Resonant Continuum in Extended RMF Plus BCS Approximation**The project supported by National Natural Science Foundation of China under Grant Nos. 90103020, 10075080, and 10275094, and the Key State Basic Research Development Programme of China under Contract No. G2000077400

Abstract

The contribution of the resonant continuum to pairing correlations is investigated in the relativistic mean field theory plus Bardeen–Cooper–Schrieffer (BCS) approximation with a constant pairing strength. The resonance states with their widths in the continuum are considered explicitly. The numerical study is performed in an effective Lagrangian with the parameter set NLSH for neutron-rich nucleus 84Ni. The results show that the effect of the proper treatment of the resonant continuum on pairing correlations for nucleus close to neutron drip line is important. It is found that the problem of an unphysical particle gas could be overcome when the pairing correlation is performed by using the resonant states instead of the discretized states in the continuum.