MultiphononKπ=0+states in even-even deformed nuclei. II. Calculation of matrix elements of a general Hamiltonian

Abstract

Matrix elements of a general Hamiltonian $H$ in a subspace spanned by collective ${K}^{\ensuremath{\pi}}={0}^{+}$ deformed phonons are derived with the help of recursion formulas. Various approximations are discussed both in the fermion space and in the boson space. Careful comparisons are made in the framework of a simple solvable model.[NUCLEAR STRUCTURE Multiphonon ${K}^{\ensuremath{\pi}}={0}^{+}$ states in deformed nuclei. Exact and approximate relations for matrix elements of a general Hamiltonian. Application to a solvable model.]