Computation of spectroscopic factors with the coupled-cluster method

Details Computation of spectroscopic factors with the coupled-cluster method Computation of spectroscopic factors with the coupled-cluster method

2010-04-15

arxiv.org/abs/1004.2611v1

Phys. Rev. C 82, 014310 (2010)

Physics

Nuclear Physics

Nuclear Theory

8 pages, 6 figures, 3 tables

Scientific paper

10.1103/PhysRevC.82.014310

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.

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