CHIRAL PROPERTIES OF BARYON INTERPOLATING FIELDS

Author:

DMITRAŠINOVIĆ V.1,NAGATA KEITARO2,HOSAKA ATSUSHI3

Affiliation:

1. Vinča Institute, lab 010, P. O. Box 522, 11001 Belgrade, Serbia

2. Department of Physics, Chung-Yuan Christian University, Chung-Li 320, Taiwan

3. Research Center for Nuclear Physics, Osaka University Mihogaoka 10-1, Ibaraki 567-0047, Japan

Abstract

We study the chiral transformation properties of all possible local (non-derivative) interpolating field operators for baryons consisting of three quarks with two flavors, assuming good isospin symmetry. We derive and use the relations/identities among the baryon operators with identical quantum numbers that follow from the combined color, Dirac and isospin Fierz transformations. These relations reduce the number of independent baryon operators with any given spin and isospin. The Fierz identities also effectively restrict allowed baryon chiral multiplets. It turns out that the chiral multiplets of the baryons are equivalent to their Lorentz representation.

Publisher

World Scientific Pub Co Pte Lt

Subject

General Physics and Astronomy,Astronomy and Astrophysics,Nuclear and High Energy Physics

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