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arXiv 0910.4023nucl-th
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$^{178}$ Hf $^{m2}$的约束相对论平均场论描述

Description of $^{178}$Hf$^{m2}$ in the constrained relativistic mean field theory

Zhang Wei, Peng Jing, Zhang Shuang-Quan

摘要:

利用绝热和非绝热约束相对论平均场(RMF)方法研究了$^{178}$ Hf和同分异构态$^{178}$ Hf $^{m2}$的基态性质. RMF计算很好地再现了$^{178}$ Hf基态的结合能和形变。利用计算得到的基态单粒子本征值,发现$K^π=16^+$的最低激发组态为$ν(7/2^-[514])^{-1}(9/2^+[624])^{1}$ $π(7/2^+[404])^{-1}(9/2^-[514])^{1}$ .用考虑时间奇场的RMF理论计算其激发能等于2.801 MeV,接近于$^{178}$ Hf $^{m2}$的实验激发能2.446 MeV。介子场奇时分量的自洽计算是本计算的重要方面。

英文摘要:

The properties of the ground state of $^{178}$Hf and the isomeric state $^{178}$Hf$^{m2}$ are studied within the adiabatic and diabatic constrained relativistic mean field (RMF) approaches. The RMF calculations reproduce well the binding energy and the deformation for the ground state of $^{178}$Hf. Using the ground state single-particle eigenvalues obtained in the present calculation, the lowest excitation configuration with $K^π=16^+$ is found to be $ν(7/2^-[514])^{-1}(9/2^+[624])^{1}$ $π(7/2^+[404])^{-1}(9/2^-[514])^{1}$. Its excitation energy calculated by the RMF theory with time-odd fields taken into account is equal to 2.801 MeV, i.e., close to the $^{178}$Hf$^{m2}$ experimental excitation energy 2.446 MeV. The self-consistent procedure accounting for the time-odd component of the meson fields is the most important aspect of the present calculation.

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