Skip to main content
OSTI.GOVU.S. Department of Energy Office of Scientific and Technical Information
U.S. Department of Energy
Office of Scientific and Technical Information
 

Effective Operators from Exact Many-Body Renormalization

Journal Article · · Physical Review C, vol. 80, no. 2, August 28, 2009, pp. 024315
; ; ; ; ;
We construct effective two-body Hamiltonians and E2 operators for the p-shell by performing 16{h_bar}{Omega} ab initio no-core shell model (NCSM) calculations for A = 5 and A = 6 nuclei and explicitly projecting the many-body Hamiltonians and E2 operator onto the 0{h_bar}{Omega} space. We then separate the effective E2 operator into one-body and two-body contributions employing the two-body valence cluster approximation. We analyze the convergence of proton and neutron valence one-body contributions with increasing model space size and explore the role of valence two-body contributions. We show that the constructed effective E2 operator can be parametrized in terms of one-body effective charges giving a good estimate of the NCSM result for heavier p-shell nuclei.
Research Organization:
Lawrence Livermore National Laboratory (LLNL), Livermore, CA
Sponsoring Organization:
USDOE
DOE Contract Number:
W-7405-ENG-48
OSTI ID:
970142
Report Number(s):
LLNL-JRNL-413919
Journal Information:
Physical Review C, vol. 80, no. 2, August 28, 2009, pp. 024315, Journal Name: Physical Review C, vol. 80, no. 2, August 28, 2009, pp. 024315 Journal Issue: 2 Vol. 80
Country of Publication:
United States
Language:
English

References (20)

Effective operators within the ab initio no-core shell model journal April 2005
Shell‐Model Applications in Nuclear Spectroscopy journal November 1978
Nuclear structure with accurate chiral perturbation theory nucleon-nucleon potential: Application to Li6 and B10 journal January 2004
Microscopic origins of effective charges in the shell model journal February 1997
Ab Initio Shell Model Calculations with Three-Body Effective Interactions for p -Shell Nuclei journal April 2002
Nuclear electric quadrupole moment of 6 Li journal April 1998
Large-basis ab initio no-core shell model and its application to 12 C journal October 2000
Ab-initio shell model with a core journal October 2008
Converging sequences in the ab initio no-core shell model journal February 2008
Full 0ħω shell model calculation of the binding energies of the 1 f 7 / 2 nuclei journal April 1999
Intruder states in 8 Be journal October 2001
Q UANTUM M ONTE C ARLO C ALCULATIONS OF L IGHT N UCLEI journal December 2001
Ab initio shell model with a genuine three-nucleon force for the p -shell nuclei journal September 2003
Spectra and binding energy predictions of chiral interactions for Li 7 journal June 2006
Quantum Monte Carlo calculations of A = 9 , 10 nuclei journal October 2002
High-precision, charge-dependent Bonn nucleon-nucleon potential journal January 2001
Properties of 12 C in the Ab Initio Nuclear Shell Model journal June 2000
Structure of A = 10 – 13 Nuclei with Two- Plus Three-Nucleon Interactions from Chiral Effective Field Theory journal July 2007
Ab Initio Study of Ca 40 with an Importance-Truncated No-Core Shell Model journal August 2007
Coupled Cluster Calculations of Ground and Excited States of Nuclei journal April 2004

Similar Records

Ab-Initio Shell Model with a Core
Journal Article · Wed Jun 04 00:00:00 EDT 2008 · Physical Review C, vol. 78, no. 4, October 10, 2008, pp. 044302 · OSTI ID:945612
Light Nuclei in the Framework of the Symplectic No-Core Shell Model
Conference · Sun Apr 01 20:00:00 EDT 2007 · OSTI ID:901844
Microscopic origins of effective charges in the shell model
Journal Article · Fri Jan 31 23:00:00 EST 1997 · Physical Review, C · OSTI ID:450525

Related Subjects

73 NUCLEAR PHYSICS AND RADIATION PHYSICS
CONVERGENCE
EFFECTIVE CHARGE
HAMILTONIANS
NEUTRONS
NUCLEI
PROTONS
RENORMALIZATION
SHELL MODELS
VALENCE