Baryon magnetic moment in large- Nc chiral perturbation theory: Complete analysis for Nc=3 Article uri icon

abstract

  • Baryon magnetic moments are computed in baryon chiral perturbation theory in the large-Nc limit at one-loop order, where Nc is the number of color charges. Orders O(mq1/2) and O(mqlnmq) corrections are both evaluated including all the operator structures that participate at the physical value Nc=3. The complete expressions for octet and decuplet baryon magnetic moments in addition to octet-octet and decuplet-octet baryon transition moments are thus compared to their available counterparts obtained in heavy baryon chiral perturbation theory for degenerate intermediate baryons in the loops. Theoretical expressions fully agree at the physical values Nc=3 and Nf=3 flavors of light quarks. Some numerical evaluations are produced via a least-squares fit to explore the free parameters in the analysis. Results point out the necessity of incorporating the effects of nondegenerate intermediate baryons in the loops for a consistent determination of these free parameters. © 2021 authors. Published by the American Physical Society. Published by the American Physical Society under the terms of the https://creativecommons.org/licenses/by/4.0/Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article%27s title, journal citation, and DOI. Funded by SCOAP3.
  • Baryon magnetic moments are computed in baryon chiral perturbation theory in the large-Nc limit at one-loop order, where Nc is the number of color charges. Orders O(mq1/2) and O(mqlnmq) corrections are both evaluated including all the operator structures that participate at the physical value Nc=3. The complete expressions for octet and decuplet baryon magnetic moments in addition to octet-octet and decuplet-octet baryon transition moments are thus compared to their available counterparts obtained in heavy baryon chiral perturbation theory for degenerate intermediate baryons in the loops. Theoretical expressions fully agree at the physical values Nc=3 and Nf=3 flavors of light quarks. Some numerical evaluations are produced via a least-squares fit to explore the free parameters in the analysis. Results point out the necessity of incorporating the effects of nondegenerate intermediate baryons in the loops for a consistent determination of these free parameters. © 2021 authors. Published by the American Physical Society. Published by the American Physical Society under the terms of the https://creativecommons.org/licenses/by/4.0/Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article's title, journal citation, and DOI. Funded by SCOAP3.

publication date

  • 2021-01-01