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From Nuclear Matter with Quenched $g_A$ to Compact-Star Matter with a Signal for Emergent Hidden Scale Symmetry

T0 review · 3 major / 4 minor · reviewed 2026-08-06 · deepseek-v4-flash

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Pith's one-line read The paper claims that two longstanding puzzles—why nuclear beta-decay coupling $g_A$ sits near 1 and why neutron-star cores have sound speed near $\sqrt{1/3}\,c$—are two manifestations of a single emergent hidden scale symmetry.

desk verdict A transparent, falsifiable synthesis of the author's own GnEFT program: the low-density g_A^L≈1 anchor is solid and testable, but the claimed link to the pseudo-conformal sound speed is an assumed parallel, not a derived consequence—though the paper openly concedes as much. read the letter →

arxiv 2507.04939 v4 pith:TVBASILF submitted 2025-07-07 nucl-th astro-ph.SRhep-ph

Mannque Rho This is my paper
classification nucl-thastro-ph.SRhep-ph
keywords axial-vectorcouplingg_Ahiddenscalesymmetrydilatonf0(500)compactstarssoundspeedhadron-quarkcontinuityskyrmioncrystalpseudo-conformalmatter
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

This paper tries to establish that two apparently unrelated facts are the same fact: the effective axial-vector coupling extracted from nuclei has remained stubbornly close to $g_A^{\rm eff}\approx 1$, and the squared sound speed in compact-star cores saturates near $v_s^2/c^2\approx 1/3$. The author argues that both are low-energy shadows of one hidden scale symmetry that emerges from an infrared fixed point of QCD for three or fewer quark flavours. The argument runs through an effective field theory of nucleons on a Fermi surface that keeps hidden local vector mesons ($\rho,\omega$) and a dilaton ($f_0(500)$) as explicit fields, and uses a skyrmion-crystal topology change to cross from hadronic to quarkish matter. If the chain holds, the long-standing 'quenched $g_A$' puzzle and the neutron-star equation of state are governed by a single emergent symmetry rather than by separate fine-tunings.

What carries the argument

The machinery is hidden scale symmetry implemented by a conformal compensator/dilaton field $\hat\chi$ (identified with $f_0(500)$) and hidden local symmetry vector mesons $\rho,\omega$, organized through a renormalization-group description of baryons on the Fermi surface. The chain of reasoning runs from a chiral-scale effective Lagrangian, through the Landau-Fermi-liquid fixed point, to the dilaton-limit fixed point where $g_V\to g_A\to 1$ and $f_\pi\to f_{\hat\chi}\neq 0$; the skyrmion-to-half-skyrmion topology change at $n_{1/2}\approx(2-3)n_0$ provides the hadron-quark continuity that lets the same symmetry operate up to compact-star densities. These ingredients turn the density independence of $\langle\theta^\mu_\mu\rangle$ into the pseudo-conformal sound-speed relation.

What would settle it

Re-measure the superallowed Gamow-Teller strength of $^{100}$Sn with an independent technique: if the extracted $g_A^{\rm eff}$ falls in the RIKEN range $0.74{-}0.88$ rather than near the GSI value $0.96$, the paper's infrared-fixed-point premise and the connection to $v_s^2/c^2\approx 1/3$ are falsified. A complementary check would be a first-principles calculation of $\langle\theta^\mu_\mu\rangle(n)$ at $2{-}7n_0$; a density-dependent trace anomaly would violate Eq. (15).

Watch

Extended reading notes

Core claim

The paper's central claim is that the quasiparticle axial coupling $g_A^L$ is not a renormalized coupling that happens to land near 1; it is driven to $g_A^L\approx 1$ by the same dilaton-limit fixed point that produces the pseudo-conformal sound speed in compact stars. In the Landau-Fermi-liquid fixed-point approximation the formula $g_A^L = g_A(1-\tfrac13 \Phi \tilde F_1^\pi)^{-2}$ has a density dependence in the dilaton condensate $\Phi$ and pion Landau parameter $\tilde F_1^\pi$ that cancels, giving $\approx 1$ from light nuclei to nuclear matter and onward to high density. At the dilaton-limit fixed point the constraints $g_V\to g_A\to 1$ and $f_\pi\to f_{\hat\chi}\neq 0$ hold, the $\rho$ meson decouples from pions, and an emergent parity-doubled mass $m_0$ makes the nucleon mass density-independent. The trace of the energy-momentum tensor then satisfies $\partial\langle\theta^\mu_\mu\rangle/\partial n = (\partial\epsilon/\partial n)(1-3v_s^2/c^2)=0$, and with $\partial\epsilon/\partial n\neq 0$ this yields the pseudo-conformal sound speed $v_{\rm pcs}^2/c^2\approx 1/3$. Thus the paper presents quenched $g_A$ and the star-core sound speed as two parallel consequences of one emergent hidden scale symmetry.

