corner
corner

Phys. Rev. D 59, 031901(R) (1999) [3 pages]

Chiral multiplets of large-Nc ground state baryons

Download: PDF (100 kB) Buy this article Export: BibTeX or EndNote (RIS)

S. R. Beane*
Department of Physics, University of Maryland, College Park, Maryland 20742-4111

Received 15 September 1998; published 7 January 1999

I show that in the large-Nc limit the ground state baryons with helicity λ fall into an ((Nc-2λ)/4,(Nc+2λ)/4) irreducible representation of SU(2)×SU(2). This representation determines the absolute normalization of the ground state baryon axial vector couplings at large Nc. Results map precisely to (spin-flavor) SU(4) results. For instance, I find gA=(Nc+2)/3. As a consequence of this multiplet structure, chiral symmetry forbids pion transitions between the ground state baryons and other baryon towers in the large-Nc limit.

© 1999 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevD.59.031901
DOI:
10.1103/PhysRevD.59.031901
PACS:
11.30.Rd, 11.15.Pg, 12.38.Aw

*Email address: sbeane@physics.umd.edu