Deformation, halo, and bubble structure: A paradigm shift of exotic phenomena in light to medium mass nuclei

G. Singh; Jagjit Singh; M. Kimura; R. Barman; R. Chatterjee; Shubhchintak; W. Horiuchi

REVIEW 5 major objections 5 minor 271 references

Deformation, halo, and bubble structure: A paradigm shift of exotic phenomena in light to medium mass nuclei

T0 review · 5 major / 5 minor · reviewed 2026-08-01 · deepseek-v4-flash

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Pith's one-line read This paper argues that a unified structure-plus-reaction toolkit—antisymmetrized molecular dynamics for structure, the Glauber model for reaction cross sections, and finite-range distorted wave Born approximation (FRDWBA) for Coulomb breaku

desk verdict A candid, internally honest review of the authors' own FRDWBA program; the halo and spin-parity claims are model-dependent because of the single-ℓ assumption and C²S=1, and the 'paradigm shift' framing oversells results whose final r-process abundances barely change. read the letter →

arxiv 2607.21730 v1 pith:XRBKBGFY submitted 2026-07-23 nucl-th

R. Barman , R. Chatterjee , W. Horiuchi , M. Kimura , G. Singh , Jagjit Singh , Shubhchintak This is my paper · ORCID

classification nucl-th MSC 81V35 PACS 21.10.Gv24.10.-i25.60.Gc26.30.-k

keywords islandofinversionhalonucleiBorromeanCoulombbreakupFRDWBAantisymmetrizedmoleculardynamicsGlaubermodelr-processnucleosynthesis

verification ladder T0 review T1 audit T2 compute T3 formal

The pith

A machine-rendered reading of the paper's core claim, the machinery that carries it, and where it could break.

The reading

The review integrates microscopic structure calculations with reaction theories to pin down the ground states of weakly bound nuclei in the island of inversion (N=20-28). It claims that Coulomb breakup observables computed with FRDWBA, using a single-ℓ wave function justified by the dominance of the lowest-ℓ component at low separation energy, identify 29Ne, 31Ne, 34Na, and 37Mg as one-neutron halos with dominant p-wave (Jπ=3/2−) configurations. It further predicts 29F, 31F, 39Na, and 40Mg as Borromean two-neutron halos, discusses bubble nuclei with depleted central density, and shows that replacing Hauser-Feshbach rates with FRDWBA-based (n,γ) rates changes local r-process abundances by orders of magnitude. If correct, this would overturn traditional shell-model expectations near the dripline and demonstrate that exotic structure inputs are essential for reliable nucleosynthesis modeling.

What carries the argument

The load-bearing object is the FRDWBA reduced transition amplitude, factorized under the local momentum approximation into a dynamics integral (evaluated as a Bremsstrahlung integral) and a structure integral containing the projectile ground-state wave function and the fragment-fragment potential Vbc(r1), which carries axially symmetric quadrupole deformation (Eqs. 30-31). Because the structure part is separable, deformation can be varied in the potential without altering the dynamics, and the single-ℓ dominance approximation—lowest ℓ rules the asymptotic wave function when the separation energy tends to zero—lets the authors use a spherical single-ℓ wave function despite deformation. For th

What would settle it

A precise Coulomb breakup measurement of 34Na on a lead target, combined with an independent mass measurement of its one-neutron separation energy: if the data cannot be fitted by the p-wave FRDWBA with any spectroscopic factor C²S ≤ 1 and a separation energy consistent with the mass value (0.17 ± 0.50 MeV), the single-ℓ approximation and the Jπ=2− halo assignment would be falsified. Similarly, if the extracted Sn for 37Mg using shell-model C²S=0.42 does not shift from 0.35 to 0.14 MeV as the paper predicts, the assumed relation between spectroscopic factor and breakup cross section breaks dow

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Extended reading notes

Core claim

The central claim is that a weakly bound valence neutron can be described by its dominant low-ℓ component even in a deformed potential, so that the projectile ground-state wave function for 29Ne, 31Ne, 34Na, and 37Mg is well approximated by a spherical Woods-Saxon solution for ℓ=1, with deformation entering through the interaction potential. Using this wave function in the post-form FRDWBA, the authors reproduce measured one-neutron removal cross sections and parallel momentum distributions, concluding that each nucleus has a ground state with Jπ=3/2− and p-wave halo character. For two-neutron systems, hyperspherical three-body calculations with core+n and nn interactions predict Borromean h

Load-bearing premise

The single-ℓ dominance approximation: for very weakly bound valence neutrons, the lowest-ℓ component is assumed to dominate the asymptotic wave function even in a deformed potential, so the projectile ground state can be computed from a spherical Woods-Saxon well for one ℓ; if deformation-induced ℓ-mixing or core degrees of freedom are substantial, the extracted spin-parities and separation energies shift.

