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arXiv 2109.07092nucl-thnucl-ex
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输运方法中的核巨四重共振及其对核子有效质量的约束

Nuclear giant quadruple resonance within transport approach and its constraint on nucleon effective mass

Yi-Dan Song, Rui Wang, Zhen Zhang, Yu-Gang Ma

摘要:

本文从Boltzmann-Uehling-Uhlenbeck~(BUU)输运方程出发,研究了核等标量巨四重共振~(ISGQR)。BUU方程的平均场部分由Skyrme核子-核子有效相互作用描述,其碰撞项体现了两粒子两空穴($2$ p- $2$ h)关联.我们发现重核的ISGQR的宽度是由碰撞阻尼决定的,通过碰撞项将其纳入BUU方程,并通过适当的介质内核子-核子截面可以很好地再现。在进一步的Vlasov和BUU计算的基础上,利用$\isotope[208]{Pb}$的ISGQR的激发能$E_x$,分别提取了饱和密度下的等标量核子有效质量$m^{*}_{s,0}/m$ $=$ $0.83\pm0.04$和$m^{*}_{s,0}/m$ $=$ $0.82\pm0.03$.两个约束之间的小差异表明$2$相关性在用ISGQR激发能约束$m_{s,0}^*$中的作用可以忽略.

英文摘要:

We study the nuclear iso-scalar giant quadruple resonance~(ISGQR) based on the Boltzmann-Uehling-Uhlenbeck~(BUU) transport equation. The mean-field part of the BUU equation is described by the Skyrme nucleon-nucleon effective interaction, and its collision term, which embodies the two-particle-two-hole ($2$p-$2$h) correlation, is implemented through the stochastic approach. We find that the width of ISGQR for heavy nuclei is exhausted dominated by collisional damping, which is incorporated into the BUU equation through its collision term, and it can be well reproduced through employing a proper in-medium nucleon-nucleon cross section. Based on further Vlasov and BUU calculations with a number of representative Skyrme interactions, the iso-scalar nucleon effective mass at saturation density is extracted respectively as $m^{*}_{s,0}/m$ $=$ $0.83\pm0.04$ and $m^{*}_{s,0}/m$ $=$ $0.82\pm0.03$ from the measured excitation energy $E_x$ of the ISGQR of $\isotope[208]{Pb}$. The small discrepancy between the two constraints indicates the negligible role of $2$p-$2$h correlation in constraining $m_{s,0}^*$ with the ISGQR excitation energy.

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