Computation of spectroscopic factors with the coupled-cluster method

Abstract

We present a calculation of spectroscopic factors within coupled-cluster theory. Our derivation of algebraic equations for the one-body overlap functions are based on coupled-cluster equation-of-motion solutions for the ground and excited states of the doubly magic nucleus with mass number $A$ and the odd-mass neighbor with mass $A-1$. As a proof-of-principle calculation, we consider ${}^{16}$O and the odd neighbors ${}^{15}$O and ${}^{15}$N, and compute the spectroscopic factor for nucleon removal from ${}^{16}$O. We employ a renormalized low-momentum interaction of the $V_{\mathrm{low}-k}$ type derived from a chiral interaction at next-to-next-to-next-to-leading order. We study the sensitivity of our results by variation of the momentum cutoff, and then discuss the treatment of the center of mass.

Comments: 8 pages, 6 figures, 3 tables