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arxiv: 2509.06812 · v2 · submitted 2025-09-08 · ⚛️ nucl-th · astro-ph.HE· nucl-ex

Ab initio calculations of beta-decay half-lives for N=50 neutron-rich nuclei

Zhen Li , Takayuki Miyagi , Achim Schwenk This is my paper

Pith reviewed 2026-05-18 18:05 UTC · model grok-4.3

classification ⚛️ nucl-th astro-ph.HEnucl-ex
keywords beta-decay half-livesab initio calculationschiral effective field theoryN=50 nucleitwo-body currentsr-process nucleosynthesisGamow-Teller transitionsIMSRG
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0 comments X

The pith

Ab initio calculations show that including two-body currents increases beta-decay half-lives for N=50 neutron-rich nuclei and brings predictions into agreement with experimental data.

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

The paper computes beta-decay half-lives for extremely neutron-rich nuclei with 50 neutrons using first-principles methods based on chiral effective field theory. These rates matter because they control the flow of material in the r-process that builds heavy elements in explosive astrophysical sites. The authors apply the in-medium similarity renormalization group to derive effective Hamiltonians and weak operators consistently from the same starting forces and currents. They calculate Gamow-Teller strengths and also examine first-forbidden contributions, all without adding fitted parameters. The central result is that two-body currents lengthen the half-lives and produce values that match existing measurements.

Core claim

Starting from nuclear forces and currents based on chiral effective field theory, we use the in-medium similarity renormalization group to consistently derive valence-space Hamiltonians and weak operators, from which we calculate the nuclear states involved and the Gamow-Teller transition strengths, without phenomenological adjustments. In addition, we explore effects of first-forbidden contributions. Our results show that the inclusion of two-body currents increases the total half-lives, which then show good agreement with the existing experimental data, thereby validating the predictive capability of our approach.

What carries the argument

In-medium similarity renormalization group (IMSRG) used to derive consistent valence-space Hamiltonians and weak operators, including two-body currents, from chiral effective field theory.

If this is right

  • The half-lives supply improved inputs for r-process nucleosynthesis models in regions lacking experimental data.
  • First-forbidden contributions can be included systematically within the same ab initio framework for other neutron-rich nuclei.
  • The method supports reliable predictions for total decay rates once two-body currents are retained.
  • The consistent derivation of operators and Hamiltonians can be extended to additional isotopic chains near shell closures.

Where Pith is reading between the lines

These are editorial extensions of the paper, not claims the author makes directly.

  • The same framework could be used to compute beta-delayed neutron emission probabilities that also affect r-process yields.
  • Testing the approach on nuclei with neutron numbers farther from 50 would check how well the currents remain predictive closer to the drip line.
  • Agreement with data for Gamow-Teller decays suggests the method may apply to other weak observables such as neutrino-nucleus scattering in similar mass regions.

Load-bearing premise

The chiral effective field theory forces and currents together with the IMSRG truncation are accurate enough for these extreme neutron-rich N=50 nuclei without any phenomenological adjustments to the weak operators or states.

What would settle it

New experimental beta-decay half-life measurements for additional N=50 neutron-rich nuclei that differ substantially from the values obtained when two-body currents are included.

Figures

Figures reproduced from arXiv: 2509.06812 by Achim Schwenk, Takayuki Miyagi, Zhen Li.

Figure 1
Figure 1. Figure 1: FIG. 1. Total beta-decay half-life (top), low-lying excite [PITH_FULL_IMAGE:figures/full_fig_p002_1.png] view at source ↗
Figure 2
Figure 2. Figure 2: FIG. 2. Ground-state energies of neutron-rich [PITH_FULL_IMAGE:figures/full_fig_p003_2.png] view at source ↗
Figure 3
Figure 3. Figure 3: FIG. 3. Total beta-decay half-lives of [PITH_FULL_IMAGE:figures/full_fig_p003_3.png] view at source ↗
Figure 4
Figure 4. Figure 4: FIG. 4. Left panel: Distribution of GT transition strength [PITH_FULL_IMAGE:figures/full_fig_p004_4.png] view at source ↗
Figure 5
Figure 5. Figure 5: FIG. 5. Total beta-decay half-lives of [PITH_FULL_IMAGE:figures/full_fig_p004_5.png] view at source ↗
read the original abstract

Beta-decay rates of extreme neutron-rich nuclei remain largely unknown experimentally, while they are critical inputs for $r$-process nucleosynthesis. We present first ab initio calculations of total beta-decay half-lives, with a focus on $N=50$ nuclei. Starting from nuclear forces and currents based on chiral effective field theory, we use the in-medium similarity renormalization group to consistently derive valence-space Hamiltonians and weak operators, from which we calculate the nuclear states involved and the Gamow-Teller transition strengths, without phenomenological adjustments. In addition, we explore effects of first-forbidden contributions. Our results show that the inclusion of two-body currents increases the total half-lives, which then show good agreement with the existing experimental data, thereby validating the predictive capability of our approach.

Editorial analysis

A structured set of objections, weighed in public.

Desk editor's note, referee report, simulated authors' rebuttal, and a circularity audit. Tearing a paper down is the easy half of reading it; the pith above is the substance, this is the friction.

Referee Report

2 major / 1 minor

Summary. The paper presents the first ab initio calculations of total beta-decay half-lives for N=50 neutron-rich nuclei. Starting from chiral EFT nuclear forces and currents, the IMSRG is used to derive consistent valence-space Hamiltonians and weak operators (including two-body currents) without phenomenological adjustments; Gamow-Teller strengths are computed and first-forbidden contributions are explored. The central result is that two-body currents increase the half-lives, producing good agreement with existing experimental data and thereby validating the predictive power of the approach for r-process relevant nuclei.

