Abstract
An approximate method for calculations in the neutron-proton interacting boson model (IBM-2) is investigated. An additional quadrupole q-boson, identified with the antisymmetric neutron-proton state, is added to the IBM-1 space of s- and d-bosons. The states in the (s, d, q)-space with n q = 0, l,… are related to the IBM-2 states with the value of F-spin F = F max, F max−1,… Equating the matrix elements between corresponding states in the IBM-2 space and the (s, d, q)-space we map the IBM-2 operators onto the operators in the (s, d, q)-space. Comparison of exact IBM-2 calculations and approximate calculations in the (s, d, q)-space shows that the latter reproduces quite well the IBM-2 results for low-lying states. Application of mean field techniques to the approximate (s, d, q)-space method allows a transparent interpretation of the mixed symmetry states and provides simple formulas for their characteristics.
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