Probing nuclear interactions \`a la Rutherford: Insights on ⁴He from α scattering
Pith reviewed 2026-05-25 02:28 UTC · model grok-4.3
The pith
Alpha-alpha scattering data on the helium-4 resonance is consistent with current nuclear models when using the same densities as electron scattering studies.
A machine-rendered reading of the paper's core claim, the machinery that carries it, and where it could break.
Core claim
By performing a high-sensitivity study of ^4He + ^4He scattering and analyzing the spectral line shape with phenomenological modeling that uses the same nuclear densities as electron-scattering studies, the full set of experimental observables is reasonably described within current nuclear-interaction physics, thereby highlighting the need for further advancing the modeling of few-body open quantum systems.
What carries the argument
Phenomenological reaction modeling that incorporates the same nuclear densities from electron-scattering studies to fit alpha-alpha scattering observables on the ^4He resonance.
If this is right
- The resonance properties align with existing parametrizations of nuclear interactions without requiring new physics.
- Consistency holds between electron scattering and alpha scattering when densities are shared.
- The data do not indicate gaps in the basic nuclear interaction models for this system.
- Advancement is needed specifically in treatments of few-body open quantum systems to resolve any remaining discrepancies.
Where Pith is reading between the lines
- The same consistency-testing method could be applied to resonances in other light nuclei to check model robustness across probes.
- Better open-channel modeling might improve predictions for helium-burning reactions in stars.
- If the modeling gap is closed, it could reduce uncertainties in calculations of nuclear response to external probes.
Load-bearing premise
The phenomenological reaction modeling that incorporates the same nuclear densities employed in electron-scattering studies is sufficiently accurate to allow a meaningful consistency test between the two classes of observables.
What would settle it
A measurement of the resonance line shape or cross sections in alpha scattering that deviates significantly from the predictions of the phenomenological model using the shared densities would falsify the claim of reasonable description.
Figures
read the original abstract
Nuclear interactions play a key role for the stability of atomic nuclei and stellar environments. Successful parametrization and models of these interactions, developed in the last decades, accurately reproduce all the proton and neutron scattering data, besides the properties of few-body nuclear systems. However, recent electron scattering results focusing on the first excited resonant state of $^4$He nucleus, reveal a puzzling situation suggesting potential gaps in our understanding of the nuclear phenomenology. Here, we report a new study of such $^4$He resonance by $^4$He + $^4$He scattering featuring data of unprecedented sensitivity and state-of-art analyses of the spectral line shape together with a phenomenological reaction modeling that incorporates the same nuclear densities employed in electron-scattering studies. Our analysis of the full set of experimental observables yields a reasonable description within the framework of current nuclear-interaction physics, thereby highlighting the need for further advancing the modeling of few-body open quantum systems.
Editorial analysis
A structured set of objections, weighed in public.
Referee Report
Summary. The manuscript reports a new analysis of the first excited resonant state of ^4He via ^4He + ^4He scattering, using data of high sensitivity together with spectral line-shape analysis and a phenomenological reaction model that employs the identical nuclear densities from prior electron-scattering work. The central claim is that the full set of observables is reasonably described within existing nuclear-interaction frameworks, while underscoring the need for improved modeling of few-body open quantum systems.
Significance. If substantiated, the result would supply a valuable cross-probe consistency test between alpha scattering and electron scattering on the same ^4He resonance, using shared densities to reduce one source of model dependence. This could clarify the puzzling electron-scattering findings and affirm the broad applicability of current nuclear models while identifying specific gaps in few-body resonance treatments. The explicit linkage of the two classes of observables via common densities is a methodological strength.
major comments (1)
- [Abstract] Abstract: the assertion that the analysis 'yields a reasonable description within the framework of current nuclear-interaction physics' is presented without any reported quantitative metrics (χ²/dof, resonance-parameter shifts with uncertainties, sensitivity to density variations, or direct comparison to the electron-scattering observables). This absence makes it impossible to judge whether the phenomenological reaction model reproduces the data or merely absorbs discrepancies flagged by the electron measurements.
