Heavy baryons in the large $N_c$ limit

Journal Article · Sun Nov 01 00:00:00 EDT 2015 · Physics Letters B

DOI:https://doi.org/10.1016/j.physletb.2015.09.030· OSTI ID:1222236

Albertus, C.; Ruiz Arriola, E.; Fernando, I. P.; Goity, J. L.

It is shown that in the large N_c limit heavy baryon masses can be estimated quantitatively in a 1/N_c expansion using the Hartree approximation. The results are compared with available lattice calculations for different values of the ratio between the square root of the string tension and the heavy quark mass tension independent of N_c. Using a potential adjusted to agree with the one obtained in lattice QCD, a variational analysis of the ground state spin averaged baryon mass is performed using Gaussian Hartree wave functions. Relativistic corrections through the quark kinetic energy are included. Lastly, the results provide good estimates for the first sub-leading in 1/N_c corrections.

• Research Organization: Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States)
• Sponsoring Organization: USDOE Office of Science (SC), Nuclear Physics (NP)
• Grant/Contract Number: AC05-06OR23177
• OSTI ID: 1222236
• Alternate ID(s): OSTI ID: 1217532
• Report Number(s): JLAB-THY-15-2102; DOE/OR/23177-3466; arXiv:1507.04667; S0370269315007054; PII: S0370269315007054
• Journal Information: Physics Letters B, Journal Name: Physics Letters B Vol. 750 Journal Issue: C; ISSN 0370-2693
• Publisher: Elsevier
• Country of Publication: Netherlands
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS