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arXiv 2103.11153nucl-th
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用超对称量子力学研究奇异滴线核的共振

Study of resonances in exotic drip-line nuclei by the use of super-symmetric quantum mechanics

Md. A. Khan, M. Hasan, S. H. Mondal, M. Alam, T. Surungan

摘要:

本文利用等谱势和超球谐展开,提出了一个研究弱束缚核系统共振态和束缚态的理论方案。在该方案中,构造了一个新的势,它与原来的浅势严格等谱,并具有更精确和优雅地计算共振所需的性质。通过对富中子同位素$^{18,20}$ C在二中子加核三体团簇模型中的$0^+$共振的计算,验证了该方法的有效性。结果与现有数据非常吻合。

英文摘要:

In this paper, a nice theoretical scheme is presented to investigate resonant and bound states in weakly bound nuclear systems by the use of isospectral potentials together with hyperspherical harmonics expansion. In this scheme, a new potential is constructed which is strictly isospectral with the original shallow potential and has properties that are desirable to calculate resonances more accurately and elegantly. The effectiveness of the method has been checked in terms of its application to the $0^+$ resonances in the neutron-rich isotopes $^{18,20}$C in the two-neutron plus core three-body cluster model. The results are in excellent agreement with the available data.

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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