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.
- 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. doi: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
- Einstein, A.; Podolsky, B.; Rosen, N.
- Physical Review, Vol. 47, Issue 10
Generator coordinate method applied to nuclei in the transition region
journal, May 1966
- Onishi, Naoki; Yoshida, Shiro
- Nuclear Physics, Vol. 80, Issue 2
Symmetry Restoration in Hartree-Fock-Bogoliubov Based Theories
journal, January 2012
- Bertsch, G. F.; Robledo, L. M.
- Physical Review Letters, Vol. 108, Issue 4
Angular momentum of fission fragments
journal, March 2019
- Bertsch, G. F.; Kawano, T.; Robledo, L. M.
- Physical Review C, Vol. 99, Issue 3
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
Renormalization of the Hartree-Fock-Bogoliubov Equations in the Case of a Zero Range Pairing Interaction
journal, January 2002
- Bulgac, Aurel; Yu, Yongle
- Physical Review Letters, Vol. 88, Issue 4
Evaluation of overlaps between arbitrary fermionic quasiparticle vacua
journal, March 2012
- Avez, B.; Bender, M.
- Physical Review C, Vol. 85, Issue 3
The canonical form of an antisymmetric tensor and its application to the theory of superconductivity
journal, December 1962
- Bloch, Claude; Messiah, Albert
- Nuclear Physics, Vol. 39
Why does the sign problem occur in evaluating the overlap of HFB wave functions?
journal, April 2018
- Mizusaki, Takahiro; Oi, Makito; Shimizu, Noritaka
- Physics Letters B, Vol. 779
Angular momentum of fission fragments
journal, June 2001
- Mikhailov, I. N.; Quentin, P.; Briançon, Ch.
- Physics of Atomic Nuclei, Vol. 64, Issue 6
Sign of the overlap of Hartree-Fock-Bogoliubov wave functions
journal, February 2009
- Robledo, L. M.
- Physical Review C, Vol. 79, Issue 2
Particle Transfer Reactions with the Time-Dependent Hartree-Fock Theory Using a Particle Number Projection Technique
journal, November 2010
- Simenel, Cédric
- Physical Review Letters, Vol. 105, Issue 19
Matrix elements of one-body and two-body operators between arbitrary HFB multi-quasiparticle states
journal, June 2014
- Hu, Qing-Li; Gao, Zao-Chun; Chen, Y. S.
- Physics Letters B, Vol. 734
Number of particles in fission fragments
journal, August 2019
- Verriere, Marc; Schunck, Nicolas; Kawano, Toshihiko
- Physical Review C, Vol. 100, Issue 2
Grassmann integral and Balian–Brézin decomposition in Hartree–Fock–Bogoliubov matrix elements
journal, August 2013
- Mizusaki, Takahiro; Oi, Makito; Chen, Fang-Qi
- Physics Letters B, Vol. 725, Issue 1-3
Symmetry-projected Hartree–Fock–Bogoliubov equations
journal, February 2000
- Sheikh, Javid A.; Ring, Peter
- Nuclear Physics A, Vol. 665, Issue 1-2
Particle transfer reactions with the time-dependent Hartree-Fock theory using a particle number projection technique
text, January 2010
- Simenel, Cédric
- arXiv
Symmetry restoration in Hartree-Fock-Bogoliubov based theories
text, January 2011
- Bertsch, G. F.; Robledo, L. M.
- arXiv
Evaluation of overlaps between arbitrary Fermionic quasiparticle vacua
text, January 2011
- Avez, Benoît; Bender, Michael
- arXiv
Matrix elements of one-body and two-body operators between arbitrary HFB multi-quasiparticle states
text, January 2013
- Hu, Qing-Li; Gao, Zao-Chun; Chen, Y. S.
- arXiv
Why does the sign problem occur in evaluating the overlap of HFB wave functions?
text, January 2017
- Mizusaki, Takahiro; Oi, Makito; Shimizu, Noritaka
- arXiv
Angular momentum of fission fragments
text, January 2018
- Bertsch, G. F.; Kawano, T.; Robledo, Lm.
- arXiv
Symmetry-Projected Hartree-Fock-Bogoliubov Equations
text, January 1999
- Sheikh, Javid A.; Ring, Peter
- arXiv
Works referencing / citing this record:
Fission dynamics of from saddle to scission and beyond
journal, September 2019
- Bulgac, Aurel; Jin, Shi; Roche, Kenneth J.
- Physical Review C, Vol. 100, Issue 3
Counting statistics in finite Fermi systems: Illustrations with the atomic nucleus
journal, January 2020
- Lacroix, Denis; Ayik, Sakir
- Physical Review C, Vol. 101, Issue 1