Editorial extensions

If this is right

If the assignments hold, 29Ne, 31Ne, 34Na, and 37Mg join the established club of p-wave one-neutron halos, and their ground-state spin-parities (Jπ=3/2−) can be used as fixed inputs for future shell-model and ab initio studies.
The predicted Borromean halos 31F, 39Na, and 40Mg have calculable matter radii and reaction cross sections that can be tested at next-generation rare-isotope beam facilities.
FRDWBA rates for neutron capture on weakly bound dripline nuclei should replace Hauser-Feshbach rates in r-process network calculations; doing so shifts local abundances by several orders of magnitude even when only a few reactions are changed.
The near-universal linear scaling between the relative-energy-spectrum peak and the one-neutron separation energy (slope ~1.01 across deformation values) provides a quick way to extract Sn for weakly bound deformed nuclei.
Proton elastic scattering at the first diffraction peak can serve as a spectroscopic probe of diffuseness and thus of particle-hole configurations and bubble structure in these exotic nuclei.

Reading between the lines

Editorial extensions of the paper, not claims the author makes directly.

The single-ℓ dominance approximation is the hinge of the paper's conclusions; if deformation-induced ℓ-mixing or neglected core degrees of freedom turn out to be significant in these deformed drip-line nuclei, the extracted spin-parities and separation energies could shift, so the framework's reach may be limited to the most weakly bound systems.
The paper's own sensitivity analysis (Sn decreasing from 0.35 to 0.14 MeV when C²S goes from 1 to 0.42 in 37Mg) implies that spectroscopic factors are a larger source of uncertainty than deformation; future work should combine FRDWBA with structure models that supply both the single-particle wave function and the spectroscopic factor consistently.
A testable extension is to apply the same toolkit to nuclei just outside the island of inversion, such as neutron-rich carbon and oxygen isotopes, to see whether the predicted p-wave dominance and halo signatures persist or fade as the separation energy increases.
The r-process abundance shifts reported here come from replacing only five reaction rates; since direct-capture dominance likely extends to many other weakly bound species, the cumulative effect on final abundances could be larger than the 'few orders of magnitude' shown, a point the paper leaves implicit.

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Editorial analysis

A structured set of objections, weighed in public.

Desk editor's note, referee report, and a circularity audit.

Desk Editor's Note

read the letter

Colleague,

Know this: it is a review, and a fairly honest one. The genuinely new content is limited — the SkyNet abundance runs with five FRDWBA rates, and the assembly of AMD, Glauber, and FRDWBA into one narrative. The structural results (29Ne/31Ne/34Na/37Mg one-neutron halos, the Borromean candidates) are recycled from prior papers. But as a review it is useful and unusually candid about its own compromises.

What it does well: the formalism sections are accurate, and the paper explicitly says deformation is not treated self-consistently (Sec. 2.3), that extracted Sn depends on C²S (Fig. 10), that predicted PMD widths disagree with measured ones (Table 6), and that 1/2+ is not entirely ruled out for 29Ne/31Ne. That transparency is real and worth crediting. The Borromean and bubble sections are competent summaries, and the 34Na sensitivity study makes the right general point: capture rates need structure inputs, not just masses and level densities.

The soft spots are the ones the stress-test names, in roughly that order of importance. The single-ℓ dominance assumption is genuinely the hinge. Every spin-parity and Sn extraction for the one-neutron halos assumes a spherical Woods-Saxon wave function for one ℓ, with deformation entering only through the reaction potential. The paper justifies this by citing Fig. 8 and Ref. [102], but Fig. 8 tests only negative-parity ℓ=1,3,5 mixing at β2=0.2; it does not test positive-parity s/d mixing, and the 1/2+ candidate for 29Ne is not excluded by the neutron-removal cross sections. Their own numbers show the sensitivity: C²S=0.42 vs 1.0 moves the extracted 37Mg Sn from 0.35 to 0.14 MeV, and the 31Ne PMD FWHM is 51 MeV/c versus the measured 77 MeV/c. So the halo assignments are model-dependent — but the paper largely says so. The bigger problem is the packaging: “challenging traditional shell-model paradigms” and “paradigm shift” oversell results that are mostly consistent with prior work and whose final r-process abundances the authors themselves describe as “largely unchanged.”