Load-bearing premise

The argument stands on the premise that QCD has an infrared fixed point for three or fewer quark flavours, with the $f_0(500)$ as its dilaton, so that $g_A^{\rm eff}\approx 1$ is a symmetry effect rather than ordinary nuclear many-body physics; if that premise is false, or if the RIKEN value in $^{100}$Sn is the true one, the chain of connections collapses.

Editorial extensions

If this is right

  • The same mechanism that quenches $g_A$ in nuclei should persist across the whole density range from light nuclei to the dilaton-limit fixed point, making $g_A^{\rm eff}\approx 1$ a symmetry prediction rather than a coincidence.
  • The compact-star equation of state should be pseudo-conformal from roughly $2n_0$ to $5{-}7n_0$, with $v_s^2/c^2\approx 1/3$, a maximum mass near $2.05M_\odot$, and radii near 12.8 km for both $1.44M_\odot$ and $2.0M_\odot$ stars.
  • Anomaly-induced quenching of $g_A$ is absent if $\beta'_{\rm IR}=0$; the GSI value $g_A^{\rm eff}\approx 0.96$ is consistent with this, while the RIKEN value $0.74{-}0.88$ would invalidate the IR-fixed-point assumption and break the chain.
  • The density-independent trace anomaly implies that scale symmetry is not restored in compact stars but is hidden: $\langle\theta^\mu_\mu\rangle$ stays non-zero yet flat in density.

Reading between the lines

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

  • Editorial inference: if the symmetry picture is right, deviations of $g_A^{\rm eff}$ from 1 should track density in a computable way across many nuclei, so a campaign of precise Gamow-Teller measurements in medium-mass nuclei would map the approach to the dilaton-limit fixed point.
  • Editorial inference: the density-independent mass $m_0$ behind the flat trace anomaly should leave observable imprints beyond the sound speed, for instance in neutron-star cooling, neutrino emissivity, or tidal deformability, predictions the paper does not work out.
  • Editorial inference: the GSI-versus-RIKEN discrepancy in $^{100}$Sn is not a detail of one nucleus; it is the cheapest decisive experiment for the whole framework, since the two values lead to opposite conclusions about the infrared fixed point.
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Editorial analysis

A structured set of objections, weighed in public.

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

Referee Report

3 major / 4 minor

Summary. The paper develops the proposal that the long-standing puzzle of the effective axial coupling g_A^eff ≈ 1 in nuclei and the approximate sound speed v_s^2/c^2 ≈ 1/3 in compact-star matter are two manifestations of one emergent hidden scale symmetry. The formalism is a generalized nuclear EFT (GnEFT) that combines hidden local symmetry (vector mesons) and hidden scale symmetry (a dilaton identified with f0(500)), anchored on a Landau-Fermi-liquid fixed-point description of baryons on the Fermi surface and on a skyrmion-to-half-skyrmion topology change at a density n1/2. The low-density anchor is Eq. (5), which yields g_L^A ≈ 1 and reproduces the gyromagnetic ratio δg_l; the high-density anchor is Eq. (15), which gives the pseudo-conformal sound speed Eq. (16) when the trace anomaly is density-independent. The paper also discusses the GSI vs. RIKEN discrepancy for the 100Sn Gamow-Teller transition, and lists predictions for neutron-star masses, radii, and tidal deformability as a function of n1/2.

