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.