The astrophysical section is the weakest part. Swapping direct-capture FRDWBA rates for Hauser-Feshbach rates in a network shows local abundance changes, then the final mass-integrated abundances barely move. That is a legitimate model-comparison sensitivity study — the text concedes the two frameworks describe different physics — but the abstract’s claim about refining r-process models is stronger than the evidence.

Overall: sound as a review, not as a claim of paradigm shift. The math is standard, the citations are broad, the self-citations are legitimate because these are the authors’ own peer-reviewed FRDWBA results, and the limitations are stated. The reader’s conditional verdict is about right. I would send it to a serious referee to push on the framing, the C²S and systematic uncertainties, and to demand a clear statement that the halo assignments remain model-dependent pending FRIB data. It deserves referee time, not desk rejection.

Referee Report

5 major / 5 minor

Summary. This review proposes a unified framework for exotic structures in the island of inversion (N=20–28), combining antisymmetrized molecular dynamics (AMD) structure calculations with two reaction theories: the Glauber model for high-energy total reaction cross sections and the finite-range distorted wave Born approximation (FRDWBA) for Coulomb breakup. The paper applies this toolkit to claim one-neutron halo ground states with dominant p-wave (J^π=3/2^-) configurations for 29Ne, 31Ne, 34Na, and 37Mg; two-neutron Borromean halos for 29F, 31F, 39Na, and 40Mg; and to show that replacing Hauser-Feshbach (n,γ) rates with FRDWBA rates changes local r-process abundances by several orders of magnitude. The manuscript is unusually candid about its main approximations: it explicitly states that the single-ℓ dominance approximation is not fully self-consistent and that the C²S=1 spectroscopic assumption is an idealization. However, the impact of these approximations on the central structural and astrophysical claims is not quantified.

Significance. If validated, the paper would deliver a predictive AMD+FRDWBA/Glauber toolkit for dripline physics, with concrete experimental targets at FRIB, RIBF, and FAIR. The review's strengths include its honest treatment of uncertainties: Fig. 10 shows the explicit sensitivity of the extracted 37Mg separation energy to C²S and β2, and the Glauber calculations are parameter-free once densities are fixed. The predictions for 34Na and for two-neutron halos in 31F, 39Na, and 40Mg are falsifiable and timely. The weakness is that the load-bearing single-ℓ dominance approximation is tested only in a narrow sector (negative-parity ℓ=1,3,5 at β2=0.2) and no benchmark against more complete reaction frameworks (XCDCC, particle-rotor, or CDCC with core excitation) is provided. The C²S=1 assumption is shown by the paper's own analysis to shift extracted Sn values by a factor of ~2.5, which propagates into the halo classification and the astrophysical rates.

major comments (5)

