Effects of spherical and deformed state mixing on the E2 rates between the odd-parity states of ⁴⁰Ca

Several E2 decay schemes for the low-lying T = 0 odd-parity states of ⁴⁰Ca are discussed. It is shown that a pure RPA description of these decays is not satisfactory. Gerace and Green have mixed these pure RPA states with 3p-3h deformed states to describe the T = 0 odd-parity states. In the calculation of the E2 rates with their wave functions, the intrinsic quadrupole moment of the band is taken to be a parameter so that several cases may be considered. It is thus shown that only once choice for the intrinsic quadrupole moment leads to a consistent explanation of the B(E2) values. Furthermore, the choice for the intrinsic quadrupole moment is the only one which is consistent with those of the even parity states in ⁴⁰Ca.