Computation of spectroscopic factors with the coupled-cluster method

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 ¹⁶O as well as the odd neighbors ¹⁵O and ¹⁵N and compute the spectroscopic factor for nucleon removal from ¹⁶O. We employ a renormalized low-momentum interaction of the V_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.