Role of nucleon effective mass and symmetry energy on the neutrino mean free path in neutron star [CL]

http://arxiv.org/abs/2204.02061


The Korea-IBS-Daegu-SKKU energy density functional (KIDS-EDF) models, derived from the universal Skyrme functional, have been successfully and widely applied in describing the properties of finite nuclei and infinite nuclear matter. In the present work, we extend the applications of the KIDS-EDF models to investigate the implications of the nucleon effective mass and nuclear symmetry energy obtained from the KIDS-EDF models on the properties of neutron star (NS) and neutrino interaction with the NS constituents matter in the linear response approximation (LRA). We then analyze the total differential cross-section of neutrino, neutrino mean free path (NMFP), and the NS mass-radius (M-R) relations. We find that the NS M-R relations predictions for all KIDS-EDF models are in excellent agreement with the recent observations as well as the NICER result. Remarkable prediction results on the NMFPs are given by the KIDS0-m77 and KIDS0-m99 models with $M_n^* /M \lesssim 1$ which are quite higher in comparison with those obtained for the KIDS0, KIDS-A, and KIDS-B models with $M_n^/M \gtrsim 1$. For the KIDS0, KIDS-A, and KIDS-B models, we obtain the $\lambda \lesssim R_{\textrm{NS}}$, indicating that these models support the slow NS cooling and neutrino trapping in NS. On the contrary, both KIDS0-m77 and KIDS0-m*99 models support faster NS cooling and a small possibility of neutrino trapping within NS, predicting $\lambda \gtrsim R_{\textrm{NS}}$. More interestingly the NMFP decreases as the density and neutrino energy increase, which is consistent with those obtained in the Brussels-Montreal Skyrme (BSk17 and BSk18) models at saturation density.

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P. Hutauruk, H. Gil, S. Nam, et. al.
Wed, 6 Apr 22
6/68

Comments: 24 pages, 2 tables, 22 figures