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arXiv 1104.5407nucl-thastro-ph.SRnucl-ex
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核呼吸模能量与非对称核物质性质的相关性

Correlations between the nuclear breathing mode energy and properties of asymmetric nuclear matter

Lie-Wen Chen, Jian-Zhong Gu

摘要:

基于微观Hartree-Fock +无规相位近似计算和Skyrme相互作用,利用最近发展起来的分析方法,研究了核呼吸模能量$E_{ISGMR}$与非对称核物质性质之间的关联.结果表明,除了对对称核物质的不可压缩性$K_{0}$有很强的依赖性外,$^{208}$ Pb的$E_{ISGMR}$与对称能的密度斜率$L$和等截面核子有效质量$m_{s,0}^{\ast}$有中等程度的相关性.利用现有的$L=60\pm 30$ MeV和$m_{s,0}^{\ast}=(0.8\pm 0.1)m$的经验值,我们得到了从$^{208}$ Pb的$E_{ISGMR}$中萃取$K_{0}$的理论不确定度约为$\pm 16$ MeV。此外,我们发现$^{100}$ Sn和$^{132}$ Sn之间的$E_{ISGMR}$差异与$L$强烈相关,从而提供了一个潜在的有用的探针的对称性能量。

英文摘要:

Based on microscopic Hartree-Fock + random phase approximation calculations with Skyrme interactions, we study the correlations between the nuclear breathing mode energy $E_{ISGMR}$ and properties of asymmetric nuclear matter with a recently developed analysis method. Our results indicate that the $E_{ISGMR}$ of $^{208}$Pb exhibits moderate correlations with the density slope $L$ of the symmetry energy and the isoscalar nucleon effective mass $m_{s,0}^{\ast}$ besides a strong dependence on the incompressibility $K_{0}$ of symmetric nuclear matter. Using the present empirical values of $L=60\pm 30$ MeV and $m_{s,0}^{\ast}=(0.8\pm 0.1)m$, we obtain a theoretical uncertainty of about $\pm 16$ MeV for the extraction of $K_{0}$ from the $E_{ISGMR}$ of $^{208}$Pb. Furthermore, we find the $E_{ISGMR}$ difference between $^{100}$Sn and $^{132}$Sn strongly correlates with $L$ and thus provides a potentially useful probe of the symmetry energy.

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