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Title: Projection of good quantum numbers for reaction fragments

Abstract

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.

Authors:
ORCiD logo [1]
  1. Univ. of Washington, Seattle, WA (United States)
Publication Date:
Research Org.:
Texas A & M Univ., College Station, TX (United States)
Sponsoring Org.:
USDOE National Nuclear Security Administration (NNSA); USDOE Office of Science (SC), Nuclear Physics (NP)
OSTI Identifier:
1608951
Grant/Contract Number:  
NA0003841; FG02-97ER41014
Resource Type:
Accepted Manuscript
Journal Name:
Physical Review C
Additional Journal Information:
Journal Volume: 100; Journal Issue: 3; 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

Bulgac, Aurel. Projection of good quantum numbers for reaction fragments. United States: N. p., 2019. Web. https://doi.org/10.1103/PhysRevC.100.034612.
Bulgac, Aurel. Projection of good quantum numbers for reaction fragments. United States. https://doi.org/10.1103/PhysRevC.100.034612
Bulgac, Aurel. Mon . "Projection of good quantum numbers for reaction fragments". United States. https://doi.org/10.1103/PhysRevC.100.034612. https://www.osti.gov/servlets/purl/1608951.
@article{osti_1608951,
title = {Projection of good quantum numbers for reaction fragments},
author = {Bulgac, Aurel},
abstractNote = {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.},
doi = {10.1103/PhysRevC.100.034612},
journal = {Physical Review C},
number = 3,
volume = 100,
place = {United States},
year = {2019},
month = {9}
}

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Works referenced in this record:

Can Quantum-Mechanical Description of Physical Reality Be Considered Complete?
journal, May 1935


The canonical form of an antisymmetric tensor and its application to the theory of superconductivity
journal, December 1962


Nonunitary bogoliubov transformations and extension of Wick’s theorem
journal, November 1969

  • Balian, R.; Brezin, E.
  • Il Nuovo Cimento B Series 10, Vol. 64, Issue 1
  • DOI: 10.1007/BF02710281

Renormalization of the Hartree-Fock-Bogoliubov Equations in the Case of a Zero Range Pairing Interaction
journal, January 2002


Why does the sign problem occur in evaluating the overlap of HFB wave functions?
journal, April 2018


Generator coordinate method applied to nuclei in the transition region
journal, May 1966


Symmetry-projected Hartree–Fock–Bogoliubov equations
journal, February 2000


Sign of the overlap of Hartree-Fock-Bogoliubov wave functions
journal, February 2009


Number of particles in fission fragments
journal, August 2019


Angular momentum of fission fragments
journal, March 2019


Matrix elements of one-body and two-body operators between arbitrary HFB multi-quasiparticle states
journal, June 2014


Evaluation of overlaps between arbitrary fermionic quasiparticle vacua
journal, March 2012


Grassmann integral and Balian–Brézin decomposition in Hartree–Fock–Bogoliubov matrix elements
journal, August 2013


Symmetry Restoration in Hartree-Fock-Bogoliubov Based Theories
journal, January 2012


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