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.

8 pages, 6 figures, 3 tables

References in corpus (13)

• From low-momentum interactions to nuclear structure
• Recent developments in no-core shell-model calculations
• Structure of A=10-13 nuclei with two- plus three-nucleon interactions from chiral effective field theory
• Ab Initio Many-Body Calculations of n-3H, n-4He, p-{3,4}He, and n-10Be Scattering
• Quantum Monte Carlo calculations of neutron-alpha scattering
• Medium-mass nuclei from chiral nucleon-nucleon interactions
• Role of Long-Range Correlations on the Quenching of Spectroscopic Factors
• Solution of the center-of-mass problem in nuclear structure calculations
• Complex coupled-cluster approach to an ab-initio description of open quantum systems
• Benchmark calculations for 3H, 4He, 16O and 40Ca with ab-initio coupled-cluster theory
• Ab-initio computation of neutron-rich oxygen isotopes
• Ground-state and single-particle energies of nuclei around ^{16}O, ^{40}Ca, and ^{56}Ni from realistic nucleon-nucleon forces
• Light nuclei from chiral EFT interactions

Cited by in corpus (15)

• Coupled-cluster computations of atomic nuclei
• Quantum Monte Carlo calculations of spectroscopic overlaps in $A\le 7$ nuclei
• New applications of renormalization group methods in nuclear physics
• Quenching of spectroscopic factors for proton removal in oxygen isotopes
• Elastic proton scattering of medium mass nuclei from coupled-cluster theory
• Ab-initio approach to effective single-particle energies in doubly closed shell nuclei
• Efimov Physics around the neutron rich Calcium-60 isotope
• Coupled-cluster studies of infinite nuclear matter
• Radiative capture reactions in lattice effective field theory
• Adiabatic projection method for scattering and reactions on the lattice
• Astrophysical $S$ factor for the ${}^{15}\mathrm{N}(p,\gamma ){}^{16}\mathrm{O}$ reaction from $R$-matrix analysis and asymptotic normalization coefficient for ${}^{16}\mathrm{O}\to {}^{15}\mathrm{N}+p$. Is any fit acceptable?
• Microscopic description of translationally-invariant core+N+N overlap functions
• Closed-shell properties of ${}^{24}$O with {\em ab initio} coupled-cluster theory
• Spectroscopic factor strengths using $abinitio$ approaches
• Nuclear Physics without High-Momentum Potentials: Constructing the Nuclear Effective Interaction Directly from Scattering Observables