AN EXACT MICROSCOPIC MULTIPHONON APPROACH TO NUCLEAR COLLECTIVE EXCITATIONS

Abstract

The method outlined here consists of constructing a set of equations of motion within a subspace spanned by states which are tensor products of n Tamm Dancoff phonons. Recursive relations allow to solve these equations iteratively, starting from the particle-hole vacuum, and, thereby, to generate a basis of microscopic multiphonon states. In such a basis, the Hamiltonian takes on a simple form and can be easily diagonalized. For illustrative purposes, we apply the method to 16 O .