The centre-of-mass spuriosity in continuum shell-model calculations

Abstract

A method proposed previously to eliminate the centre-of-mass (CM) spuriosity in continuum shell-model (SM) calculations of 4He is generalised to adapt to the cases of heavier nuclei. It is applied to study the (p,p) and (p,n) reactions involving the one-particle-one-hole excitation of the dipole resonances in 12C and 16O. The effect is non-negligible and the results show features not observed previously. The Pauli term is also studied and is found to be less important in 16O as compared with the lighter nucleus 12C.