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Spherical coupled-cluster theory for open-shell nuclei

Journal Article · · Physical Review C, Nuclear Physics
 [1]
  1. Univ. of Tennessee, Knoxville, TN (United States). Dept. of Physics and Astronomy; Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States); Univ. of Oslo (Norway). Dept. of Physics and Center of Mathematics for Applications
+ Show Author Affiliations
A microscopic description of nuclei is important to understand the nuclear shell model from fundamental principles. This is difficult to achieve for more than the lightest nuclei without an effective approximation scheme. Define and evaluate an approximation scheme that can be used to study nuclei that are described as two particles attached to a closed (sub-)shell nucleus. The equation-of-motion coupled-cluster formalism has been used to obtain ground- and excited-state energies. This method is based on the diagonalization of a non-Hermitian matrix obtained from a similarity transformation of the many-body nuclear Hamiltonian. A chiral interaction at the next-to-next-to-next-to leading order (N3LO) using a cutoff at 500 MeV was used. The ground-state energies of 6Li and 6He were in good agreement with a no-core shell-model calculation using the same interaction. Several excited states were also produced with overall good agreement. Only the $J^π = 3^+$ excited state in 6Li showed a sizable deviation. The ground-state energies of 18O, 18F, and 18Ne were converged but underbound compared to experiment. Moreover, the calculated spectra were converged and comparable to both experiment and shell-model studies in this region. Some excited states in 18O were high or missing in the spectrum. It was also shown that the wave function for both ground and excited states separates into an intrinsic part and a Gaussian for the center-of-mass coordinate. Spurious center-of-mass excitations are clearly identified. Results are converged with respect to the size of the model space and the method can be used to describe nuclear states with simple structure. Especially the ground-state energies were very close to what has been achieved by exact diagonalization. To obtain a closer match with experimental data, effects of three-nucleon forces, the scattering continuum, as well as additional configurations in the coupled-cluster approximations are necessary.
Research Organization:
Oak Ridge National Laboratory (ORNL), Oak Ridge, TN (United States). Oak Ridge Leadership Computing Facility (OLCF); Univ. of Tennessee, Knoxville, TN (United States)
Sponsoring Organization:
USDOE Office of Science (SC)
Grant/Contract Number:
AC05-00OR22725; FG02-96ER40963; SC0008499
OSTI ID:
1565057
Journal Information:
Physical Review C, Nuclear Physics, Journal Name: Physical Review C, Nuclear Physics Journal Issue: 2 Vol. 88; ISSN 0556-2813; ISSN PRVCAN
Publisher:
American Physical Society (APS)Copyright Statement
Country of Publication:
United States
Language:
English

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Cited By (20)

Emergent properties of nuclei from ab initio coupled-cluster calculations journal May 2016
Coupled-cluster computations of atomic nuclei journal September 2014
In-medium similarity renormalization group for closed and open-shell nuclei journal December 2016
Giant and pigmy dipole resonances in He 4 , O 16 , 22 , and Ca 40 from chiral nucleon-nucleon interactions journal December 2014
Accurate nuclear radii and binding energies from a chiral interaction journal May 2015
Magnus expansion and in-medium similarity renormalization group journal September 2015
Ab initio excited states from the in-medium similarity renormalization group journal April 2017
Δ isobars and nuclear saturation journal February 2018
Few-nucleon and many-nucleon systems with semilocal coordinate-space regularized chiral nucleon-nucleon forces journal July 2018
Nonperturbative Shell-Model Interactions from the In-Medium Similarity Renormalization Group journal October 2014
Effects of Three-Nucleon Forces and Two-Body Currents on Gamow-Teller Strengths journal December 2014
Structure of Ni 78 from First-Principles Computations journal October 2016
Structure of the Lightest Tin Isotopes journal April 2018
Coupled-cluster computations of atomic nuclei text January 2013
Nonperturbative shell-model interactions from the in-medium similarity renormalization group text January 2014
Effects of three-nucleon forces and two-body currents on Gamow-Teller strengths text January 2014
Emergent properties of nuclei from ab initio coupled-cluster calculations text January 2016
In-Medium Similarity Renormalization Group for Closed and Open-Shell Nuclei text January 2016
Ab Initio Excited States from the In-Medium Similarity Renormalization Group text January 2016
Few- and many-nucleon systems with semilocal coordinate-space regularized chiral nucleon-nucleon forces text January 2018

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