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Title: Shell-model coupled-cluster method for open-shell nuclei

Abstract

An approach to derive effective shell-model interactions from microscopic nuclear forces is introduced here. The similarity transformed coupled-cluster Hamiltonian decouples the single-reference state of a closed-shell nucleus and provides us with a core for the shell model. We use a second similarity transformation to decouple a shell-model space from the excluded space. We show that the three-body terms induced by both similarity transformations are crucial for an accurate computation of ground and excited states. As a proof of principle we use a nucleon-nucleon interaction from chiral effective field theory, employ a 4He core, and compute low-lying states of 6–8He and 6–8Li in p-shell model spaces. Our conclusions agree with benchmarks from full configuration interaction.

Authors:
 [1]; ORCiD logo [1]; ORCiD logo [1]; ORCiD logo [2]; ORCiD logo [1]
  1. Univ. of Tennessee, Knoxville, TN (United States); Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States)
  2. Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States)
Publication Date:
Research Org.:
Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States). Oak Ridge Leadership Computing Facility (OLCF)
Sponsoring Org.:
USDOE Office of Science (SC), Nuclear Physics (NP) (SC-26)
OSTI Identifier:
1546557
Alternate Identifier(s):
OSTI ID: 1483714
Grant/Contract Number:  
AC05-00OR22725; FG02- 96ER40963; DEFG02-96ER40963
Resource Type:
Journal Article: Accepted Manuscript
Journal Name:
Physical Review C
Additional Journal Information:
Journal Volume: 98; Journal Issue: 5; Journal ID: ISSN 2469-9985
Publisher:
American Physical Society (APS)
Country of Publication:
United States
Language:
English
Subject:
73 NUCLEAR PHYSICS AND RADIATION PHYSICS

Citation Formats

Sun, Zhonghao, Morris, Titus D., Hagen, Gaute, Jansen, Gustav R., and Papenbrock, Thomas. Shell-model coupled-cluster method for open-shell nuclei. United States: N. p., 2018. Web. doi:10.1103/PhysRevC.98.054320.
Sun, Zhonghao, Morris, Titus D., Hagen, Gaute, Jansen, Gustav R., & Papenbrock, Thomas. Shell-model coupled-cluster method for open-shell nuclei. United States. doi:10.1103/PhysRevC.98.054320.
Sun, Zhonghao, Morris, Titus D., Hagen, Gaute, Jansen, Gustav R., and Papenbrock, Thomas. Wed . "Shell-model coupled-cluster method for open-shell nuclei". United States. doi:10.1103/PhysRevC.98.054320. https://www.osti.gov/servlets/purl/1546557.
@article{osti_1546557,
title = {Shell-model coupled-cluster method for open-shell nuclei},
author = {Sun, Zhonghao and Morris, Titus D. and Hagen, Gaute and Jansen, Gustav R. and Papenbrock, Thomas},
abstractNote = {An approach to derive effective shell-model interactions from microscopic nuclear forces is introduced here. The similarity transformed coupled-cluster Hamiltonian decouples the single-reference state of a closed-shell nucleus and provides us with a core for the shell model. We use a second similarity transformation to decouple a shell-model space from the excluded space. We show that the three-body terms induced by both similarity transformations are crucial for an accurate computation of ground and excited states. As a proof of principle we use a nucleon-nucleon interaction from chiral effective field theory, employ a 4He core, and compute low-lying states of 6–8He and 6–8Li in p-shell model spaces. Our conclusions agree with benchmarks from full configuration interaction.},
doi = {10.1103/PhysRevC.98.054320},
journal = {Physical Review C},
issn = {2469-9985},
number = 5,
volume = 98,
place = {United States},
year = {2018},
month = {11}
}

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