Simulated Author's Rebuttal
We thank the referee for the constructive comment and positive overall assessment of the work. We address the single major comment below and will revise the manuscript accordingly.
read point-by-point responses
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Referee: [Abstract] Abstract: the assertion that the analysis 'yields a reasonable description within the framework of current nuclear-interaction physics' is presented without any reported quantitative metrics (χ²/dof, resonance-parameter shifts with uncertainties, sensitivity to density variations, or direct comparison to the electron-scattering observables). This absence makes it impossible to judge whether the phenomenological reaction model reproduces the data or merely absorbs discrepancies flagged by the electron measurements.
Authors: We agree that the abstract is concise and does not quote explicit numerical metrics. The body of the manuscript does report χ²/dof values for the line-shape fits, extracted resonance parameters with uncertainties, and direct comparisons of the α+α observables to the electron-scattering results using the identical densities. To make the abstract claim more transparent, we will revise it to include a brief statement of the key quantitative indicators (e.g., overall χ²/dof and level of agreement within uncertainties). revision: yes
Circularity Check
No load-bearing circularity; densities taken from independent electron-scattering literature
full rationale
The abstract states that the phenomenological reaction modeling incorporates nuclear densities from electron-scattering studies and that the analysis of alpha-scattering observables yields a reasonable description. No equations, fitted parameters renamed as predictions, or self-citation chains are visible in the provided text that would reduce the central claim to its own inputs by construction. The densities are presented as external input, and the conclusion is framed as a consistency test rather than a self-defined result. This matches the default expectation of no significant circularity (score 0-2).
Axiom & Free-Parameter Ledger
Lean theorems connected to this paper
-
IndisputableMonolith/Foundation/AlexanderDuality.leanalexander_duality_circle_linking (D=3 forcing) unclear?
unclearRelation between the paper passage and the cited Recognition theorem.
phenomenological reaction modeling that incorporates the same nuclear densities employed in electron-scattering studies... coupled channel quantum scattering theory... double folding... chiral EFT densities
-
IndisputableMonolith/Cost/FunctionalEquation.leanwashburn_uniqueness_aczel (J-cost uniqueness) unclear?
unclearRelation between the paper passage and the cited Recognition theorem.
Fano analysis... line shape... Er = 0.50±0.02 MeV, Γr = 0.29±0.04 MeV
What do these tags mean?
- matches
- The paper's claim is directly supported by a theorem in the formal canon.
- supports
- The theorem supports part of the paper's argument, but the paper may add assumptions or extra steps.
- extends
- The paper goes beyond the formal theorem; the theorem is a base layer rather than the whole result.
- uses
- The paper appears to rely on the theorem as machinery.
- contradicts
- The paper's claim conflicts with a theorem or certificate in the canon.
- unclear
- Pith found a possible connection, but the passage is too broad, indirect, or ambiguous to say the theorem truly supports the claim.
