Projection of angular momentum via linear algebra
Abstract
Projection of manybody states with good angular momentum from an initial state is usually accomplished by a threedimensional 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:

 San Diego State Univ., San Diego, CA (United States). Dept. of Physics
 Publication Date:
 Research Org.:
 San Diego State Univ., San Diego, CA (United States)
 Sponsoring Org.:
 USDOE Office of Science (SC), Nuclear Physics (NP) (SC26)
 OSTI Identifier:
 1430220
 Alternate Identifier(s):
 OSTI ID: 1410865
 Grant/Contract Number:
 FG0203ER41272
 Resource Type:
 Accepted Manuscript
 Journal Name:
 Physical Review C
 Additional Journal Information:
 Journal Volume: 96; Journal Issue: 6; Journal ID: ISSN 24699985
 Publisher:
 American Physical Society (APS)
 Country of Publication:
 United States
 Language:
 English
 Subject:
 73 NUCLEAR PHYSICS AND RADIATION PHYSICS; meanfield; angular momentum projection
Citation Formats
Johnson, Calvin W., and O'Mara, Kevin D. Projection of angular momentum via linear algebra. United States: N. p., 2017.
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. Fri .
"Projection of angular momentum via linear algebra". United States. doi:10.1103/PhysRevC.96.064304. https://www.osti.gov/servlets/purl/1430220.
@article{osti_1430220,
title = {Projection of angular momentum via linear algebra},
author = {Johnson, Calvin W. and O'Mara, Kevin D.},
abstractNote = {Projection of manybody states with good angular momentum from an initial state is usually accomplished by a threedimensional 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}
}
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