Projection of angular momentum via linear algebra

Johnson, Calvin W.; O'Mara, Kevin D.

doi:10.1103/PhysRevC.96.064304

Title: Projection of angular momentum via linear algebra

Journal Article · Fri Dec 01 00:00:00 EST 2017 · Physical Review C

DOI:https://doi.org/10.1103/PhysRevC.96.064304· OSTI ID:1430220

Johnson, Calvin W. ^[1]; O'Mara, Kevin D. ^[1]

San Diego State Univ., San Diego, CA (United States). Dept. of Physics

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.

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Research Organization:: San Diego State Univ., CA (United States)

Sponsoring Organization:: USDOE Office of Science (SC), Nuclear Physics (NP)

Grant/Contract Number:: FG02-03ER41272

OSTI ID:: 1430220

Alternate ID(s):: OSTI ID: 1410865

Journal Information:: Physical Review C, Vol. 96, Issue 6; ISSN 2469-9985

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

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Cited by: 14 works

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References (24)

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Cited By (1)

Convergence and efficiency of angular momentum projection Johnson, Calvin W.; Jiao, Changfeng Journal of Physics G: Nuclear and Particle Physics, Vol. 46, Issue 1 https://doi.org/10.1088/1361-6471/aaee20	journal	November 2018

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