Microscopic multiphonon method for odd nuclei and its application to 17O

An equations of motion phonon method is extended to odd nuclei. It generates an orthonormal basis out of an odd particle coupled to n-phonon core states (n = 0,1,2,...), built of Tamm-Dancoff phonons, and formulates the eigenvalue problem in such a multiphonon particle-core space. O-17 is chosen as testing ground. An intrinsic chiral Hamiltonian is adopted in a large configuration space to perform a calculation using a Hartree-Fock (HF) basis in a space encompassing up to two and, under simplifying assumptions, three phonons. The impact of the different phonon components on spectrum, moments, transitions, and dipole cross section is discussed.