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Bayesian Inference of the Landau Parameter G'0 from Joint Gamow-Teller Measurements

2025/05/28 by Zidu Lin, G. Colò, Lin, Zidu +5 · 1 citation
Physics and Astronomy · #FOS: Physical sciences #High Energy Astrophysical Phenomena (astro-ph.HE) #Neutrino Physics Research #Nuclear Theory (nucl-th) #Nuclear physics research studies #Quantum Chromodynamics and Particle Interactions

paper · pdf · doi:10.48550/arxiv.2506.05564

openalex publication_date 2025/05/28 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The Landau-Migdal parameter G'0 characterizes the main part of the spin-isospin dependent nucleon-nucleon interaction. Consequently, the G'0 is closely related to the Gamow-Teller resonance (GTR), the beta and double-beta decay rates of finite nuclei, the response of hot and dense nucleonic matter that modifies the neutrino-nucleon absorption rates in core-collapse supernovae (CCSNe) and binary neutron star (BNS) mergers, and finally the critical density for pion condensation in neutron stars. In this letter, for the first time, we report the G'0 with quantified uncertainty in the framework of Bayesian inference, using a self-consistent standard Skyrme Random Phase Approximation (RPA) model and joint constraints from experimental GTR measurements on 208Pb, 132Sn, 90Zr. Our extracted G0' is 0.48±0.034, which is close to the prediction of a few existing Skyrme models that consider spin-isospin observables but smaller than the traditional ones extracted from pion-exchange models. We hint to possible reasons for this deviation, like the value of the nucleon effective mass (m^*)/(m). The G0' values extracted in this work may guide the construction of new energy density functionals that aims to self-consistently describe the dense matter properties in the spin-isospin channel.

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