arXiv 1105.41692011-05-20nucl-th

质量为16-19的手征双核子和三核子相互作用核的壳模型描述

Shell-model descriptions of mass 16-19 nuclei with chiral two- and three-nucleon interactions

Huan Dong, T. T. S. Kuo, J. W. Holt

备注：: 9 pages, 11 figures

摘要：

用N $^3$ LO双核子势$V_{2N}$，在加入和不加入介质中的三核子势$V_{3N}^{med}$的情况下，对几个质量为16-19的核进行了壳模型计算.介质中的三核子势是最近由Holt，Kaiser和Weise从首阶手征三核子力$V_{3N}$导出的密度相关有效双核子势.我们首先从$V_{2N}$和$V_{3N}^{med}$计算$V_{low-k}$低动量相互作用。然后分别用Lee-Suzuki迭代法和最近发展的Okamoto和Suzuki迭代法从这些低动量相互作用中得到了$sd$单壳层和$sdpf$双壳层模型空间的壳层模型有效相互作用。$V_{3N}^{med}$对$^{18}O$、$^{18}F$、$^{19}O$和$^{19}F$的低能态的影响一般较小，主要是降低了这些核的基态能量，使它们比单独用$V_{2N}$计算的结果更符合实验.这些核的激发光谱不受$V_{3N}^{med}$的显著影响。用$sd$和$sdpf$模型空间计算得到的这些核的低能谱非常相似。我们的壳模型计算$^{16}O$表明，$V_{3N}^{med}$相互作用是重要的和理想的结合能的这个核。

英文摘要：

Shell-model calculations for several mass 16-19 nuclei are performed using the N$^3$LO two-nucleon potential $V_{2N}$ with and without the addition of an in-medium three-nucleon potential $V_{3N}^{med}$, which is a density-dependent effective two-nucleon potential recently derived from the leading-order chiral three-nucleon force $V_{3N}$ by Holt, Kaiser, and Weise. We first calculate the $V_{low-k}$ low-momentum interactions from $V_{2N}$ and $V_{3N}^{med}$. The shell-model effective interactions for both the $sd$ one-shell and $sdpf$ two-shell model spaces are then obtained from these low-momentum interactions using respectively the Lee-Suzuki and the recently developed Okamoto and Suzuki iteration methods. The effects of $V_{3N}^{med}$ to the low-lying states of $^{18}O$, $^{18}F$, $^{19}O$ and $^{19}F$ are generally small and attractive, mainly lowering the ground-state energies of these nuclei and making them in better agreements with experiments than those calculated with $V_{2N}$ alone. The excitation spectra of these nuclei are not significantly affected by $V_{3N}^{med}$. The low-lying spectra of these nuclei calculated with the $sd$ and $sdpf$ model spaces are closely similar to each other. Our shell-model calculations for $^{16}O$ indicate that the $V_{3N}^{med}$ interaction is important and desirable for the binding energy of this nucleus.

机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。

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英文摘要：

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