[Sec. 2.3, after Eq. (32)] The single-ℓ dominance approximation is the hinge of all FRDWBA conclusions. The text concedes the approach does not treat static deformation self-consistently, and Fig. 8 tests only negative-parity ℓ=1,3,5 at β2=0.2; it does not test s-wave (ℓ=0) mixing or dynamic core excitations. The consequences are visible in the paper's own results: Fig. 9 shows p- and s-wave cross sections overlapping within experimental bands for 29Ne and 31Ne, Table 6 gives a p-wave FWHM of 51 MeV/c vs. the measured 77(18) MeV/c for 31Ne, and Fig. 10 shows C²S-induced shifts. Please benchmark against an XCDCC or particle-rotor calculation for at least one nucleus (e.g., 31Ne) or provide a quantitative estimate of the systematic uncertainty from neglected ℓ-mixing. Without this, the J^π=3/2^- assignments and the extracted Sn values remain model-dependent.
[Sec. 3.3.2, Fig. 10] The uniform C²S=1 assumption is adopted for all configurations despite the text citing shell-model values as low as 0.31 for 37Mg and breakup analyses giving 0.42. Fig. 10 shows that using C²S=0.42 instead of 1.0 changes the extracted 37Mg Sn from 0.35 MeV to 0.14 MeV, a factor ~2.5 shift. Because the extracted Sn values feed directly into the halo classification (low Sn is a prerequisite) and into the astrophysical rates of Sec. 4, this sensitivity must be propagated. The paper should either adopt literature C²S values where available or present C²S sensitivity plots for all four one-neutron halo candidates, not just 37Mg.
[Table 6, Sec. 3.3.5] The calculated p-wave FWHM for 31Ne is 51.24 MeV/c (β2=0), while the measured inclusive width is 77(18) MeV/c on a carbon target. This is a ~40% discrepancy. The text notes the experimental widths are on carbon but does not address the target/mechanism mismatch: the measurements include nuclear breakup contributions, whereas the calculations are pure Coulomb breakup. Since narrow PMDs are a central halo signature, this discrepancy should be discussed quantitatively — e.g., an estimate of nuclear breakup contributions or an explicit statement that the comparison is only qualitative. The same caveat applies to the comparison with well-known halo nuclei such as 11Be.
[Sec. 4.2, Figs. 20-22] The abstract claims the results demonstrate 'their role in the refinement of r-process nucleosynthesis models and elemental abundance predictions.' However, the network calculation modifies only five rates, and the paper itself states that 'the overall final abundance pattern remains largely unchanged.' Fig. 22 shows local changes up to a few orders of magnitude in the logarithmic ratio, but only for nuclei with low abundance. The claim should be qualified: the modified rates alter local isotopic abundances and can redirect flow near the drip line, but the global r-process pattern is stable under these replacements. Please soften the abstract and the concluding statements accordingly.
[General — circularity and self-review] The review is to a large extent a summary of the authors' own program: the decisive methodological references [90,97,98,102,105-107,249] share authorship, and the quantities loop through the data — Woods-Saxon potentials are tuned to literature Sn values, and the cross sections are then compared with experimental data to re-extract Sn. The manuscript should explicitly delineate which inputs are taken from independent measurements and which are model outputs, and should discuss the extent to which the extracted Sn values are independent of the inputs used to generate the wave functions. This is a transparency issue that affects the reader's ability to assess the strength of the structural conclusions.

minor comments (5)

[Fig. 8] Panel labels (a)-(d) are placed inside the panels. Consider moving them outside to avoid overlapping with the curves, especially the 29Ne and 31Ne panels where the labels sit near the x-axis.
[Eq. (31)] The sign convention for β2 and the relation to the standard Bohr-Mottelson deformed potential should be stated explicitly. The text says β2 is the quadrupole deformation parameter, but the sign conventions matter for the comparison with, e.g., the Nilsson model.
[Sec. 2.3] The adopted Woods-Saxon parameter values (r0, d, Vws) for each nucleus are scattered across the cited original papers. A summary table would make the review self-contained and help readers reproduce the calculations.
[References] A number of the most load-bearing references (e.g., [90,97,98,102,105-107,249]) are by the authors themselves. Calling this out in a footnote or in the introduction would improve transparency.
[Title and abstract] The phrase 'paradigm shift' in the title is stronger than the content supports; the paper presents a comprehensive toolkit and a set of candidly model-dependent applications. Consider softening the title to reflect the review's actual scope.

Circularity Check

0 steps flagged · score 0.0 of 10

No significant circularity: the review’s structural and astrophysical claims are checked against external data, and fitting steps are disclosed rather than mislabeled as predictions.

full rationale

The paper’s load-bearing results—FRDWBA Coulomb-breakup cross sections, extraction of one-neutron separation energies, two-neutron halo radii, and r-process abundance changes—are all compared with independent experimental data or are explicitly presented as sensitivity studies. The Woods–Saxon potential is tuned to literature separation energies, and the same separation energies are later re-extracted from cross-section comparisons; this is a disclosed analysis loop, not a claim that the extracted values are first-principles predictions. The paper explicitly states that ‘the extracted Sn values from Coulomb breakup data are intimately linked to the assumed C2S’ and shows how they shift with C2S and β2, so the model dependence is acknowledged rather than hidden. Similarly, the three-body force V3b is ‘adjusted freely to match the desired two-neutron separation energy s2n’, but the resulting matter radii are then compared to measured radii (e.g., for 29F), which is an independent check rather than a circular validation. The single-ℓ dominance approximation is justified by an in-paper numerical solution of the coupled-channel equation (Fig. 8) and by ANC calculations, not solely by the cited prior work; the limitation that static deformation is not treated self-consistently is also stated explicitly. Frequent self-citations occur because this is a review of the authors’ own program, but the decisive physics is either re-derived in the manuscript or benchmarked against external data, so the self-citations are not load-bearing in a way that makes the conclusions circular.

