English

Slope parameters determined from CREX and PREX2 (published in Results in Physics)

Nuclear Theory 2025-07-01 v2

Abstract

[Background] Very lately, the CREX group presents a skin value ΔRskin48(CREX)=0.121±0.026 (exp)±0.024 (model)=0.0710.171\Delta R_{\rm skin}^{48}({\rm CREX}) =0.121 \pm 0.026\ {\rm (exp)} \pm 0.024\ {\rm (model)}=0.071\sim 0.171~fm. Meanwhile, the PREX group reported a skin value ΔRskin208(PREX2)=0.283±0.071=0.2120.354\Delta R_{\rm skin}^{208}({\rm PREX2}) = 0.283\pm 0.071=0.212 \sim 0.354~fm. In our previous paper, we determined both the LL--ΔRskin48\Delta R_{\rm skin}^{48} relation and the LL--ΔRskin208\Delta R_{\rm skin}^{208} one, using 206 EoSs, where LL is a slope parameter. [Purpose] We determine LL from ΔRskin48(CREX)\Delta R_{\rm skin}^{48}({\rm CREX}) and ΔRskin208(PREX2)\Delta R_{\rm skin}^{208}({\rm PREX2}) , using 207 EoSs. [Results] The ΔRskin48(CREX)\Delta R_{\rm skin}^{48}({\rm CREX}) yields L(CREX)=051L({\rm CREX})=0 \sim 51~MeV and the ΔRskin208(PREX2)\Delta R_{\rm skin}^{208}({\rm PREX2}) does L(PREX2)=76165L({\rm PREX2})=76 \sim 165~MeV. [Conclusion] There is no overlap between L(CREX)L({\rm CREX}) and L(PREX2)L({\rm PREX2}). This is a big problem to be solved.

Keywords

Cite

@article{arxiv.2210.03313,
  title  = {Slope parameters determined from CREX and PREX2 (published in Results in Physics)},
  author = {Shingo Tagami and Tomotsugu Wakasa and Masanobu Yahiro},
  journal= {arXiv preprint arXiv:2210.03313},
  year   = {2025}
}