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arXiv 1702.06330nucl-th
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N=Z核中真实二体相互作用引起的四重关联

Quartet correlations in N=Z nuclei induced by realistic two-body interactions

M. Sambataro, N. Sandulescu

摘要:

两个变分四重模型以前采用的配对力的治疗推广到一般的两体相互作用的情况下。一个模型把核态近似为具有角动量$J=0$和同位旋$T=0$的相同四重态的凝聚,而另一个模型则让这些四重态彼此不同。利用这些模型,我们研究了类α四重关联在$sd$ -壳层中奇偶$N=Z$核的基态和最低$J=0$、$T=0$激发态中的作用.我们表明,这些核的基态关联可以在很好的程度上描述的α-类四重态的凝聚。结果表明,对于核$^{32}$ S,尤其是这种情况,发现这种凝聚体和壳模型波函数之间的重叠接近于1。在同一核中,在第一激发态$0^+$的情况下也发现了类似的重叠。没有明确的对应关系,而是观察到的第二激发态的四重态模型和壳模型本征态在所有的情况下检查。

英文摘要:

Two variational quartet models previously employed in a treatment of pairing forces are extended to the case of a general two-body interaction. One model approximates the nuclear states as a condensate of identical quartets with angular momentum $J=0$ and isospin $T=0$ while the other let these quartets to be all different from each other. With these models we investigate the role of alpha-like quartet correlations both in the ground state and in the lowest $J=0$, $T=0$ excited states of even-even $N=Z$ nuclei in the $sd$-shell. We show that the ground state correlations of these nuclei can be described to a good extent in terms of a condensate of alpha-like quartets. This turns out to be especially the case for the nucleus $^{32}$S for which the overlap between this condensate and the shell model wave function is found close to one. In the same nucleus, a similar overlap is found also in the case of the first excited $0^+$ state. No clear correspondence is observed instead between the second excited states of the quartet models and the shell model eigenstates in all the cases examined.

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