Assumptions & free parameters 5 free parameters · 7 assumptions · 0 invented entities

Everything load-bearing in this review is imported: AMD wave functions depend on the Gogny D1S interaction; FRDWBA analysis depends on the single-ℓ dominance premise (from the authors' earlier Ref. [102]), the LMA, C²S = 1, and WS geometries cited to other papers; the three-body halo radii depend on core+n potentials fitted to continuum spectra plus a freely adjusted V3b. No new particles, forces, or conserved quantities are introduced. The genuine added value is the synthesis and the falsifiable application to unmeasured systems (34Na, 31F, 39Na, 40Mg).

free parameters (5)

Spectroscopic factor C²S = 1.0 assumed (literature values 0.31–0.42)
All FRDWBA cross sections assume C²S = 1.0 (Sec. 3.3.2); shell-model and eikonal analyses give 0.31–0.42. Extracted Sn depends strongly on this (Fig. 10a–b).
One-neutron separation energy Sn = 0.295 ± 0.055 MeV (31Ne, p-wave); 0.35 ± 0.06 MeV (37Mg)
The Woods-Saxon potential is tuned to reproduce Sn, then Sn is 'extracted' by matching computed σ−1n to experimental bands (Fig. 9) and reused as a structural constraint.
Quadrupole deformation β2 = varied 0.0–0.5 in FRDWBA; β = 0.45–0.52 in AMD
Deformation sensitivity of all Coulomb-breakup observables is explored by hand-scanning β2 (Figs. 11–15); extracted Sn shifts with β2 (Fig. 10c).
Woods-Saxon geometry (r0, d, Vws) = values cited to references; 'adjusted according to the nucleus chosen for study'
The deformed WS potential in Eq. (31) has r0 and d as adjustable geometry inputs besides β2; exact values are not given in the text.
Three-body force strength V3b = adjusted freely to match s2n
Sec. 3.4: the ternary Gaussian potential strength is tuned so the three-body system reproduces the target two-neutron separation energy; with V3b = 0 the systems overbind.

assumptions (7)

domain assumption Glauber adiabatic and eikonal approximations with parametrized NN profile function (Eqs. 13–18)
Sec. 2.2 imports standard Glauber multiple-scattering theory with NN parameters from Refs. [64,66,67]; the review notes the OLA/NTG/few-body approximation levels and their validity ranges.
domain assumption Lowest-ℓ dominance for weakly bound valence neutrons (Ref. [102])
Load-bearing: justifies replacing the deformed coupled-channel wave function (Eq. 32) with a single-ℓ spherical WS wave function in all FRDWBA applications (Sec. 2.3).
domain assumption Local momentum approximation with K magnitude fixed at R = 10 fm
The T-matrix factorization (Eq. 30) uses the LMA; constant K at R = 10 fm is justified by peripheral-reaction dominance (Sec. 2.3).
ad hoc to paper C²S = 1 for all valence configurations
Assumed throughout Sec. 3.3; the review concedes 'significant variations in C²S values have been reported in the literature' and shows Sn extraction depends on it.
domain assumption Gogny D1S effective interaction for AMD
The microscopic Hamiltonian (Eq. 1) uses the Gogny D1S parameterization from Ref. [45]; all AMD structure results inherit its physics.
domain assumption Inert-core approximation for Borromean three-body systems
Sec. 3.4: 'an inert-core approximation is commonly adopted... any effects due to internal core rearrangements or core-valence exchange are effectively absorbed into the parameters.'
domain assumption Single-multipole (E1) dominance in extracting (n,γ) from Coulomb dissociation
Eq. (37) maps dσ/dErel to photodisintegration via virtual photon numbers, valid for one multipole; the review argues this is 'not too restrictive' but does not demonstrate it case-by-case.

