1. Bayesian inference on isospin splitting of nucleon effective mass from giant resonances in 208Pb *
- Author
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Zhen Zhang, Lie-Wen Chen, and Xue-Bin Feng
- Subjects
Physics ,Nuclear and High Energy Physics ,Particle physics ,Nuclear Theory ,Isovector ,010308 nuclear & particles physics ,Isoscalar ,FOS: Physical sciences ,Resonance ,Astronomy and Astrophysics ,01 natural sciences ,Effective mass (spring–mass system) ,Nuclear Theory (nucl-th) ,Isospin ,0103 physical sciences ,Saturation (graph theory) ,High Energy Physics::Experiment ,Astrophysics::Earth and Planetary Astrophysics ,010306 general physics ,Nucleon ,Instrumentation ,Astrophysics::Galaxy Astrophysics ,Energy (signal processing) - Abstract
From a Bayesian analysis of the electric dipole polarizability, the constrained energy of isovector giant dipole resonance, the peak energy of isocalar giant quadrupole resonance and the constrained energy of isocalar giant monopole resonance in $^{208}$Pb, we extract the isoscalar and isovector effective masses in nuclear matter at saturation density $\rho_0$ as $m_{s,0}^{\ast}/m=0.87_{-0.04}^{+0.04}$ and $m_{v,0}^{\ast}/m = 0.78_{-0.05}^{+0.06}$ at $90\%$ confidence level. The obtained constraints on $m_{s,0}^{\ast}$ and $m_{v,0}^{\ast}$ lead to a positive isospin splitting of nucleon effective mass in asymmetric nuclear matter of isospin asymmetry $\delta$ at $\rho_0$ as $m_{n-p}^* / m=(0.20^{+0.15}_{-0.14})\delta$. In addition, the symmetry energy at the subsaturation density $\rho^{\ast}=0.05~\mathrm{fm}^{-3}$ is determined to be $E_{\mathrm{sym}}(\rho^{\ast})=16.7\pm1.3$ MeV at $90\%$ confidence level., Comment: 9 pages, 3 figures, 3 tables, accepted for publication in Chinese Physics C
- Published
- 2021
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