Significance. If the proposed connection holds, it would unify two seemingly unrelated phenomena in nuclear and astrophysics and would provide a concrete signal for an emergent scale symmetry in dense QCD matter. The paper is commendably honest about its fragility: it explicitly states that re-confirmation of the RIKEN quenching would break the entire chain of connections, and it identifies the 1/N̄ corrections as not fully worked out. The low-density relation Eq. (5) is a concrete, testable result anchored in the Landau-Migdal framework, and the paper cites a quantitative estimate of the 1/N̄ correction to g_L^A. The main weakness is that the central link between quenched g_A and the pseudo-conformal sound speed is presented as an analogy rather than derived; in particular, Eq. (15) is an identity whose physical content resides entirely in the premise ∂⟨θ_μ^μ⟩/∂n = 0, a premise that is asserted rather than demonstrated.

major comments (3)
  1. [§Pseudo-Conformal Sound Speed, Eq. (15)-(16)] The derivation of the pseudo-conformal sound speed is not self-contained. Equation (15) is a thermodynamic identity; the conclusion v_s^2/c^2 ≈ 1/3 follows only if ∂⟨θ_μ^μ⟩/∂n = 0, and the paper does not derive this density independence from the underlying GnEFT. The text justifies it by asserting that ⟨χ̂⟩* tends to a density-independent m0 in the half-skyrmion phase, but no calculation of ⟨χ̂⟩* as a function of density is shown. The scale invariance of normalized field configurations in Eq. (1) and Fig. 2 does not imply ∂⟨χ̂⟩*/∂n = 0, because the normalization by the maximum field value can absorb an overall density-dependent rescaling. This is a load-bearing step: without a derivation of ∂⟨χ̂⟩*/∂n = 0, Eq. (16) is an assumption, not a consequence of the IR fixed point.
  2. [§g_A^eff = 1 to Pseudo-Conformality] The central claim that quenched g_A and v_pcs^2/c^2 ≈ 1/3 are two manifestations of one symmetry is asserted as a 'parallel' rather than derived. The paper itself concedes, in the 'Quenching of g_A and Trace Anomaly' section, that 'I cannot give a simple and fully satisfactory answer' to how the g_A connection relates to pseudo-conformality. Equation (5) is a low-density Fermi-liquid result, while g_A → 1 at the dilaton-limit fixed point is a separate high-density constraint; the paper provides no operator relation or calculation showing that the same emergent scale symmetry controls both, nor that the mechanism behind Eq. (5) continues into the half-skyrmion phase. As written, the unity of the two phenomena is an interpretation, not a demonstrated consequence.
  3. [§Hadron-Quark Continuity and §Results] The paper relies on the large-N_c skyrmion-crystal description being valid up to compact-star densities of (5–7)n0, an extrapolation far beyond any direct test, and it treats the density independence of the dilaton VEV in the half-skyrmion phase as established by the skyrmion-crystal machinery. This is a legitimate framework choice, but it makes the pseudo-conformal prediction contingent on a set of non-perturbative assumptions that are not independently verified. A more explicit account of how the half-skyrmion phase yields ∂⟨χ̂⟩*/∂n = 0—beyond the scaling of normalized field shapes—would be needed to make Eq. (16) a quantitative prediction rather than a restatement of the premise.
minor comments (4)
  1. [Abstract and Footnote 4] The p parameter in the Grassmannian model is stated as p = 2 in the abstract and as p = 3 in footnote 4; this inconsistency should be resolved.
  2. [Preamble and Abstract] There are several typographical errors, including 'HQC)' in the abstract, 'obvoius' in the Preamble, and 'supperallowed' in the section on 100Sn; these should be corrected.
  3. [§Results] The statement that 'the only parameter in the calculation is the half-skyrmion phase density n1/2' is hard to reconcile with the earlier introduction of c_A, F_1^π, F_1^ω, m_L, and β'_IR; the paper should clarify which parameters are fixed by low-density data and which remain free in the compact-star calculation.
  4. [Figure 3] The discussion of the left and right panels of Fig. 3 refers to the role of the ρ–π decoupling, but the precise parameterization used for the density dependence of the ρ and ω couplings is not given; a brief statement of the model inputs would help the reader judge the sensitivity of the sound-speed curve.

Circularity Check

3 steps flagged · score 6.0 of 10

Sound-speed 1/3 is the density-independent trace-anomaly premise restated, and high-density g_A→1 is the DLFP constraint restated; the g_A–v_s^2 unification relies on same-author citations and is an interpretation rather than a derived consequence.

