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arXiv · 1004.2611

Computation of spectroscopic factors with the coupled-cluster method

Ø. Jensen·G. Hagen·T. Papenbrock·D. J. Dean·J. S. Vaagen
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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.

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Ø. Jensen, G. Hagen, T. Papenbrock, D. J. Dean, J. S. Vaagen. 2010-04-15. Computation of spectroscopic factors with the coupled-cluster method. https://doi.org/10.1103/physrevc.82.014310

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