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arXiv 0904.2830nucl-thcond-mat.str-elquant-ph
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大变形核标准对模型的新精确解

New exact solutions of the standard pairing model for well-deformed nuclei

Feng Pan, Ming-Xia Xie, Xin Guan, Lian-Rong Dai, J. P. Draayer

摘要:

本文提出了一种新的分步对角化方法,用于计算核变形平均场加对相互作用模型的精确解,每一步通过一个简单的Bethe变换,逐步得到本征值和相应的本征态。这种新方法利用了一种观察,即在$k$ -粒子希尔伯特子空间中的原始一加两体问题可以映射到一个单体大硬核玻色子图像,该图像可以用早期工作中已知的简单Bethe矩阵逐步解决。基于这个新的程序,它进一步表明,扩展的变形核配对模型[物理评论Lett. 92,112503(2004)]类似于标准配对模型的第一步近似,其中只考虑了标准纯配对相互作用部分的最低能量本征态。我们的分析表明,标准配对模型与第一步近似显示类似的对结构的前几个确切的低躺状态的模型,因此,提供了一个链接两个模型之间。

英文摘要:

A new step-by-step diagonalization procedure for evaluating exact solutions of the nuclear deformed mean-field plus pairing interaction model is proposed via a simple Bethe ansatz in each step from which the eigenvalues and corresponding eigenstates can be obtained progressively. This new approach draws upon an observation that the original one- plus two-body problem in a $k$-particle Hilbert subspace can be mapped unto a one-body grand hard-core boson picture that can be solved step by step with a simple Bethe ansatz known from earlier work. Based on this new procedure, it is further shown that the extended pairing model for deformed nuclei [Phys. Rev. Lett. 92, 112503 (2004) ] is similar to the standard pairing model with the first step approximation, in which only the lowest energy eigenstate of the standard pure pairing interaction part is taken into consideration. Our analysis show that the standard pairing model with the first step approximation displays similar pair structures of first few exact low-lying states of the model, which, therefore, provides a link between the two models.

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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