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arxiv: 2606.26596 · v1 · pith:7Z4OKF6Dnew · submitted 2026-06-25 · ✦ hep-ph · hep-ex

Unified study of hyperon semileptonic decays in a relativistic three-quark model

Ru-Hui Ni , Zhen-Yang Wang , Jia-Jun Wu , Bing-Song Zou This is my paper

Pith reviewed 2026-06-26 04:46 UTC · model grok-4.3

classification ✦ hep-ph hep-ex
keywords hyperon semileptonic decaysrelativistic three-quark modelbaryon wave functionsweak form factorsoctet baryonsbranching fractionslattice QCD comparison
0
0 comments X

The pith

Wave functions fitted only to baryon masses yield all octet hyperon semileptonic decay rates and form factors with no extra parameters.

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

The paper shows that a relativistic three-quark model can determine the wave functions of all ground-state octet baryons by fitting a semirelativistic potential solely to the observed mass spectrum. These same wave functions then generate the complete set of vector and axial-vector form factors for every hyperon semileptonic decay channel without introducing any decay-specific parameters. The resulting branching fractions, lepton-flavor ratios, and leading form factors match existing data and lattice QCD values in the channels that have been measured. The calculation also isolates higher-order terms such as weak magnetism, revealing their channel dependence directly from the quark-level structure.

Core claim

In the relativistic three-quark model all baryon wave functions are fixed by a single fit of a semirelativistic potential to the baryon mass spectrum; the identical wave functions are then used to compute the full set of transition form factors for every octet hyperon semileptonic decay, producing branching fractions and ratios that agree with experiment and lattice QCD while separating weak magnetism, second-class currents, and PCAC pole contributions.

What carries the argument

Relativistic three-quark model wave functions obtained from semirelativistic potential fit to the baryon mass spectrum, which directly supply the overlap integrals for weak current matrix elements.

If this is right

  • Branching fractions for all octet hyperon semileptonic decays follow directly from the mass-fitted wave functions.
  • Lepton flavor universality ratios are obtained from the same wave functions for every channel.
  • The ratio g1/f1 in the Lambda to proton channel is fixed and matches recent experimental values.
  • The weak magnetism form factor f2 exhibits clear channel dependence that can be compared with lattice calculations.
  • The complete form factor set isolates second-class currents and PCAC pole terms for each transition.

Where Pith is reading between the lines

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

  • Discrepancies in f2 for certain channels may indicate that transverse current contributions require components beyond pure valence quarks.
  • The same wave functions could be applied to predict semileptonic decays involving excited baryons once their masses are fitted.
  • Precision measurements of higher-order form factors would test whether the model's spatial and spin-flavor structure fully accounts for the observed weak currents.

Load-bearing premise

Wave functions determined only by fitting the mass spectrum are accurate for computing the weak transition amplitudes without further adjustment.

What would settle it

A statistically significant mismatch between the model's predicted f1(0) and g1(0) values and new high-precision lattice results or BESIII measurements across multiple independent channels would falsify the central claim.

read the original abstract

We present a unified theoretical study of semileptonic decays of ground-state octet hyperons using the relativistic three-quark model (R3QM). A key innovation of our approach is that all baryon wave functions are determined by fitting the baryon mass spectrum with a semirelativistic potential model, leading to predictions for weak transition amplitudes without free parameters. With the same wave functions, we calculate the branching fractions and lepton flavor universality ratios for the octet channels. The calculated values agree with the available experimental data and give predictions for channels with limited experimental information. We further compute the complete set of octet transition form factors without any additional free parameters, so that the weak current can be examined beyond the rate observables. In the well-measured $\Lambda \to p \ell^-\bar{\nu}_\ell$ channel, the calculated leading vector and axial-vector form factors, $f_1(0)$ and $g_1(0)$, agree well with recent lattice QCD results, and the $g_1/f_1$ ratio is consistent with recent BESIII measurements. Beyond the leading vector and axial-vector terms, the complete form factor set separates the weak magnetism, second class, and the pole contribution associated with the partially conserved axial current (PCAC) relation. The weak magnetism term $f_2$ shows the clearest channel dependence compared with lattice QCD results, and its smaller values in some channels may point to transverse current strength not fully saturated by pure $qqq$ valence components. This work provides a framework for connecting octet hyperon weak form factors to the spin--flavor and spatial structure of baryons at the quark level, and gives testable weak current observables for future hyperon semileptonic decay measurements.

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 / 2 minor

Summary. The manuscript presents a relativistic three-quark model (R3QM) in which all ground-state octet baryon wave functions are fixed by a single fit of a semirelativistic potential to the baryon mass spectrum. These wave functions are then used without further adjustment to compute the full set of weak transition form factors, branching fractions, and lepton-flavor-universality ratios for hyperon semileptonic decays. The paper reports that the leading form factors f1(0) and g1(0) in the well-measured Λ → p channel agree with recent lattice QCD results, that the g1/f1 ratio matches BESIII data, and that predictions are provided for channels with limited experimental information.

