Research on the halo in $^{31}$Ne with complex momentum representation method

摘要

Halo is one of the most interesting phenomena in exotic nuclei especially for$^{31}$Ne, which is deemed to be a halo nucleus formed by a $p-$wave resonance.However, the theoretical calculations don't suggest a $p-$wave resonance usingthe scattering phase shift approach or complex scaling method. Here, we applythe complex momentum representation method to explore resonances in $^{31}$Ne.We have calculated the single-particle energies for bound and resonant statestogether with their evolutions with deformation. The results show that the$p-$wave resonances appear clearly in the complex momentum plane accompaniedwith the $p-f$ inversion in the single-particle levels. As it happens the $p-f$inversion, the calculated energy, width, and occupation probabilities of majorcomponents in the level occupied by valance neutron support a $p-$wave halo for$^{31}$Ne.