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Cite this review

Pith. "Pith review of Deformation, halo, and bubble structure: A paradigm shift of exotic phenomena in light to medium mass nuclei." pith.science (2026). https://pith.science/paper/XRBKBGFY

@misc{pith2026260721730,
  author       = {Pith},
  title        = {Pith review of: Deformation, halo, and bubble structure: A paradigm shift of exotic phenomena in light to medium mass nuclei},
  year         = {2026},
  howpublished = {\url{https://pith.science/paper/XRBKBGFY}},
  note         = {Machine review of arXiv:2607.21730}
}

abstract

The emergence of exotic nuclear structures, such as deformation, one- and two-neutron halos, and bubble configurations, marks a paradigm shift in our understanding of light- to medium-mass nuclei far from stability, particularly near and within the island of inversion extending across $N=20-28$. In this review, we integrate microscopic structure calculations using the antisymmetrized molecular dynamics method with reaction theories such as the Glauber model for high-energy collisions, and highlight the use of the fully quantum mechanical finite-range distorted wave Born approximation for calculating both inclusive and exclusive Coulomb breakup observables for these medium mass systems. These theoretical frameworks enable precise probing of nuclear density profiles through observables such as total reaction cross sections, neutron removal cross sections, relative energy spectra, parallel momentum distributions, and angular distributions. Applications to several nuclei in the island of inversion reveal enhanced halo extensions, neutron-neutron correlations in Borromean nuclei, and central density depletions in bubbles, challenging traditional shell-model paradigms. Furthermore, the sensitivity of astrophysical reaction rates to these exotic inputs is explored, demonstrating their role in the refinement of r-process nucleosynthesis models and elemental abundance predictions. This unified approach not only bridges nuclear structure and reactions, but also highlights the driplines as frontiers for unraveling nuclear matter under extreme conditions, with implications for rare-isotope beam experiments and beyond.

Figures

Figures reproduced from arXiv: 2607.21730 by the authors.

**Figure 1.** A selected area of the nuclear Segrè chart for the 7 ≤ Z ≤ 20 isotopes. The orange lines correspond to traditional proton and neutron magic numbers at 2, 8, 20, 28, and 40. Black, blue, red, green, and magenta squares mark the stable, one-neutron/proton halos, two-neutron/proton Borromean halos, Borromean with Borromean core (four-neutron halos), and bubble systems, respectively. The original and modern versions of … view at source ↗

**Figure 2.** presents an enlarged segment of the nuclear Segrè chart, emphasizing the B-IoI, which constitutes the primary subject of this review. 28F 29F 30F 31F 29Ne 30Ne 31Ne 32Ne 33Ne 34Ne 30Na 31Na 32Na 33Na 34Na 35Na 36Na 37Na 38Na 39Na 31Mg 32Mg 33Mg 34Mg 35Mg 36Mg 37Mg 38Mg 39Mg 40Mg 41Mg 32Al 33Al 34Al 35Al 36Al 37Al 38Al 39Al 40Al 41Al 42Al 43Al N=28 N=20 [PITH_FULL_IMAGE:figures/full_fig_p004_2.png] view at source ↗

**Figure 3.** presents a schematic representation of such an elastic breakup process, which is one where the target remains in its g.s. Using the post form FRDWBA theory we formulate a plan to compute the various reaction observables that can highlight the structure of the projectile as well as calculate its neutron capture reaction rates to study its astrophysical applications and relevance. The first step in the process is to e… view at source ↗

Figures from the paper (19 more)

**Figure 4.** Figure 4: The three-body Jacobi coordinate system for a ‘possibly’ deformed projectile ‘a’ impinging on a target ‘t’. Generically, the triple differential cross-section is defined as, d 3σ dEbdΩbdΩc = 2π hv¯ at ρ(Eb, Ωb, Ωc) 1 ˆj 2 a X µaµbµc |T (+) f i | 2 , (23) where Eb is th…

**Figure 5.** Figure 5: A schematic illustration of particle-hole configurations for N=19 nuclei. Nuclear deformation is a prominent feature in N=20 island of inversion. The intruder configurations result in strong deformation in these systems, generating different particle-hole (mpnh) config…

**Figure 6.** Figure 6: The excitation spectra of 29Ne. The experimental data are taken from Refs. [190–192]. The nuclear surface density provides valuable insights into such complicated structures of nuclei. Surface properties such as radii and diffuseness reflect different particle-hole con…

**Figure 7.** Figure 7: Angular distribution of proton-elastic scattering cross sections at 800 MeV/nucleon for the nuclei shown in [PITH_FULL_IMAGE:figures/full_fig_p017_7.png]

