Resonant Continuum in the Relativistic Mean-Field Theory**The project supported by National Natural Science Foundation of China under Grant Nos. 10075080, 19847002, 19835010 and Major State Basic Research Development Program under Grant No. G20000774

Abstract

Energies, widths and wave functions of the single-particle resonant continuum are determined by solving scattering states of the Dirac equation with proper asymptotic conditions for the continuous spectrum in the relativistic mean-field theory. The relativistic regular and irregular Coulomb wave functions are calculated numerically. The resonance states in the continuum for some closed- or sub-closed-shell nucleus in Sn-isotopes, such as 114Sn, 116Sn, 118Sn, and 120Sn are calculated. Results show that the S-matrix method is a reliable and straightforward way in determining energies and widths of resonant states.