Significance. If the convergence and error control are adequate, the work supplies much-needed ab initio predictions for beta-decay rates in the N=50 region where data are sparse, directly impacting r-process nucleosynthesis modeling. The consistent derivation of both Hamiltonian and weak operators from the same chiral EFT framework, together with the explicit inclusion of two-body currents, constitutes a clear methodological advance over phenomenological shell-model treatments.

major comments (2)
  1. [Computational details / Results] The manuscript reports results at a fixed chiral order and IMSRG(2) level but does not present IMSRG(3) calculations, enlarged valence spaces, or explicit convergence tests with respect to the many-body truncation for the N=50 systems. Because the Gamow-Teller matrix elements (and therefore the half-lives that are claimed to agree with data after two-body currents are added) are directly sensitive to missing higher-body induced terms, this omission is load-bearing for the central claim of predictive accuracy.
  2. [Results and Discussion] Quantitative measures of agreement with experiment (e.g., mean deviation, rms error, or per-nucleus comparison tables) and error estimates arising from the chiral truncation and IMSRG approximation are not provided. Without these, the statement that the half-lives “show good agreement with the existing experimental data” cannot be rigorously assessed.
minor comments (1)
  1. [Abstract] The abstract states that first-forbidden contributions are explored but does not indicate how they are quantified or whether they are included in the final half-life values shown to agree with data.

Simulated Author's Rebuttal

2 responses · 1 unresolved

We thank the referee for the careful and constructive review. The positive evaluation of the work's significance for r-process modeling is appreciated. We address each major comment below and indicate the changes made to strengthen the manuscript.

read point-by-point responses

  1. Referee: [Computational details / Results] The manuscript reports results at a fixed chiral order and IMSRG(2) level but does not present IMSRG(3) calculations, enlarged valence spaces, or explicit convergence tests with respect to the many-body truncation for the N=50 systems. Because the Gamow-Teller matrix elements (and therefore the half-lives that are claimed to agree with data after two-body currents are added) are directly sensitive to missing higher-body induced terms, this omission is load-bearing for the central claim of predictive accuracy.

    Authors: We agree that systematic convergence studies would further bolster the error analysis. However, IMSRG(3) calculations for N=50 nuclei remain computationally prohibitive at present given the scaling of the method. We have added a dedicated paragraph discussing the expected magnitude of IMSRG(2) truncation errors, drawing on benchmark comparisons between IMSRG(2) and IMSRG(3) in lighter systems from the literature. We have also performed and reported calculations in an alternative, enlarged valence space for selected nuclei to quantify model-space sensitivity. These additions provide a more complete picture of theoretical uncertainties without altering the central results. revision: partial

  2. Referee: [Results and Discussion] Quantitative measures of agreement with experiment (e.g., mean deviation, rms error, or per-nucleus comparison tables) and error estimates arising from the chiral truncation and IMSRG approximation are not provided. Without these, the statement that the half-lives “show good agreement with the existing experimental data” cannot be rigorously assessed.

    Authors: We accept this criticism and have revised the manuscript to include quantitative metrics. A new table now lists calculated versus experimental half-lives for all nuclei with available data. We report the mean absolute deviation and root-mean-square deviation in the text. Error estimates from the chiral truncation are provided by comparing results at successive orders in the EFT expansion, while IMSRG-related uncertainties are estimated from the benchmarks discussed in response to the first comment. These changes allow a more rigorous evaluation of the agreement with data. revision: yes

standing simulated objections not resolved
  • Full IMSRG(3) calculations for the complete set of N=50 nuclei, which exceed current computational resources.

Circularity Check

0 steps flagged

No circularity: ab initio derivation from chiral EFT and IMSRG remains independent of target half-lives

full rationale

The paper's derivation starts from established chiral EFT nuclear forces and currents, applies the standard IMSRG method to derive effective valence-space Hamiltonians and weak operators (including two-body currents), computes nuclear states and Gamow-Teller strengths, and includes first-forbidden contributions. The abstract explicitly states calculations are performed 'without phenomenological adjustments' and presents agreement with experimental data as validation of predictive capability rather than a fitted outcome. No steps reduce by construction to the target half-lives, no parameters are fitted to the N=50 data, and no load-bearing self-citations or uniqueness theorems are invoked to force the result. The central claim is externally falsifiable against measured half-lives and does not rely on self-referential definitions or renamed empirical patterns.

Axiom & Free-Parameter Ledger

0 free parameters · 3 axioms · 0 invented entities

The paper relies on established nuclear-theory methods rather than introducing new free parameters or entities. No phenomenological adjustments are mentioned, so the ledger contains only standard domain assumptions.

axioms (3)
  • domain assumption Nuclear forces and currents from chiral effective field theory are sufficiently accurate for N=50 neutron-rich nuclei
    Explicit starting point stated in the abstract for the ab initio calculation
  • domain assumption The in-medium similarity renormalization group consistently derives valence-space Hamiltonians and weak operators
    Central technical step used to obtain states and Gamow-Teller strengths
  • domain assumption First-forbidden contributions can be incorporated within the same framework
    Mentioned as an additional exploration in the abstract

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Forward citations

Cited by 2 Pith papers

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

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  2. Computational schemes for the Magnus expansion of the in-medium similarity renormalization group

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Reference graph

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