Reference graph
Works this paper leans on
-
[1]
Rutherford, E. The scattering ofαandβparticles by matter and the struc- ture of the atom.The London, Edinburgh, and Dublin Philosophical Magazine and Journal of Science21, 669–688 (1911). URL https://doi.org/10.1080/ 14786440508637080
work page 1911
-
[2]
The British Association Meeting at Edinburgh.Nature4, 261–278 (1871)
News. The British Association Meeting at Edinburgh.Nature4, 261–278 (1871). URL https://doi.org/10.1038/004261a0
-
[3]
Clusters in nuclei.Scholarpedia (Ed
Freer, M. Clusters in nuclei.Scholarpedia (Ed. N. Alamanos)5, 9652 (2010). URL http://dx.doi.org/10.4249/scholarpedia.9652
-
[4]
Iliadis, C.Nuclear Physics of Stars(Wiley, Weinheim, 2007)
work page 2007
-
[5]
Kamada, H.et al.Benchmark test calculation of a four-nucleon bound state. Phys. Rev. C64, 044001 (2001). 14
work page 2001
-
[6]
URL https://www.frontiersin.org/journals/physics/articles/10.3389/ fphy.2023.1129094
Ekstr¨ om, A.et al.What is ab initio in nuclear theory?Frontiers in Physics 11(2023). URL https://www.frontiersin.org/journals/physics/articles/10.3389/ fphy.2023.1129094
-
[7]
Pudliner, B. S., Pandharipande, V. R., Carlson, J. & Wiringa, R. B. Quantum monte carlo calculations ofA≤6 nuclei.Phys. Rev. Lett.74, 4396–4399 (1995). URL https://link.aps.org/doi/10.1103/PhysRevLett.74.4396
-
[8]
Wiringa, R. B., Stoks, V. G. J. & Schiavilla, R. Accurate nucleon-nucleon poten- tial with charge-independence breaking.Phys. Rev. C51, 38–51 (1995). URL https://link.aps.org/doi/10.1103/PhysRevC.51.38
-
[9]
Epelbaum, E., Hammer, H.-W. & Meißner, U.-G. Modern Theory of Nuclear Forces.Rev. Mod. Phys.81, 1773–1825 (2009)
work page 2009
-
[10]
Hammer, H.-W., K¨ onig, S. & van Kolck, U. Nuclear effective field theory: Status and perspectives.Rev. Mod. Phys.92, 025004 (2020). URL https://link.aps.org/ doi/10.1103/RevModPhys.92.025004
-
[11]
Maris, P.et al.Light nuclei with semilocal momentum-space regularized chiral interactions up to third order.Phys. Rev. C103, 054001 (2021). URL https: //link.aps.org/doi/10.1103/PhysRevC.103.054001
-
[12]
Kievsky, A., Rosati, S., Viviani, M., Marcucci, L. & Girlanda, L. A High-precision variational approach to three- and four-nucleon bound and zero-energy scattering states.J. Phys. G35, 063101 (2008)
work page 2008
-
[13]
Nature Phys.18, 1196–1200 (2022)
Hu, B.et al.Ab initio predictions link the neutron skin of 208Pb to nuclear forces. Nature Phys.18, 1196–1200 (2022)
work page 2022
-
[18]
Aoyama, S. A theoretical treatment of four-body resonances by using the complex scaling method.Progress of Theoretical and Experimental Physics2016, 123D01 (2016). URL https://doi.org/10.1093/ptep/ptw171
-
[21]
URL https://www.sciencedirect.com/science/article/pii/ 0375947468903795
Frosch, R.et al.Inelastic electron scattering from 4He.Nuclear Physics A 110, 657–673 (1968). URL https://www.sciencedirect.com/science/article/pii/ 0375947468903795
work page 1968
-
[22]
Walcher, T. Excitation of 4He by inelastic electron scattering at low momentum transfer.Physics Letters B31, 442–444 (1970). URL https://www.sciencedirect. com/science/article/pii/0370269370901486
-
[25]
Williams, L. E. Continuum resonances in He4(p, p ′ )He4∗.Phys. Rev.144, 815–822 (1966). URL https://link.aps.org/doi/10.1103/PhysRev.144.815
-
[27]
URL https://www.sciencedirect.com/science/ article/pii/0375947481906813
Baumgartner, M.et al.Theα∗and the neutron scattering lengths of 3He.Nuclear Physics A368, 189–200 (1981). URL https://www.sciencedirect.com/science/ article/pii/0375947481906813