  1. self definitional [Section 'Pseudo-Conformal Sound Speed at High Density', Eqs. (14)-(16)]
    "The crucial point in the formalism is that ⟨θμ μ⟩ may not be zero but its derivative with respect to density could be zero because of the density-independent m0 to which ⟨χ̂⟩∗ tends to [29]. Thus ∂/∂n ⟨θμ μ⟩ = ∂ϵ(n)/∂n (1 − 3 v_s^2/c^2) = 0 (15) ... Now taking that there are no Lee-Wick states in the density range involved, i.e., ∂ϵ(n)/∂n ̸= 0, one arrives at the pseudo-conformal sound speed v_pcs^2/c^2 ≈ 1/3. (16)"

    Eq. (15) is the exact thermodynamic identity ∂(ε−3P)/∂n = (∂ε/∂n)(1−3v_s^2), so setting the left side to zero and dividing by nonzero ∂ε/∂n gives Eq. (16) tautologically. The only physical input is the premise ∂⟨θ⟩/∂n = 0, which the paper asserts from the half-skyrmion m0 picture but does not derive here. Thus the 'prediction' v_s^2 ≈ 1/3 is a restatement of the assumed density-independence of the trace anomaly, not an independent consequence of the IR fixed point.

  2. self definitional [Section 'Pseudo-Conformality: Manifestation in Crystal Lattice', bullet 'Dilaton-limit fixed point', Eq. (2)]
    "The elimination of these singular terms gives what is referred to as 'dilaton-limit-fixed-point (DLFP)' constraints gV → gA → 1, fπ → fχ̄ ̸= 0. (2) ... The constraints (2) support two important predictions of the theory: 1. gA → 1 as density approaches n ≈ nDLFP."

    The 'prediction' that g_A → 1 at the DLFP is literally one of the constraints in Eq. (2), imposed by the fixed-point construction ('elimination of these singular terms'), not a consequence derived from QCD or from the Landau calculation. The low-density g_A^L ≈ 1 from Eq. (5) carries independent content, but the high-density end of the claimed chain restates the DLFP assumption as a prediction.

1 more flagged steps
  1. self citation load bearing [Section 'Pseudo-Conformal Sound Speed at High Density', bullet 'Emergent parity doubling and vpcs']
    "As detailed in these articles, in half-skyrmion phase at high density, the interplay between the diltaon χ̂ and the vector meson ω after the charged vector mesons get decoupled forces the VEV of the χ̂ field tend to go to density-independent m0 in the nucleon mass which renders the VEV of the trace of energy-momentum tensor θμ μ independent of density in the range of density relevant to compact stars."

    This sentence supplies the entire physical premise behind Eq. (16), but it is delegated to [32,43] (and [29] just above), prior work by the same author/group. The density-independent ⟨χ̂⟩*, and hence density-independent ⟨θ⟩, is not demonstrated in this paper; the compact-star sound-speed 'prediction' is an imported assumption from the author's own skyrmion/DLFP framework rather than a consequence worked out here.

full rationale

The paper's two headline quantitative outputs reduce partly to their own inputs. Eq. (15) is the exact thermodynamic identity ∂(ε−3P)/∂n = (∂ε/∂n)(1−3v_s^2); setting it to zero and dividing by nonzero ∂ε/∂n yields Eq. (16), so v_s^2 ≈ 1/3 is the assumed density-independence of the trace anomaly rewritten. The paper imports that density-independence from same-author prior work ([29], [32], [43]) rather than deriving it in this manuscript, and the scale invariance of normalized field configurations in Eq. (1) does not by itself imply ∂⟨χ̂⟩*/∂n = 0 because the normalization may absorb an overall density-dependent scale. Similarly, the high-density prediction g_A → 1 is one of the DLFP constraints in Eq. (2), so it is the fixed-point ansatz restated as a prediction. The low-density g_A^L ≈ 1 result from the Landau Fermi-liquid formula (5) does have independent calculational content, and the explicit RIKEN/GSI confrontation gives the scenario a genuine falsifier, which prevents a higher score. Nevertheless, the central claim that quenched g_A and v_s^2 ≈ 1/3 are two manifestations of one emergent hidden scale symmetry is an interpretation built on premises that are, in the key equations, identical to the outputs. Score 6 reflects this partial circularity: some predictions reduce by construction, while the low-density Landau calculation and external QCD IR-fixed-point literature remain independent.

