SU(3) vector currents in baryon chiral perturbation theory combined with the 1/Nc expansion

Fernando, I. P.; Goity, J. L.

doi:10.1103/PhysRevD.101.054026

Title: $S U (3)$ vector currents in baryon chiral perturbation theory combined with the $1 / N_{c}$ expansion

Journal Article · 17 March 2020 · Physical Review D

DOI: https://doi.org/10.1103/PhysRevD.101.054026 · OSTI ID:1605462

^[1]; Goity, J. L. ^[1]

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

Baryon chiral perturbation theory (BChPT) combined with the $1 / N_{c}$ expansion is applied to the $S U (3)$ vector currents. In terms of the $ξ$ power counting linking the low-energy and $1 / N_{c}$ expansions according to $O (ξ) = O (p) = O (1 / N_{c})$ , the study is carried out to next-to-next-to-leading order, and it includes $S U (3)$ breaking corrections to the $| Δ S | = 1$ vector charges, charge radii, and magnetic moments and radii. The results are obtained for generic $N_{c}$ , allowing for investigating the various scalings in $N_{c}$ .

View Journal Article

Cite

Export

Save

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

Sponsoring Organization:: USDOE Office of Science (SC), Nuclear Physics (NP); National Science Foundation (NSF)

Grant/Contract Number:: AC05-06OR23177; PHY-1307413; PHY-1613951; PHY-1913562

OSTI ID:: 1605462

Alternate ID(s):: OSTI ID: 1605545

Report Number(s):: JLAB-THY-19-3088; arXiv:1911.00987; DOE/OR/23177-4802; PRVDAQ; TRN: US2104447

Journal Information:: Physical Review D, Vol. 101, Issue 5; ISSN 2470-0010

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

Citation Metrics:

Cited by: 4 works

Citation information provided by
Web of Science

References (42)