**Figure 8.** Figure 8: The deformed bound-state wave functions of 29Ne, 31Ne, 34Na, and 37Mg calculated by solving Eq. (32). The (black) solid curves represent the wave functions at zero deformation. The (green) dotdashed curves correspond to the wave functions at a deformation of β2 = 0.2,…

**Figure 9.** Figure 9: The total one-neutron removal cross section (σ−1n) is plotted as a function of neutron separation energy (Sn) for 29Ne, 31Ne, 34Na, and 37Mg undergoing elastic breakup on a Pb target at beam energies of 244, 234, 100, and 244 MeV/nucleon, respectively, obtained using t…

**Figure 10.** Figure 10: (a–b) One-neutron separation energy (Sn) as a function of spectroscopic factor (C 2S) for the breakup of 37Mg on a Pb target, considering two different ground state configurations of 37Mg. (c) Sn deduced from the comparison of theoretical calculations with experimenta…

**Figure 11.** Figure 11: Relative energy spectra of the outgoing fragments corresponding to the breakup reactions shown in panels (a–d) of [PITH_FULL_IMAGE:figures/full_fig_p028_11.png]

**Figure 12.** Figure 12: Peak positions of relative energy spectra as a function of Sn in the breakup of 31Ne and 34Na on 208Pb at 234 MeV/nucleon and 100 MeV/nucleon, respectively. The valence neutrons in the ground states of both 31Ne and 34Na are supposed to be filled in the 2p3/2 orbital.…

**Figure 13.** Figure 13: Full width at half maximum (FWHM) of the parallel momentum distribution of 36Mg, obtained from the Coulomb breakup of 37Mg on a Pb target at a beam energy of 244 MeV/nucleon, shown as a function of the one-neutron separation energy (Sn) and the quadrupole deformation …

**Figure 14.** Figure 14: Neutron energy-angular distributions for the Coulomb breakup of 31Ne [panels (a) and (b)] and 37Mg [panels (c) and (d)] on Au and Pb targets at beam energies of 234 and 244 MeV/nucleon, respectively. Panels (a) and (c) display the calculated distributions at three dif…

**Figure 15.** Figure 15: Neutron angular distribution for Coulomb breakup of (a) 31Ne on Au target at 234 MeV/nucleon beam energy (b) 37Mg on a Pb target at 244 MeV/nucleon beam energy. 3.3.7 Neutron angular distribution In [PITH_FULL_IMAGE:figures/full_fig_p035_15.png]

**Figure 16.** Figure 16: The matter radii (Rm) for various isotopes of F (29F and 31F), Na (39Na), and Mg (40Mg). The experimental value shown in the black circle is taken from Ref. [52]. rearrangements or core-valence exchange are effectively absorbed into the parameters of the angular momen…

**Figure 17.** Figure 17: The total reaction cross section (σR) for various isotopes of F (29F and 31F), Na (39Na), and Mg (40Mg) at different incident energies. The experimental value shown in the black circle is taken from Ref. [52]. model configurations. The density for the three-body syste…

**Figure 18.** Figure 18: The variation of the capture cross-section and reaction rate due to differences in the structural parameters of a weakly bound nucleus. The study is done for the 33Na(n, γ) 34Na radiative capture reaction using the elastic Coulomb dissociation of 34Na on 208Pb at 100 …

**Figure 19.** Figure 19: Limited network consisting of Na, Mg and Al isotopes. (α, n) reaction rates from the JINA-REACLIB database [402], indicated by the dotted red lines. Then for two reaction channels, i.e., for the 33Na(n, γ) 34Na and 36Mg(n, γ) 37Mg reactions, rates (including also the …

**Figure 20.** Figure 20: Abundance evolution of network shown in [PITH_FULL_IMAGE:figures/full_fig_p049_20.png]

**Figure 21.** Figure 21: Comparison of the final mass-integrated abundances obtained using only the JINA-REACLIB reaction rates (solid red line) and those obtained by incorporating the FRDWBA rates together with the JINA-REACLIB rates (dashed blue line), shown for two astrophysical scenarios:…

**Figure 22.** Figure 22: The logarithmic abundance ratios shown for the CCSN and NSM cases. Each square represents a nucleus, and the color scale indicates the logarithmic ratio between the abundances obtained by incorporating the FRDWBA reaction rates for the selected nuclei while retaining …

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