- [28]
-
[30]
Elhatisari, S.et al.Ab initio alpha–alpha scattering.Nature528, 111–114 (2015). 16
work page 2015
-
[31]
Elhatisari, S., Hildenbrand, F. & Meißner, U.-G. Ab initio lattice study of neutron-alpha scattering with chiral forces at N3LO (2025). URL https://arxiv. org/abs/2507.08495. arXiv:2507.08495
-
[32]
Idini, A., Barbieri, C. & Navr´ atil, P. Ab initio optical potentials and nucleon scattering on medium mass nuclei.Phys. Rev. Lett.123, 092501 (2019)
work page 2019
-
[33]
Mercenne, A., Michel, N., Fern´ andez, J. P. L. & P loszajczak, M. Gamow shell model description of the 40Ca(d, p) transfer reaction.Phys. Rev. C107, L011603 (2023)
work page 2023
-
[34]
Kravvaris, K., Quaglioni, S., Hupin, G. & Navr´ atil, P. Ab initio framework for nuclear scattering and reactions induced by light projectiles.Physics Letters B 856, 138930 (2024)
work page 2024
-
[35]
Rotureau, J., Danielewicz, P., Hagen, G., Nunes, F. M. & Papenbrock, T. Optical potential from first principles.Phys. Rev. C95, 024315 (2017)
work page 2017
-
[36]
Cappuzzello, F., Agodi, C., Carbone, D. & Cavallaro, M. The MAGNEX spec- trometer: Results and perspectives.Eur. Phys. J. A52, 167 (2016). URL https://doi.org/10.1140/epja/i2016-16167-1
-
[37]
Dell’Aquila, D.et al.OSCAR: A new modular device for the identification and correlation of low energy particles.Nuclear Instruments and Methods in Physics Research Section A: Accelerators, Spectrometers, Detectors and Associated Equip- ment877, 227–237 (2018)
work page 2018
-
[38]
Harakeh, M. N. & van der Woude, A.Giant Resonances: Fundamental High- Frequency Modes of Nuclear Excitation(Oxford University Press, Oxford, 2001)
work page 2001
-
[39]
Effects of configuration interaction on intensities and phase shifts.Phys
Fano, U. Effects of configuration interaction on intensities and phase shifts.Phys. Rev.124, 1866–1878 (1961). URL https://link.aps.org/doi/10.1103/PhysRev. 124.1866
-
[40]
Luk’Yanchuk, B.et al.The Fano resonance in plasmonic nanostructures and metamaterials.Nature Materials9, 707 – 715 (2010)
work page 2010
-
[41]
URL https://www.science.org/ doi/abs/10.1126/science.1234407
Ott, C.et al.Lorentz meets Fano in spectral line shapes: A universal phase and its laser control.Science340, 716–720 (2013). URL https://www.science.org/ doi/abs/10.1126/science.1234407
-
[42]
Limonov, M., Rybin, M., Poddubny, A. & Kivshar, Y. Fano resonances in pho- tonics.Nature Photonics11, 543–554 (2017). URL https://doi.org/10.1038/ nphoton.2017.142
work page 2017
-
[43]
Paliwal, P., Blech, A., Koch, C. P. & Narevicius, E. Fano interference in quantum resonances from angle-resolved elastic scattering.Nature Communications12, 17 7249 (2021)
work page 2021
-
[44]
Cavallaro, M.et al.Investigation of the 10Li shell inversion by neutron continuum transfer reaction.Phys. Rev. Lett.118, 012701 (2017). URL https://link.aps. org/doi/10.1103/PhysRevLett.118.012701
-
[48]
Baroni, A.et al.Local chiral interactions, the tritium Gamow-Teller matrix element, and the three-nucleon contact term.Phys. Rev. C98, 044003 (2018)
work page 2018
-
[49]
Wang, R., Han, C. & Chen, X. Exploring the mass radius of 4He and implications for nuclear structure.Phys. Rev. C109, L012201 (2024). URL https://link.aps. org/doi/10.1103/PhysRevC.109.L012201
-
[50]
URL https://www.sciencedirect.com/science/article/pii/S0168900220313152
Torresi, D.et al.An upgraded focal plane detector for the MAGNEX spectrom- eter.Nuclear Instruments and Methods in Physics Research Section A: Acceler- ators, Spectrometers, Detectors and Associated Equipment989, 164918 (2021). URL https://www.sciencedirect.com/science/article/pii/S0168900220313152
