Effect of resonant continuum on pairing correlations in the relativistic approach
Effect of resonant continuum on pairing correlations in the relativistic approach
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DOI：
10.1140/epja/i2004-10029-5
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发表时间：
2003-07
期刊：
影响因子：
--
通讯作者：
Ligang Cao;Zhong‐yu Ma
中科院分区：
文献类型：
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作者：
Ligang Cao;Zhong‐yu Ma
对共振连续体的适当处理不仅要考虑共振态的能量，而且要考虑其宽度。在相对论平均场理论和具有恒定配对强度的Bardeen-Cooper-Schrieffer （BCS）近似的框架下，给出了共振态对配对关联的影响。对富中子偶偶镍同位素在有效拉格朗日量中进行了参数设置为NL3的研究。结果表明，共振连续体的适当处理对靠近中子滴线的核的配对相关性的贡献是重要的。适当考虑共振态的宽度对配对间隙、费米能、配对相关能和结合能有很大的影响。用共振态代替连续介质中的离散态进行配对关联，可以很好地克服传统的平均场加BCS法计算滴线附近原子核时可能出现的非物理粒子气体问题。
A proper treatment of the resonant continuum is to take account of not only the energy of the resonant state, but also its width. The effect of resonant states on pairing correlations is presented in the framework of the relativistic mean-field theory plus Bardeen-Cooper-Schrieffer (BCS) approximation with a constant pairing strength. The study is performed in an effective Lagrangian with the parameter set NL3 for neutron-rich even-even Ni isotopes. Results show that the contribution of the proper treatment of the resonant continuum to pairing correlations for those nuclei close to the neutron drip line is important. The pairing gaps, Fermi energies, pairing correlation energies, and binding energies are considerably affected by a proper consideration of the width of resonant states. The problem of unphysical particle gas, which may appear in the calculation of the traditional mean field plus BCS method for nuclei in the vicinity of the drip line could be well overcome when the pairing correlation is performed by using the resonant states instead of the discretized states in the continuum.