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Title: Projection of good quantum numbers for reaction fragments

Journal Article · · Physical Review C
ORCiD logo [1]
  1. Univ. of Washington, Seattle, WA (United States)
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In reactions the wave packets of the emerging products normally are not eigenstates of particle number operators or any other conserved quantities and their properties are entangled. I describe here a particle projection technique in parts of space, which eschews the need to evaluate Pfaffians in the case of overlap of generalized Slater determinants or Hartree-Fock-Bogoliubov type of vacua. The extension of these formulas for calculating either angular momentum or particle projected energy distributions of the reaction fragments are presented as well. The generalization to simultaneous particle and angular momentum projection of various reaction fragment observables is straightforward.

Research Organization:
Texas A & M Univ., College Station, TX (United States)
Sponsoring Organization:
USDOE National Nuclear Security Administration (NNSA); USDOE Office of Science (SC), Nuclear Physics (NP)
Grant/Contract Number:
NA0003841; FG02-97ER41014
OSTI ID:
1608951
Journal Information:
Physical Review C, Vol. 100, Issue 3; ISSN 2469-9985
Publisher:
American Physical Society (APS)Copyright Statement
Country of Publication:
United States
Language:
English
Citation Metrics:
Cited by: 11 works
Citation information provided by
Web of Science

References (23)

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The canonical form of an antisymmetric tensor and its application to the theory of superconductivity journal December 1962
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Angular momentum of fission fragments journal June 2001
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Particle Transfer Reactions with the Time-Dependent Hartree-Fock Theory Using a Particle Number Projection Technique journal November 2010
Matrix elements of one-body and two-body operators between arbitrary HFB multi-quasiparticle states journal June 2014
Number of particles in fission fragments journal August 2019
Grassmann integral and Balian–Brézin decomposition in Hartree–Fock–Bogoliubov matrix elements journal August 2013
Symmetry-projected Hartree–Fock–Bogoliubov equations journal February 2000
Particle transfer reactions with the time-dependent Hartree-Fock theory using a particle number projection technique text January 2010
Symmetry restoration in Hartree-Fock-Bogoliubov based theories text January 2011
Evaluation of overlaps between arbitrary Fermionic quasiparticle vacua text January 2011
Matrix elements of one-body and two-body operators between arbitrary HFB multi-quasiparticle states text January 2013
Why does the sign problem occur in evaluating the overlap of HFB wave functions? text January 2017
Angular momentum of fission fragments text January 2018
Symmetry-Projected Hartree-Fock-Bogoliubov Equations text January 1999

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73 NUCLEAR PHYSICS AND RADIATION PHYSICS