work page 2021
-
[51]
URL https://www.sciencedirect.com/science/article/pii/ S0168900210011241
Cappuzzello, F.et al.A particle identification technique for large accep- tance spectrometers.Nuclear Instruments and Methods in Physics Research Section A: Accelerators, Spectrometers, Detectors and Associated Equipment 621, 419–423 (2010). URL https://www.sciencedirect.com/science/article/pii/ S0168900210011241
work page 2010
-
[52]
Cappuzzello, F., Carbone, D. & Cavallaro, M. Measuring the ions momentum vector with a large acceptance magnetic spectrometer.Nuclear Instruments and Methods in Physics Research Section A: Accelerators, Spectrometers, Detectors and Associated Equipment638, 74–82 (2011). URL https://www.sciencedirect. com/science/article/pii/S0168900211003585
work page 2011
-
[53]
McVoy, K. & Van Isacker, P. Does the ground-state resonance of 10Li overlap neutron threshold?Nuclear Physics A576, 157–164 (1994)
work page 1994
-
[54]
O. Sgouros, V. Soukeras & A. Pakou. Multip : A multi purpose simulation monte carlo algorithm for two- and three-body reaction kinematics.Eur. Phys. J. A53, 165 (2017). URL https://doi.org/10.1140/epja/i2017-12359-5. 18
-
[55]
Cavallaro, M.et al.Transport efficiency in large acceptance spectrometers. Nuclear Instruments and Methods in Physics Research Section A: Accelerators, Spectrometers, Detectors and Associated Equipment637, 77–87 (2011)
work page 2011
-
[56]
Russell, J. L., Phillips, G. C. & Reich, C. W. Scattering of alpha particles from helium.Phys. Rev.104, 135–142 (1956). URL https://link.aps.org/doi/10.1103/ PhysRev.104.135
work page 1956
-
[57]
Heydenburg, N. P. & Temmer, G. M. Alpha-alpha scattering at low ener- gies.Phys. Rev.104, 123–134 (1956). URL https://link.aps.org/doi/10.1103/ PhysRev.104.123
work page 1956
-
[60]
Tombrello, T. A. & Senhouse, L. S. Elastic scattering of alpha particles from helium.Phys. Rev.129, 2252–2258 (1963). URL https://link.aps.org/doi/10. 1103/PhysRev.129.2252
work page 1963
-
[61]
Chien, W. S. & Brown, R. E. Study of theα+αsystem below 15 MeV (c.m.). Phys. Rev. C10, 1767–1784 (1974). URL https://link.aps.org/doi/10.1103/ PhysRevC.10.1767
work page 1974
-
[63]
J.et al.The scattering of alpha particles by helium.Proceedings of the Royal Society of London
Bredin, D. J.et al.The scattering of alpha particles by helium.Proceedings of the Royal Society of London. Series A, Mathematical and Physical Sciences251, 143–155 (1959). URL http://www.jstor.org/stable/100757
work page 1959
-
[64]
Darriulat, P.Contribution ` a l’´ etude de l’interactionα−α. Ph.D. thesis, University of Paris (1965)
work page 1965
-
[66]
Gutbrod, H., Winn, W. & Blann, M. Measurement and interpretation of heavy ion fusion excitation functions.Nuclear Physics A213, 267–284 (1973). 19
work page 1973
-
[67]
Statistical model calculations in heavy ion reactions.Phys
Gavron, A. Statistical model calculations in heavy ion reactions.Phys. Rev. C 21, 230–236 (1980). URL https://link.aps.org/doi/10.1103/PhysRevC.21.230
-
[68]
Precision Physics, Fundamental Interactions, and Structure of Matter
Tarasov, O. & Bazin, D. Lise++: Radioactive beam production with in-flight separators.Nuclear Instruments and Methods in Physics Research Section B: Beam Interactions with Materials and Atoms266, 4657–4664 (2008). Acknowledgments.We warmly acknowledge Prof. H. Lenske, Prof. N. Barnea, Prof. W. Leidemann and the late Prof. A. Vitturi for enlightening discu...
