论文标题

镜子核中的几个体型结构,$^{11} $ o和$^{11} $ li

Few-body structures in the mirror nuclei, $^{11}$O and $^{11}$Li

论文作者

Garrido, E., Jensen, A. S.

论文摘要

我们分别研究了位于中子和质子滴灌上的滴滴镜子核,$^{11} $ li和$^{11} $ o。我们计算最低的四个州,$ 3/2^ - $,$ 1/2^+$,$ 3/2^+$和$ 5/2^+$,在核$ s_ {1/2} $和$ p_ {1/2} $ valence单粒子状态下建立。我们使用超球绝热膨胀方法来解决由两个相同核子包围的冷冻核芯的三体问题。 $^{11} $ o中的四个模拟状态与$^{11} $ li中的四个状态相同的相互作用获得,除了从替代价质子的费用中添加了库仑相互作用。令人惊讶的是,这四个能量仅彼此偏离不到几百keV。然后,由于三体电位的角动量和奇偶校验依赖性相关的不确定性,它们都可以变成基础状态。尽管如此,我们的计算略微偏爱$ 1/2^+$状态。 $^{11} $ o中这四个状态的结构与镜子中的模拟状态大大偏离,$^{11} $ li。

We investigate the dripline mirror nuclei, $^{11}$Li and $^{11}$O, located on the neutron and proton dripline, respectively. We calculate the lowest four states, $3/2^-$, $1/2^+$, $3/2^+$ and $5/2^+$, built on double occupancy in the nuclear $s_{1/2}$ and $p_{1/2}$ valence single-particle states. We use the hyperspherical adiabatic expansion method to solve the three-body problem for a frozen nuclear core surrounded by two identical nucleons. The four analogue states in $^{11}$O are obtained with precisely the same interactions as used for the four states in $^{11}$Li, except for addition of the Coulomb interaction from the charge of the substituted valence protons. Surprisingly the four energies deviate from each other only by less than a few hundred keV. Any of them could then turn out to be the ground state, due to the uncertainty related to the angular momentum and parity dependence of the three-body potential. Still, our calculations marginally favor the $1/2^+$ state. The structures of these four states in $^{11}$O deviate substantially from the analogue states in the mirror, $^{11}$Li.

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