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

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.