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arXiv 1209.6076nucl-th
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基于能量泛函的集体哈密顿量中缺中子Sn同位素的增强集体性

Enhanced collectivity in neutron-deficient Sn isotopes in energy functional based collective Hamiltonian

Z. P. Li, C. Y. Li, J. Xiang, J. M. Yao, J. Meng

摘要:

利用PC-PK 1能量密度泛函,通过三轴相对论平均场计算确定了五维集体哈密顿量,研究了Sn同位素的低集体态.对$2^+_1$态的激发能和$B(E2;0^+_1\to 2^+_1)$值的系统学计算得到了较好的再现,特别是对N<66的缺中子Sn同位素的E2跃迁的增强。结果表明,费米面附近中子1g ~(7/2)和2d ~(5/2)能级的逐渐简并导致能级密度的增加,从而增强了N=66 ~ 58的配对关联。它引起了一个大的四极形状的波动周围的球形,并导致在N=58周围的同位素的集体性增强。

英文摘要:

The low-lying collective states in Sn isotopes are studied by a five-dimensional collective Hamiltonian with parameters determined from the triaxial relativistic mean-field calculations using the PC-PK1 energy density functional. The systematics for both the excitation energies of $2^+_1$ states and $B(E2;0^+_1\to 2^+_1)$ values are reproduced rather well, in particular, the enhanced E2 transitions in the neutron-deficient Sn isotopes with N<66. We show that the gradual degeneracy of neutron levels 1g7/2 and 2d5/2 around the Fermi surface leads to the increase of level density and consequently the enhanced paring correlations from N=66 to 58. It provokes a large quadrupole shape fluctuation around the spherical shape, and leads to an enhanced collectivity in the isotopes around N=58.

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