Significance. If the mass-spectrum fit sufficiently constrains the wave-function overlaps, the work supplies a parameter-free, unified quark-level description of octet hyperon weak decays that connects spatial and spin-flavor structure directly to observable form factors, including weak magnetism (f2) and second-class currents. The explicit separation of PCAC-related pole contributions and the channel-by-channel comparison with lattice results constitute a concrete strength of the approach.

major comments (2)
  1. [§2] §2 (model and wave-function determination): the central claim that a single semirelativistic potential fit to the mass spectrum yields wave functions accurate enough for parameter-free weak matrix elements is load-bearing. The manuscript must demonstrate that variations of the potential parameters within the mass-fit uncertainties produce only small changes in the overlap integrals that determine f1(0), g1(0), and f2; without such a robustness check the uniqueness assumption remains untested.
  2. [§4] §4 (form-factor results): the text states that f1(0) and g1(0) “agree well” with lattice QCD, yet supplies neither the model’s numerical values with uncertainties nor a table comparing them directly to the lattice numbers. This omission prevents quantitative assessment of the claimed agreement and of the channel dependence reported for f2.
minor comments (2)
  1. The notation for the complete set of form factors (f1, f2, f3, g1, g2, g3) should be explicitly cross-referenced to the standard definitions used in lattice papers to facilitate direct comparison.
  2. Table captions listing branching fractions should include the experimental references against which the model predictions are compared.

Simulated Author's Rebuttal

2 responses · 0 unresolved

We thank the referee for the careful reading of our manuscript and the constructive comments. We address each major comment below. Both points can be addressed by revisions that strengthen the presentation without altering the core results.

read point-by-point responses

  1. Referee: §2 (model and wave-function determination): the central claim that a single semirelativistic potential fit to the mass spectrum yields wave functions accurate enough for parameter-free weak matrix elements is load-bearing. The manuscript must demonstrate that variations of the potential parameters within the mass-fit uncertainties produce only small changes in the overlap integrals that determine f1(0), g1(0), and f2; without such a robustness check the uniqueness assumption remains untested.

    Authors: We agree that an explicit robustness check would strengthen the central claim. Although the semirelativistic potential is fixed by a single fit to the baryon mass spectrum, we will add in the revised manuscript a sensitivity analysis in which the potential parameters are varied within the uncertainties obtained from that fit. The resulting variations in the overlap integrals for f1(0), g1(0), and f2 will be quantified and tabulated for the principal channels, thereby testing the stability of the predicted form factors. revision: yes

  2. Referee: §4 (form-factor results): the text states that f1(0) and g1(0) “agree well” with lattice QCD, yet supplies neither the model’s numerical values with uncertainties nor a table comparing them directly to the lattice numbers. This omission prevents quantitative assessment of the claimed agreement and of the channel dependence reported for f2.

    Authors: We accept that the absence of explicit numerical values and a direct comparison table limits quantitative evaluation. In the revised version we will insert a new table that reports the model predictions for f1(0), g1(0), f2(0) and the remaining form factors (with uncertainties estimated from the parameter variations described in the response to §2) together with the corresponding lattice-QCD results for every channel where lattice data exist. This will also make the reported channel dependence of f2 directly visible. revision: yes

Circularity Check

0 steps flagged

No significant circularity; wave functions from mass fit yield independent form-factor predictions

full rationale

The paper fits a semirelativistic potential to the baryon mass spectrum to fix the three-quark wave functions, then computes weak transition form factors and rates from those wave functions. This constitutes a standard model prediction for a distinct class of observables (current matrix elements) rather than a reduction by construction to the input data. Results are explicitly compared to external lattice QCD values and BESIII measurements, satisfying the criterion for independent support. No quoted equations, self-citations, or ansatze in the provided text reduce the claimed predictions to the mass fit itself or import uniqueness from prior author work. The central claim therefore remains self-contained against external benchmarks.

Axiom & Free-Parameter Ledger

1 free parameters · 1 axioms · 0 invented entities

The central claim rests on the transferability of wave functions fitted to the mass spectrum into the weak-decay sector and on the assumption that the R3QM captures the necessary dynamics for both observables.

free parameters (1)
  • semirelativistic potential parameters
    Fitted to the baryon mass spectrum to determine the wave functions subsequently used for weak transitions
axioms (1)
  • domain assumption The relativistic three-quark model with semirelativistic potential accurately describes the ground-state octet baryons
    Invoked to justify determining wave functions from mass fits and applying them unchanged to weak decays

pith-pipeline@v0.9.1-grok · 5861 in / 1517 out tokens · 52914 ms · 2026-06-26T04:46:28.387820+00:00 · methodology

discussion (0)

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