work page 2008
-
[69]
(b) Same as in (a) but, for the transition matter densities
(Hiyama et al.) are depicted with the blue solid, blue dashed, grey solid and grey dashed lines, respectively. (b) Same as in (a) but, for the transition matter densities. (c) Same as in (a) but, for the 0+ 2 state. (d) Calculated densityρ0+ 2 ,0+ 2 (r) denoted with the black solid line is compared with the [α×ρE(r)], rescaled so that α×ρE(r = 0) = ρ0+ 2 ...
-
[70]
at 53.4 and 63.9 MeV, similar incident energies with the present analysis, are emphasized with the magenta stars. The red solid lines in the figure represent the predictions of the standard Brazilian Nuclear Potential (BNP). The blue dashed lines were obtained considering the renormalization of the BNP through the NR and NI values discussed in Supplementa...
-
[71]
Satchler, G. R. Direct Nuclear Reactions(Oxford University Press, Oxford, 1983)
work page 1983
-
[72]
Chamon, L., Carlson, B. & Gasques, L. S˜ ao Paulo potential version 2 (SPP2) and Brazilian nuclear potential (BNP). Computer Physics Communications 267, 108061 (2021). URL https://www.sciencedirect.com/science/article/pii/ S0010465521001739
work page 2021
-
[73]
Chamon, L. C., Gasques, L. R. & Carlson, B. V. Approximate treatment of relativistic effects in the low-energy α+αscattering. Phys. Rev. C 84, 044607 (2011). URL https://link.aps.org/doi/10.1103/PhysRevC.84.044607
-
[74]
De Vries, H., De Jager, C. & De Vries, C. Nuclear charge-density-distribution parameters from elastic electron scattering. Atomic Data and Nuclear Data Tables 36, 495–536 (1987). URL https://www.sciencedirect.com/science/article/ pii/0092640X87900131
- [75]
-
[76]
Takigawa, N., Rumin, T. & Ihara, N. Coulomb interaction between spherical and deformed nuclei. Phys. Rev. C 61, 044607 (2000). URL https://link.aps.org/doi/ 10.1103/PhysRevC.61.044607
-
[77]
Chamon, L. C. & Morales-Botero, D. F. Folding-type coupling potentials in the context of the generalized rotation–vibration model. Journal of Physics G: Nuclear and Particle Physics 45, 035104 (2018). URL https://doi.org/10.1088/ 1361-6471/aaa8b5
work page 2018
-
[78]
Hiyama, E., Gibson, B. F. & Kamimura, M. Four-body calculation of the first excited state of 4He using a realistic nn interaction: 4He(e,e ′ )4He(0+ 2 ) and the monopole sum rule. Phys. Rev. C 70, 031001 (2004). URL https://link.aps.org/ doi/10.1103/PhysRevC.70.031001
-
[79]
Bacca, S., Barnea, N., Leidemann, W. & Orlandini, G. Examination of the first excited state of 4He as a potential breathing mode. Phys. Rev. C 91, 024303 (2015). URL https://link.aps.org/doi/10.1103/PhysRevC.91.024303
-
[80]
Viviani, M., Kievsky, A., Marcucci, L. E. & Girlanda, L. Study of the alpha- particle monopole transition form factor. Few Body Systems 65, 74 (2024). URL https://doi.org/10.1007/s00601-024-01940-2
-
[81]
Meißner, U.-G., Shen, S., Elhatisari, S. & Lee, D. Ab initio calculation of the alpha-particle monopole transition form factor. Phys. Rev. Lett. 132, 062501 (2024). URL https://link.aps.org/doi/10.1103/PhysRevLett.132.062501. 16
-
[82]
