Heavy baryons in the large N c limit

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

doi:10.1016/j.physletb.2015.09.030

Title: Heavy baryons in the large $N_{c}$ limit

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Abstract

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.

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

Publication Date:: Sun Nov 01 00:00:00 EDT 2015

Research Org.:: Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States)

Sponsoring Org.:: USDOE Office of Science (SC), Nuclear Physics (NP)

OSTI Identifier:: 1222236

Alternate Identifier(s):: OSTI ID: 1217532

Report Number(s):: JLAB-THY-15-2102; DOE/OR/23177-3466; arXiv:1507.04667
Journal ID: ISSN 0370-2693; S0370269315007054; PII: S0370269315007054

Grant/Contract Number:: AC05-06OR23177

Resource Type:: Published Article

Journal Name:: Physics Letters B

Additional Journal Information:: Journal Name: Physics Letters B Journal Volume: 750 Journal Issue: C; Journal ID: ISSN 0370-2693

Publisher:: Elsevier

Country of Publication:: Netherlands

Language:: English

Subject:: 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS

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                    Albertus, C., Ruiz Arriola, E., Fernando, I. P., and Goity, J. L. Heavy baryons in the large N c limit.  Netherlands: N. p., 2015. 
Web.  doi:10.1016/j.physletb.2015.09.030.

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                    Albertus, C., Ruiz Arriola, E., Fernando, I. P., & Goity, J. L. Heavy baryons in the large N c limit.  Netherlands.  https://doi.org/10.1016/j.physletb.2015.09.030

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                    Albertus, C., Ruiz Arriola, E., Fernando, I. P., and Goity, J. L. Sun .  
"Heavy baryons in the large N c limit".  Netherlands.  https://doi.org/10.1016/j.physletb.2015.09.030.

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@article{osti_1222236,

  title        = {Heavy baryons in the large N c limit},

  author       = {Albertus, C. and Ruiz Arriola, E. and Fernando, I. P. and Goity, J. L.},

  abstractNote = {It is shown that in the large Nc limit heavy baryon masses can be estimated quantitatively in a 1/Nc 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 Nc. 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/Nc corrections.},

  doi          = {10.1016/j.physletb.2015.09.030},

  journal      = {Physics Letters B},

  number       = C,

  volume       = 750,

  place        = {Netherlands},

  year         = {Sun Nov 01 00:00:00 EDT 2015},

  month        = {Sun Nov 01 00:00:00 EDT 2015}

}

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Title: Heavy baryons in the large N c limit

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Title: Heavy baryons in the large $N_{c}$ limit