Constraining neutron-proton effective mass splitting through nuclear giant dipole resonance within transport approach

2025/07/29 by Song, Yi-Dan, Luo, Min-Si, Wang, Rui +2
#FOS: Physical sciences #Nuclear Experiment (nucl-ex) #Nuclear Theory (nucl-th)

paper · doi:10.48550/arxiv.2507.21880

Abstract

Based on the Boltzmann-Uehling-Uhlenbeck equation, we investigate the effects of the isovector nucleon effective mass m^*_v,0 and the in-medium nucleon-nucleon cross section σ^* on the isovector giant dipole resonance~(IVGDR) in ²⁰⁸\rm Pb, employing a set of representative Skyrme energy density functionals. We find that the energy-weighted sum rule m₁ of the IVGDR is highly sensitive to m^*_v,0 and only mildly dependent on σ^*, while the width Γ of the IVGDR is primarily governed by σ^* with a moderate sensitivity to m^*_v,0. From a Bayesian analysis of both m₁ and Γ, we infer the isovector effective mass m^*_v,0/m = 0.731^+0.027_-0.023, where m is the bare nucleon mass. Furthermore, by incorporating the isoscalar effective mass m^*_s,0/m = 0.820 ± 0.030, extracted from the isoscalar giant quadrupole resonance in ²⁰⁸\rm Pb, the linear neutron-proton effective mass splitting coefficient at saturation density ρ₀ is determined to be Δm^*₁ (ρ₀)/m = 0.200 ^+0.101_-0.094.

Citations

• Investigation of the neutron-proton effective mass splitting via heavy ion collisions: Constraints and Implications
• Extended Skyrme effective interactions with higher-order momentum-dependence for transport models and neutron stars
• High density symmetry energy: A key to the solution of the hyperon puzzle
• Extended Skyrme effective interactions for transport model and neutron stars
• An extended Skyrme momentum dependent potential in asymmetric nuclear matter and transport models
• Kinetic approach of light-nuclei production in intermediate-energy heavy-ion collisions
• Probing the nucleon effective mass splitting with the light particle emission
• A Skyrme parametrization from subnuclear to neutron star densities

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• Fine structure of the isoscalar giant monopole resonance in ⁵⁸Ni, ⁹⁰Zr, ¹²⁰Sn and ²⁰⁸Pb