Assumptions & free parameters 4 free parameters · 8 assumptions · 3 invented entities

The framework's predictions rest on a long chain: a QCD IR fixed point with a genuine dilaton (adopted from Crewther and Zwicky), f0(500) as that dilaton, large-N_c skyrmion crystal dynamics up to compact-star densities, β'_IR = 0, a preference for the GSI over the RIKEN 100Sn value, and absence of Lee-Wick states. The only explicit free parameter is n1/2 (2.0-3.5 n0), but c_A, the Landau parameters, and β'_IR also carry load. No new entities are proposed with independent falsifiable handles.

free parameters (4)
  • n1/2, the skyrmion-to-half-skyrmion (HQC) transition density = 2.0-3.5 n0
    The paper's own statement: 'The only parameter in the calculation is the half-skyrmion phase density n1/2 ~ (2.0-3.5)n0.' Not fixed by theory; the upper end is rejected because n1/2 = 4n0 makes the sound speed violate causality and pressure exceed heavy-ion data, so the surviving range is selected by consistency with M_max and radii observations.
  • c_A (coefficient in q_ssb, Eq. (8)) = not given ('incalculable')
    Paper text: 'c_A is an incalculable potentially density-dependent parameter.' Its value controls the anomaly-induced quenching; the paper avoids needing it only by setting β'_IR = 0.
  • Landau(-Migdal) parameters F_1^π, F_1^ω, and m_L = not tabulated here; from ref. [23] and Vlowk RG fits
    Eq. (5) for g_A^L and the δg_l predictions use Fermi-liquid fixed-point quantities determined from nuclear phenomenology near n0, not derived from QCD. The paper treats them as inputs: 'Possible other parameters are fixed on applying the GnEFT model slightly above nuclear matter density.'
  • β'_IR = 0
    Set to zero by assumption (Eq. (3), Eq. (12)) following QCD-CD [14]. The entire no-AIQ conclusion and the g_A^eff ≈ 1 chain depend on this choice; confirmed RIKEN data would force it nonzero.
assumptions (8)
  • domain assumption QCD with N_f ≤ 3 has an infrared fixed point with a genuine (QCD-conformal) dilaton
    Invoked in the HSS section: 'We will follow the most recent development [13-15] that posits an IR fixed point in the QCD sector for N_f ≤ 3.' The entire scale-symmetry machinery (BR scaling, DLFP, pseudo-conformality) presupposes this; the paper concedes a confirmed RIKEN anomaly would invalidate it.
  • domain assumption f0(500) is the dilaton σ̂ of hidden scale symmetry
    Abstract and Section 2: 'the latter the hidden scalar meson, a dilaton σ̂ (i.e., f0(500)).' The identification of the 500 MeV scalar as the QCD dilaton is contested in hadronic physics but is load-bearing for Eq. (8) and the DLFP.
  • domain assumption Nucleons in dense matter are described by the large-N_c skyrmion crystal down to compact-star densities
    Hadron-quark continuity section: 'for large density, the nucleon in the matter can be reliably described in terms of skyrmion crystal structure [7].' The half-skyrmion phase, the cusp in E_sym, and density-scale invariance (Fig. 2) all come from this extrapolation.
  • domain assumption β'_IR = 0, the slope of the QCD beta function at the infrared fixed point vanishes
    Eq. (3): 'Let me first assume, following the argument of [14], that β'_IR = 0.' This removes the anomaly-induced quenching (1 - q_ssb = 0) and keeps g_A^eff ≈ 1 consistent with the shell model.
  • domain assumption The GSI 100Sn measurement (g_A^eff ≈ 0.96) is the correct reference for the quasiparticle axial coupling
    Section 'Quenching of gA and Trace Anomaly': 'I take this as δq_ssb^GSI ≈ 0.' The chain of connections survives only if the RIKEN result (0.74-0.88) is not reconfirmed; the author states this explicitly.
  • domain assumption No Lee-Wick states in the density range of compact stars, so ∂ε(n)/∂n ≠ 0
    Pseudo-conformal sound speed section: 'taking that there are no Lee-Wick states in the density range involved, i.e., ∂ε(n)/∂n ≠ 0,' required to go from Eq. (15) to v_pcs^2/c^2 ≈ 1/3.
  • standard math Landau Fermi-liquid theory and Shankar-Polchinski RG apply to baryons on the Fermi surface
    Section 'GENERALIZED NUCLEAR EFT (GnEFT)': the chiral Lagrangian is 'mapped via the Shankar-Polchinski formalism [22] to a nuclear effective field theory of Landau Fermi-liquid.' Standard technique, though its controlled validity at n ≈ 5-7 n0 is challenged.
  • domain assumption The large-N' Grassmannian model fixes the HLS parameter a = 2
    Footnotes 3 and 4: the value a = 2, 'most remarkably, determined by the gauge structure of the HLS by the large N' limit of the Grassmannian model.' Taken from ref. [12]; underlies ρ decoupling before the DLFP, which shapes Fig. 3.
invented entities (3)
  • 'Quarkish' quasi-quark degrees of freedom at HQC
    purpose: Provides a hadronic-variable description of matter above the HQC density without genuine quarks, allowing the EoS to stay in hadronic language up to compact-star densities.
    Introduced in Section 1: 'I use the terminology quarkish instead of quark.' No directly predicted observable is attached to the entity; it functions as a modeling choice.
  • Half-skyrmions confined by monopoles
    purpose: Generate the cusp in E_sym and the density-scale-invariant (pseudo-conformal) phase above n1/2.
    Adopted from refs. [25, 27]. The claimed observable consequences (cusp, v_s^2 ≈ 1/3) depend on the free parameter n1/2, so the entity is not independently pinned by this paper.
  • Emergent chiral-invariant nucleon mass m0 (parity-doubling partner)
    purpose: Makes the trace-anomaly VEV density-independent, which by Eq. (15) forces v_s^2/c^2 ≈ 1/3.
    Model output of refs. [32, 43], adopted here as the mechanism of pseudo-conformality. No direct measurement is proposed.

