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上海交通大学 物理与天文系,上海,200240
Published:16 October 2014
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FU Guanjian, ZHAO Yumin. Proton-neutron interactions and nucleon-pair approximation[J]. Nuclear techniques, 2014, 37(10): 100502
FU Guanjian, ZHAO Yumin. Proton-neutron interactions and nucleon-pair approximation[J]. Nuclear techniques, 2014, 37(10): 100502 DOI: 10.11889/j.0253-3219.2014.hjs.37.100502.
质子-中子相互作用和质子-中子配对是原子核结构中有趣的问题。本文指出,经验上由结合能提取的质子-中子相互作用和壳模型计算得到的T=0质子-中子相互作用的计算结果很接近;计算中奇奇核和偶偶核的结合能应该附加一个额外项,这个额外项由质子-中子相互作用给出。自旋平行的质子-中子配对(角动量为9,同位旋为0)在96Cd的01+ 、 21+、41+ 、61+ 、121+ 、141+ 和161+ 态以及92Pd原子核的01+ 和21+ 态中重要,而传统的SD配对近似对于 01+和 21+态的描述更合适。
Background: Nucleon-pair correlations play an important role in low-lying states of atomic nuclei. Purpose: The aim is to study empirical proton-neutron interactions and investigate the contribution from spin-aligned proton-neutron pairs (with spin 9 and isospin 0) in low-lying states of 96Cd and 92Pd. Methods: The empirical proton-neutron interaction is obtained by using nuclear binding energies of a few neighboring nuclei and the nuclear shell model. The contribution from spin-aligned proton-neutron pairs in the shell model wave functions is evaluated by using the nucleon-pair approximation with isospin symmetry. Results: The empirical proton-neutron interaction is reasonably consistent with isoscalar interactions calculated by using the shell model. There exists an additional binding energy in both even-even and odd-odd nuclei originated from proton-neutron interactions. Spin-aligned isoscalar pairs play an important role in the 01+
21+
41+
61+
121+
141+and 161+ states of 96Cd and the 01+
21+states of 92Pd. For the 01+ and 21+ states
the conventional isovector SD pairs are more relevant. Conclusion: Both isoscalar and isovector nucleon pairs play an important role in low-lying states of N=Z nuclei. This is a consequence of nonorthogonality feature of nucleon-pair basis.Cited
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