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Angular Momentum Analysis of Spin 1/2 x 1/2 Scattering including Singlet-Triplet Mixing

Nuclear Theory 2009-09-25 v1

Abstract

The angular momentum (partial wave) reduction of the Lippmann--Schwinger equation describing the interaction of two spin 1/2 particles is extended to the case in which the spin singlet and triplet states are coupled. A straight forward method for obtaining the angular momentum decomposition of the general potential is indicated. The derived formalism is needed to describe the interaction between two nonidentical spin--1/2 particles or between two nucleons when isospin symmetry is violated. The resulting modification of the Stapp phase--shift analysis is given.

Keywords

Cite

@article{arxiv.nucl-th/9303013,
  title  = {Angular Momentum Analysis of Spin 1/2 x 1/2 Scattering including Singlet-Triplet Mixing},
  author = {T. Mefford and R. H. Landau},
  journal= {arXiv preprint arXiv:nucl-th/9303013},
  year   = {2009}
}

Comments

16 pages