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arXiv 0705.2587nucl-th
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粒子数守恒微观方法中的Isospin混合

Isospin mixing in a particle-number conserving microscopic approach

L. Bonneau, J. Bartel, P. Quentin

摘要:

本文采用粒子数守恒的Higher Tamm-Dancoff方法计算了Mg到Sn的几个Tz=-1,Tz=0和Tz=1核的同位旋混合参数。特别是,我们调查的库仑相互作用和|Tz| =1配对相关的作用。为了做到这一点的HTDA方法实现与SIII Skyrme有效的核子核子相互作用的平均场通道和配对通道中的三角洲相互作用。我们的结论是,对关联对同位旋对称性破缺有很大的贡献,而库仑相互作用的作用不太重要。此外,我们还发现Tz=-1和Tz=1核的同位旋混合参数相当,而Tz=0核的同位旋混合参数大约是Tz=0核的两倍(在3%~ 6%之间,包括双幻核)。

英文摘要:

We calculate the isospin-mixing parameter for several Tz=-1, Tz=0 and Tz=1 nuclei from Mg to Sn in the particle-number conserving Higher Tamm-Dancoff approach taking into account the pairing correlations. In particular we investigate the role of the Coulomb interaction and the |Tz|=1 pairing correlations. To do so the HTDA approach is implemented with the SIII Skyrme effective nucleon-nucleon interaction in the mean-field channel and a delta interaction in the pairing channel. We conclude from this investigation that the pairing correlations bring a large contribution to isospin-symmetry breaking, whereas the Coulomb interaction turns out to play a less important role. Moreover we find that the isospin-mixing parameters for Tz=-1 and Tz=1 nuclei are comparable while they are about twice as large for Tz=0 nuclei (between 3% and 6%, including doubly magic nuclei).

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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