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Title: Projection of angular momentum via linear algebra

Projection of many-body states with good angular momentum from an initial state is usually accomplished by a three-dimensional integral. Here, we show how projection can instead be done by solving a straightforward system of linear equations. We demonstrate the method and give sample applications to $$^{48}$$Cr and $$^{60}$$Fe in the $pf$ shell. This new projection scheme, which is competitive against the standard numerical quadrature, should also be applicable to other quantum numbers such as isospin and particle number.
Authors:
 [1] ;  [1]
  1. San Diego State Univ., San Diego, CA (United States). Dept. of Physics
Publication Date:
Grant/Contract Number:
FG02-03ER41272
Type:
Accepted Manuscript
Journal Name:
Physical Review C
Additional Journal Information:
Journal Volume: 96; Journal Issue: 6; Journal ID: ISSN 2469-9985
Publisher:
American Physical Society (APS)
Research Org:
San Diego State Univ., San Diego, CA (United States)
Sponsoring Org:
USDOE Office of Science (SC), Nuclear Physics (NP) (SC-26)
Country of Publication:
United States
Language:
English
Subject:
73 NUCLEAR PHYSICS AND RADIATION PHYSICS; mean-field; angular momentum projection
OSTI Identifier:
1430220
Alternate Identifier(s):
OSTI ID: 1410865

Johnson, Calvin W., and O'Mara, Kevin D.. Projection of angular momentum via linear algebra. United States: N. p., Web. doi:10.1103/PhysRevC.96.064304.
Johnson, Calvin W., & O'Mara, Kevin D.. Projection of angular momentum via linear algebra. United States. doi:10.1103/PhysRevC.96.064304.
Johnson, Calvin W., and O'Mara, Kevin D.. 2017. "Projection of angular momentum via linear algebra". United States. doi:10.1103/PhysRevC.96.064304.
@article{osti_1430220,
title = {Projection of angular momentum via linear algebra},
author = {Johnson, Calvin W. and O'Mara, Kevin D.},
abstractNote = {Projection of many-body states with good angular momentum from an initial state is usually accomplished by a three-dimensional integral. Here, we show how projection can instead be done by solving a straightforward system of linear equations. We demonstrate the method and give sample applications to $^{48}$Cr and $^{60}$Fe in the $pf$ shell. This new projection scheme, which is competitive against the standard numerical quadrature, should also be applicable to other quantum numbers such as isospin and particle number.},
doi = {10.1103/PhysRevC.96.064304},
journal = {Physical Review C},
number = 6,
volume = 96,
place = {United States},
year = {2017},
month = {12}
}