Russell, J. L., Phillips, G. C. & Reich, C. W. Scattering of alpha particles from helium. Phys. Rev. 104, 135–142 (1956). URL https://link.aps.org/doi/10.1103/ PhysRev.104.135
work page 1956
-
[83]
Heydenburg, N. P. & Temmer, G. M. Alpha-alpha scattering at low ener- gies. Phys. Rev. 104, 123–134 (1956). URL https://link.aps.org/doi/10.1103/ PhysRev.104.123
work page 1956
-
[84]
Nilson, R., Kerman, R. O., Briggs, G. R. & Jentschke, W. Alpha-alpha particle scattering in the energy range 12.3 to 22.9 MeV. Phys. Rev. 104, 1673–1680 (1956). URL https://link.aps.org/doi/10.1103/PhysRev.104.1673
-
[85]
Bacher, A. D. et al. Observation of high-lying levels in 8Be from α−αelastic scattering. Phys. Rev. Lett. 29, 1331–1333 (1972). URL https://link.aps.org/ doi/10.1103/PhysRevLett.29.1331
-
[86]
Tombrello, T. A. & Senhouse, L. S. Elastic scattering of alpha particles from helium. Phys. Rev. 129, 2252–2258 (1963). URL https://link.aps.org/doi/10. 1103/PhysRev.129.2252
work page 1963
-
[87]
Chien, W. S. & Brown, R. E. Study of the α+αsystem below 15 MeV (c.m.). Phys. Rev. C 10, 1767–1784 (1974). URL https://link.aps.org/doi/10.1103/ PhysRevC.10.1767
work page 1974
-
[88]
Chamon, L. C., Carlson, B. V. & Gasques, L. R. α+αscattering reexamined in the context of the s˜ ao paulo potential. Phys. Rev. C 83, 034617 (2011). URL https://link.aps.org/doi/10.1103/PhysRevC.83.034617
-
[89]
Bredin, D. J. et al. The scattering of alpha particles by helium. Proceedings of the Royal Society of London. Series A, Mathematical and Physical Sciences 251, 143–155 (1959). URL http://www.jstor.org/stable/100757
work page 1959
-
[90]
Contribution ` a l’´ etude de l’interactionα−α
Darriulat, P. Contribution ` a l’´ etude de l’interactionα−α. Ph.D. thesis, University of Paris (1965)
work page 1965
-
[91]
Darriulat, P., Igo, G., Pugh, H. G. & Holmgren, H. D. Elastic scattering of alpha particles by helium between 53 and 120 MeV. Phys. Rev. 137, B315–B325 (1965). URL https://link.aps.org/doi/10.1103/PhysRev.137.B315
-
[92]
Kamada, H. et al. Benchmark test calculation of a four-nucleon bound state. Phys. Rev. C 64, 044001 (2001)
work page 2001
-
[93]
Bacca, S., Barnea, N., Leidemann, W. & Orlandini, G. Isoscalar monopole reso- nance of the alpha particle: A prism to nuclear hamiltonians. Phys. Rev. Lett. 110, 042503 (2013). URL https://link.aps.org/doi/10.1103/PhysRevLett.110.042503. 17
-
[94]
Kegel, S. et al. Measurement of the α-particle monopole transition form factor challenges theory: A low-energy puzzle for nuclear forces? Phys. Rev. Lett. 130, 152502 (2023). URL https://link.aps.org/doi/10.1103/PhysRevLett.130.152502
-
[95]
Michel, N., Nazarewicz, W. & P/suppress loszajczak, M. Description of the proton-decaying 0+ 2 resonance of the αparticle. Phys. Rev. Lett. 131, 242502 (2023). URL https://link.aps.org/doi/10.1103/PhysRevLett.131.242502
-
[96]
Yin, P. et al. α-particle monopole form factors within the ab initio no-core shell model. Phys. Rev. C 112, L031303 (2025). URL https://link.aps.org/doi/10. 1103/1pxs-xjtl
work page 2025
- [97]
discussion (0)
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