Proton-neutron pairing in the deformed BCS approach

Proton-neutron pairing in the deformed BCS approach
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变形 BCS 方法中的质子-中子配对

DOI:
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发表时间:
2003
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通讯作者:
A. Faessler
A. Faessler
中科院分区:
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作者:
F. Šimkovic;C. Moustakidis;L. Pacearescu;A. Faessler

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我们在变形BCS方法中研究了质量数$A=64\char21{}76$的偶偶Ge同位素基态的等矢量和等标量质子-中子配对关系。对于$N=Z$ $_{32}^{64}\ mathm {Ge}$,我们找到了只有$T=0$质子-中子对的BCS解。对于其他核系统$(NgZ)$,观察到$T=0$和$T=1$对在BCS波函数中共存。讨论了等标量和等矢量配对相互作用强度的确定问题。讨论了BCS基态中相似对和不同对的数目与中子数和质子数之差的关系。我们发现,对于N$远大于Z$的原子核,质子-中子对的影响很小,但不可忽略。
We examine isovector and isoscalar proton-neutron-pairing correlations for the ground state of even-even Ge isotopes with mass number $A=64\char21{}76$ within the deformed BCS approach. For $N=Z$ $_{32}^{64}\mathrm{Ge}$ the BCS solution with only $T=0$ proton-neutron pairs is found. For other nuclear systems $(NgZ)$ a coexistence of $T=0$ and $T=1$ pairs in the BCS wave function is observed. The problem of fixing of strengths of isoscalar and isovector pairing interactions is addressed. The dependence of number of like and unlike pairs in the BCS ground state on the difference between number of neutrons and protons is discussed. We found that for nuclei with $N$ much bigger than $Z$ the effect of proton-neutron pairing is small but not negligible.