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Cite this review

Pith. "Pith review of From Nuclear Matter with Quenched $g_A$ to Compact-Star Matter with a Signal for Emergent Hidden Scale Symmetry." pith.science (2026). https://pith.science/paper/TVBASILF

@misc{pith2026250704939,
  author       = {Pith},
  title        = {Pith review of: From Nuclear Matter with Quenched $g_A$ to Compact-Star Matter with a Signal for Emergent Hidden Scale Symmetry},
  year         = {2026},
  howpublished = {\url{https://pith.science/paper/TVBASILF}},
  note         = {Machine review of arXiv:2507.04939}
}
abstract

An ``unorthodox" idea is developed that the long-standing mystery in nuclear physics of the effective axial-current coupling constant in nuclei, $g_A^{\rm eff}\approx 1$, could be interpreted in terms of an emerging hidden scale symmetry in dense compact-star matter. Arguments are presented using an effective field theory anchored on a renormalization-group approach to interacting baryons on the Fermi surface coupled with hidden symmetric heavy mesonic degrees of freedom that enables one to go beyond Weinberg's nuclear effective field theory involving nucleon and pion fields only, referred hereon to as $\chi$EFT$_\pi$. Both hidden local and scale symmetries, the former involving the vector mesons $\rho$ and $\omega$ and the latter the hidden scalar meson, a dilaton $\hat{\sigma}$ (i.e., $f_0(500)$), play the crucial role. Going beyond the density regime applicable to normal nuclear matter $n_0$, the notion of ``hadron-quark continuity HQC)" is brought in via the skyrmion structure of the nucleon argued to be valid in QCD at large $N_c$ limit and the large $N^\prime$ limit of the Grassmannian model $G/H= [O(N^\prime)/O(N^\prime-p) \times O(p)]$ where $N^\prime=4$ and $p=2$ for hidden local symmetry and the IR fixed point in QCD for $N_f \leq 3$ involving ``genuine/QCD-conformal dilaton" for hidden scale symmetry. The connection between the quenched $g_A$ and the sound speed $v^2_{s}/c^2\approx 1/3$ inside dense compact stars could be interpreted as a signal for emergent ``pseudo-conformal" symmetry.

Figures

Figures reproduced from arXiv: 2507.04939 by the authors.

Figure 1
Figure 1. FIG. 1. Left Panel: Schematic illustration of the cusp in the [PITH_FULL_IMAGE:figures/full_fig_p004_1.png] view at source ↗
Figure 2
Figure 2. FIG. 2. The field configurations [PITH_FULL_IMAGE:figures/full_fig_p005_2.png] view at source ↗
Figure 3
Figure 3. FIG. 3. Sound speed vs. density for [PITH_FULL_IMAGE:figures/full_fig_p009_3.png] view at source ↗

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Cited by 1 Pith paper

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Half-life of $^{136}$Xe for neutrinoless double-$\beta$ decay calculated with effective axial-vector current coupling unified for two-neurtino and neutrinoless double-$\beta$ decay modes

    nucl-th 2025-06 conditional novelty 5.0 of 10

    For 136Xe, the predicted 0νββ half-life is (1.3-3.0)×10^31 y at ⟨mν⟩=1 meV, roughly ten times longer than the standard compilation, based on unifying the effective axial coupling of the 2ν and 0ν modes.

Reference graph

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