2020/03/13 by Shingo Tagami, Tagami, Shingo, Nobutoshi Yasutake +7 · 1 citation
Earth and Planetary Sciences · Physics and Astronomy · #FOS: Physical sciences #Geophysics and Gravity Measurements #Nuclear Theory (nucl-th) #Nuclear physics research studies #Scientific Research and Discoveries #nucl-th
paper · pdf · doi:10.48550/arxiv.2003.06168
openalex publication_date 2020/03/13 · arxiv created 2022/01/21 · arxiv updated 2022/01/24 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Taking r\rm skin208(\rm PREX)=0.33+0.16-0.18~\rm fm as an experimental constraint and M\rm max\rm NS ≥ 2\rm M\rm sun as an observational (astrophysical) constraint, we determine an indisputable range for J, L, K\rm sym defined in Eq.~\eqrefeq-S-sym. For this purpose, we take a statistical approach. We first accumulate the 206 EoS data from theoretical works and take correlation between r\rm skin208 and L for the 206 EoSs, where 7 Gogny EoSs are obtained by our calculations. Since the correlation coefficient is R = 0.99, we can regard L as a function of r\rm skin208, so that we succeed in deducing an empirical constraint L=31-161~MeV from r\rm skin208(\rm PREX)=0.15-0.49~fm. For the 47 EoSs satisfying the observational constraint, 46 EoSs satisfy the empirical constraint. The 46 EoSs yield J=29-44~MeV, L= 37-135~MeV, K\rm sym=(-137)-(160)~MeV. The is a primary result. When we take correlation between r\rm skin48 and r\rm skin208 for the 206 EoSs, R is 0.99. The r\rm skin48--r\rm skin208 relation allows us to transform r\rm skin208(\rm PREX) into the corresponding data on r\rm skin48 In order to estimate a value of r\rm skin48 for ongoing CREX, we take the weighted mean and its error of two present data on r\rm skin48 and transformed PREX value on r\rm skin48. The weighted mean is r\rm skin48=0.17~fm. This is a prediction for the central value of CREX.