Analysis of Lattice Baryon Masses in 1/Nc expansion

Conference · Tue Oct 01 04:00:00 EDT 2013

OSTI ID:1989871

Fernando, Ishara ^[1]; Goity, Jose ^[2]

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1. Hampton Univ., Hampton, VA (United States)
2. Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States)

The 1/Nc expansion of QCD is a perturbative and successful framework for the phenomenology of ground state and excited state baryons. As proposed in [1], it is a systematic expansion in powers of 1/Nc and a good approximation, qualitatively and quantitatively, when Nc=3. The 1/Nc expansion has been applied to the ground state baryons including studies of SU(6) spin-flavor symmetry in [2]. A framework was suggested in [3] for excited baryons based on the 1/Nc expansion was implemented and analyzed with the physical masses from the Particle Data Group. And a successful calculation of the spin identified spectrum of Nucleons and Deltas has been carried out in lattice QCD [4]. Using mass operators organized according to the 1/Nc expansion, the analysis of lattice baryon masses has been completed for the negative parity baryons in the multiplet [70,1]? of the SU(6)×O(3) representation, and results for that multiplet and the rest of the multiplets will be presented in this talk.\\[4pt] [1] G. 'tHooft Nucl.Phys.B72, 461(1974).\\[0pt] [2] R.F. Dashen, E.E. Jenkins, and A.V. Manohar Phys.Rev.D51 (1995).\\[0pt] [3] C.E. Carlson, C.D. Carone, J.L. Goity, R.F. Lebed Phys.Rev.D59 (1999).\\[0pt] [4] R.G. Edwards, J.J. Dudek, D.G. Richards, S.J. Wallace Phys.Rev.D84 (2011).

• Research Organization: Thomas Jefferson National Accelerator Facility, Newport News, VA (United States)
• Sponsoring Organization: USDOE Office of Science (SC), Nuclear Physics (NP)
• DOE Contract Number: AC05-06OR23177
• OSTI ID: 1989871
• Report Number(s): JLAB-THY-14-2062; DOE/OR/23177-6738
• Country of Publication: United States
• Language: English