Microscopic multiphonon method for odd nuclei and its application to ${}^{17}\mathrm{O}$

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 ($n=0,1,2,\cdots$), built of Tamm-Dancoff phonons, and formulates the eigenvalue problem in such a multiphonon particle-core space. ${}^{17}\mathrm{O}$ 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.

Figure 1

Theoretical vs experimental [38] spectra of ${}^{17}\mathrm{O}$. $N_{\text{ph}}$ indicates the maximum phonon number. The dashed levels have unknown spin or parity or both.

Figure 2

Theoretical vs experimental [40] $E1$ cross sections (a) and the contributions from the different transitions (b). A Lorentzian of width $\mathrm{\Delta }=2$ MeV was used.