A self-consistent equation of motion multiphonon method for odd mass nuclei

An equation of motion phonon method, developed for even-even nuclear systems, is extended to odd nuclei and applied to A = 17 isobars. A calculation using a chiral potential is carried out in a space encompassing up to two phonons and, under some simplifying assumptions, three phonons. The low and high energy spectroscopic properties of ¹⁷O and ¹⁷F are thoroughly explored. The impact of the different phonon components on spectrum, transitions and dipole cross sections is discussed. (paper)