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Title: Art of spin decomposition

Abstract

We analyze the problem of spin decomposition for an interacting system from a natural perspective of constructing angular-momentum eigenstates. We split, from the total angular-momentum operator, a proper part which can be separately conserved for a stationary state. This part commutes with the total Hamiltonian and thus specifies the quantum angular momentum. We first show how this can be done in a gauge-dependent way, by seeking a specific gauge in which part of the total angular-momentum operator vanishes identically. We then construct a gauge-invariant operator with the desired property. Our analysis clarifies what is the most pertinent choice among the various proposals for decomposing the nucleon spin. A similar analysis is performed for extracting a proper part from the total Hamiltonian to construct energy eigenstates.

Authors:
 [1];  [2]; ;  [3];  [2];  [4]
  1. Department of Physics, Huazhong University of Science and Technology, Wuhan 430074 (China)
  2. (China)
  3. Department of Physics, Nanjing University, and Joint Center for Particle, Nuclear Physics and Cosmology, Nanjing 210093 (China)
  4. Theoretical Division, Los Alamos National Laboratory, Los Alamos, New Mexico 87545 (United States)
Publication Date:
OSTI Identifier:
21537690
Resource Type:
Journal Article
Journal Name:
Physical Review. D, Particles Fields
Additional Journal Information:
Journal Volume: 83; Journal Issue: 7; Other Information: DOI: 10.1103/PhysRevD.83.071901; (c) 2011 American Institute of Physics; Journal ID: ISSN 0556-2821
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; ANGULAR MOMENTUM OPERATORS; DECOMPOSITION; EIGENSTATES; GAUGE INVARIANCE; HAMILTONIANS; NUCLEONS; SPIN; ANGULAR MOMENTUM; BARYONS; CHEMICAL REACTIONS; ELEMENTARY PARTICLES; FERMIONS; HADRONS; INVARIANCE PRINCIPLES; MATHEMATICAL OPERATORS; PARTICLE PROPERTIES; QUANTUM OPERATORS

Citation Formats

Chen Xiangsong, Kavli Institute for Theoretical Physics China, Chinese Academy of Science, Beijing 100190, Sun Weimin, Wang Fan, Kavli Institute for Theoretical Physics China, Chinese Academy of Science, Beijing 100190, and Goldman, T. Art of spin decomposition. United States: N. p., 2011. Web. doi:10.1103/PHYSREVD.83.071901.
Chen Xiangsong, Kavli Institute for Theoretical Physics China, Chinese Academy of Science, Beijing 100190, Sun Weimin, Wang Fan, Kavli Institute for Theoretical Physics China, Chinese Academy of Science, Beijing 100190, & Goldman, T. Art of spin decomposition. United States. doi:10.1103/PHYSREVD.83.071901.
Chen Xiangsong, Kavli Institute for Theoretical Physics China, Chinese Academy of Science, Beijing 100190, Sun Weimin, Wang Fan, Kavli Institute for Theoretical Physics China, Chinese Academy of Science, Beijing 100190, and Goldman, T. Fri . "Art of spin decomposition". United States. doi:10.1103/PHYSREVD.83.071901.
@article{osti_21537690,
title = {Art of spin decomposition},
author = {Chen Xiangsong and Kavli Institute for Theoretical Physics China, Chinese Academy of Science, Beijing 100190 and Sun Weimin and Wang Fan and Kavli Institute for Theoretical Physics China, Chinese Academy of Science, Beijing 100190 and Goldman, T.},
abstractNote = {We analyze the problem of spin decomposition for an interacting system from a natural perspective of constructing angular-momentum eigenstates. We split, from the total angular-momentum operator, a proper part which can be separately conserved for a stationary state. This part commutes with the total Hamiltonian and thus specifies the quantum angular momentum. We first show how this can be done in a gauge-dependent way, by seeking a specific gauge in which part of the total angular-momentum operator vanishes identically. We then construct a gauge-invariant operator with the desired property. Our analysis clarifies what is the most pertinent choice among the various proposals for decomposing the nucleon spin. A similar analysis is performed for extracting a proper part from the total Hamiltonian to construct energy eigenstates.},
doi = {10.1103/PHYSREVD.83.071901},
journal = {Physical Review. D, Particles Fields},
issn = {0556-2821},
number = 7,
volume = 83,
place = {United States},
year = {2011},
month = {4}
}