High-order isospin-dependent surface tension contribution to the fourth-order symmetry energy of finite nuclei
| Title: | High-order isospin-dependent surface tension contribution to the fourth-order symmetry energy of finite nuclei |
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| Authors: | Cai, Bao-Jun, Wang, Rui, Zhang, Zhen, Chen, Lie-Wen |
| Source: | Phys. Rev. C 106, 044319 (2022) |
| Publication Year: | 2022 |
| Collection: | Astrophysics Nuclear Experiment Nuclear Theory |
| Subject Terms: | Nuclear Theory, Astrophysics - High Energy Astrophysical Phenomena, Nuclear Experiment |
| More Details: | The relation between the fourth-order symmetry energy $E_{\rm{sym,4}}(\rho_0)$ of nuclear matter at saturation density $\rho_0$ and its counterpart $a_{\rm{sym,4}}(A)$ of finite nuclei in a semiempirical nuclear mass formula is revisited by considering the high-order isospin-dependent surface tension contribution to the latter. We derive the full expression of $a_{\rm{sym,4}}(A)$, which includes explicitly the high-order isospin-dependent surface tension effects, and find that the value of $E_{\rm{sym,4}}(\rho_0)$ cannot be extracted from the measured $a_{\rm{sym,4}}(A)$ before the high-order surface tension is well constrained. Our results imply that a large $a_{\rm{sym,4}}(A)$ value of several MeVs obtained from analyzing nuclear masses can nicely agree with the empirical constraint of $E_{\rm{sym,4}}(\rho_0)\lesssim 2$ MeV from mean-field models and does not necessarily lead to a large $E_{\rm{sym,4}}(\rho_0)$ value of $\approx 20$ MeV obtained previously without considering the high-order surface tension. Furthermore, we also give the expression for the sixth-order symmetry energy $a_{\rm{sym,6}}(A)$ of finite nuclei, which involves more nuclear matter bulk parameters and the higher-order isospin-dependent surface tension. Comment: 7 pages, 2 figures. Minor corrections. Published version in PRC |
| Document Type: | Working Paper |
| DOI: | 10.1103/PhysRevC.106.044319 |
| Access URL: | http://arxiv.org/abs/2208.10438 |
| Accession Number: | edsarx.2208.10438 |
| Database: | arXiv |
| DOI: | 10.1103/PhysRevC.106.044319 |
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