Nucleon and Δ ( 1232 ) form factors at low momentum transfer and small pion masses Ledwig, T.; Martin-Camalich, J.; Pascalutsa, V. Physical Review D, Vol. 85, Issue 3 https://doi.org/10.1103/PhysRevD.85.034013	journal	February 2012
Electromagnetic moments of the baryon decuplet Butler, Malcolm N.; Savage, Martin J.; Springer, Roxanne P. Physical Review D, Vol. 49, Issue 7 https://doi.org/10.1103/PhysRevD.49.3459	journal	April 1994
Baryon magnetic moments in large- N c chiral perturbation theory Flores-Mendieta, Rubén Physical Review D, Vol. 80, Issue 9 https://doi.org/10.1103/PhysRevD.80.094014	journal	November 2009
Baryon magnetic moments in the expansion Jenkins, Elizabeth; Manohar, Aneesh V. Physics Letters B, Vol. 335, Issue 3-4 https://doi.org/10.1016/0370-2693(94)90377-8	journal	September 1994
Electromagnetic decay of the Σ 0 ( 1385 ) to Λ γ Keller, D.; Hicks, K.; Adhikari, K. P. Physical Review D, Vol. 83, Issue 7 https://doi.org/10.1103/PhysRevD.83.072004	journal	April 2011
Proton and neutron electromagnetic form factors and uncertainties Ye, Zhihong; Arrington, John; Hill, Richard J. Physics Letters B, Vol. 777 https://doi.org/10.1016/j.physletb.2017.11.023	journal	February 2018
Accurate nucleon electromagnetic form factors from dispersively improved chiral effective field theory Alarcón, J. M.; Weiss, C. Physics Letters B, Vol. 784 https://doi.org/10.1016/j.physletb.2018.07.060	journal	September 2018
Baryon magnetic moments in large- N c chiral perturbation theory: Effects of the decuplet-octet mass difference and flavor symmetry breaking Ahuatzin, Giovanna; Flores-Mendieta, Rubén; Hernández-Ruiz, María A. Physical Review D, Vol. 89, Issue 3 https://doi.org/10.1103/PhysRevD.89.034012	journal	February 2014
Branching ratio of the electromagnetic decay of the Σ + ( 1385 ) Keller, D.; Hicks, K.; Adhikari, K. P. Physical Review D, Vol. 85, Issue 5 https://doi.org/10.1103/PhysRevD.85.052004	journal	March 2012
Octet baryon magnetic moments from lattice QCD: Approaching experiment from a three-flavor symmetric point Parreño, Assumpta; Savage, Martin J.; Tiburzi, Brian C. Physical Review D, Vol. 95, Issue 11 https://doi.org/10.1103/PhysRevD.95.114513	journal	June 2017
Baryon vector current in the chiral and 1 / N c expansions Flores-Mendieta, Rubén; Goity, José L. Physical Review D, Vol. 90, Issue 11 https://doi.org/10.1103/PhysRevD.90.114008	journal	December 2014
Complete analysis of baryon magnetic moments in the 1 / N c expansion Lebed, Richard F.; Martin, Daniel R. Physical Review D, Vol. 70, Issue 1 https://doi.org/10.1103/PhysRevD.70.016008	journal	July 2004
Nucleon form factors in dispersively improved chiral effective field theory. II. Electromagnetic form factors Alarcón, J. M.; Weiss, C. Physical Review C, Vol. 97, Issue 5 https://doi.org/10.1103/PhysRevC.97.055203	journal	May 2018
Strange nucleon electromagnetic form factors from lattice QCD Alexandrou, C.; Constantinou, M.; Hadjiyiannakou, K. Physical Review D, Vol. 97, Issue 9 https://doi.org/10.1103/PhysRevD.97.094504	journal	May 2018
The form factors of the nucleon at small momentum transfer Bernard, Véronique; Fearing, Harold W.; Hemmert, Thomas R. Nuclear Physics A, Vol. 635, Issue 1-2 https://doi.org/10.1016/S0375-9474(98)00175-4	journal	May 1998
Chiral dynamics and peripheral transverse densities Granados, C.; Weiss, C. Journal of High Energy Physics, Vol. 2014, Issue 1 https://doi.org/10.1007/JHEP01(2014)092	journal	January 2014
Dispersion analysis of the nucleon form factors including meson continua Belushkin, M. A.; Hammer, H. -W.; Meißner, Ulf-G. Physical Review C, Vol. 75, Issue 3 https://doi.org/10.1103/PhysRevC.75.035202	journal	March 2007
Chiral perturbation theory analysis of the baryon magnetic moments Jenkins, Elizabeth; Luke, Michael; Manohar, Aneesh V. Physics Letters B, Vol. 302, Issue 4 https://doi.org/10.1016/0370-2693(93)90430-P	journal	April 1993
Magnetic Moment of the Δ ( 1232 ) Resonance in Chiral Effective-Field Theory Pascalutsa, Vladimir; Vanderhaeghen, Marc Physical Review Letters, Vol. 94, Issue 10 https://doi.org/10.1103/PhysRevLett.94.102003	journal	March 2005
Leading-order decuplet contributions to the baryon magnetic moments in chiral perturbation theory Geng, L. S.; Camalich, J. Martin; Vacas, M. J. Vicente Physics Letters B, Vol. 676, Issue 1-3 https://doi.org/10.1016/j.physletb.2009.04.061	journal	June 2009
Light-front representation of chiral dynamics with Δ isobar and large-N c relations Granados, C.; Weiss, C. Journal of High Energy Physics, Vol. 2016, Issue 6 https://doi.org/10.1007/JHEP06(2016)075	journal	June 2016
S EMILEPTONIC H YPERON D ECAYS Cabibbo, Nicola; Swallow, Earl C.; Winston, Roland Annual Review of Nuclear and Particle Science, Vol. 53, Issue 1 https://doi.org/10.1146/annurev.nucl.53.013103.155258	journal	December 2003
Flavor symmetry breaking in the 1/ N c expansion Dai, Jin; Dashen, Roger; Jenkins, Elizabeth Physical Review D, Vol. 53, Issue 1 https://doi.org/10.1103/PhysRevD.53.273	journal	January 1996
Chiral Lagrangian for baryons in the 1 N c expansion Jenkins, Elizabeth Physical Review D, Vol. 53, Issue 5 https://doi.org/10.1103/PhysRevD.53.2625	journal	March 1996
Review of Particle Physics Tanabashi, M.; Hagiwara, K.; Hikasa, K. Physical Review D, Vol. 98, Issue 3 https://doi.org/10.1103/PhysRevD.98.030001	journal	August 2018
Baryon magnetic moments in a simultaneous expansion in 1/ N and m s Luty, Markus A.; March-Russell, John; White, Martin Physical Review D, Vol. 51, Issue 5 https://doi.org/10.1103/PhysRevD.51.2332	journal	March 1995
Novel evaluation of the two-pion contribution to the nucleon isovector form factors Belushkin, M. A.; Hammer, H. -W.; Meißner, Ulf-G. Physics Letters B, Vol. 633, Issue 4-5 https://doi.org/10.1016/j.physletb.2005.12.053	journal	February 2006
Baryon masses and axial couplings in the combined 1 / N c and chiral expansions Cordón, A. Calle; Goity, J. L. Physical Review D, Vol. 87, Issue 1 https://doi.org/10.1103/PhysRevD.87.016019	journal	January 2013
Advances in Nuclear Physics, Volume 27 Negele, J. W.; Vogt, E. W. Advances in Nuclear Physics https://doi.org/10.1007/b100519	book	January 2003
Electromagnetic structure of the lowest-lying decuplet resonances in covariant chiral perturbation theory Geng, L. S.; Camalich, J. Martin; Vacas, M. J. Vicente Physical Review D, Vol. 80, Issue 3 https://doi.org/10.1103/PhysRevD.80.034027	journal	August 2009
Dirac form factors and electric charge radii of baryons in the combined chiral and 1 / N c expansions Flores-Mendieta, Rubén; Rivera-Ruiz, Mayra Alejandra Physical Review D, Vol. 92, Issue 9 https://doi.org/10.1103/PhysRevD.92.094026	journal	November 2015
Implications of anomaly constraints in the N c extended standard model Shrock, Robert Physical Review D, Vol. 53, Issue 11 https://doi.org/10.1103/PhysRevD.53.6465	journal	June 1996
Lattice calculation of the magnetic moments of Δ and Ω − baryons with dynamical clover fermions Aubin, C.; Orginos, K.; Pascalutsa, V. Physical Review D, Vol. 79, Issue 5 https://doi.org/10.1103/PhysRevD.79.051502	journal	March 2009
Baryon masses and σ terms in SU(3) BChPT × 1/Nc Fernando, I. P.; Alarcón, J. M.; Goity, J. L. Physics Letters B, Vol. 781 https://doi.org/10.1016/j.physletb.2018.04.054	journal	June 2018
Updated dispersion-theoretical analysis of the nucleon electromagnetic form factors Hammer, H. -W.; Meißner, Ulf-G The European Physical Journal A, Vol. 20, Issue 3 https://doi.org/10.1140/epja/i2003-10223-y	journal	June 2004
SU(3) breaking in hyperon transition vector form factors Shanahan, P. E.; Cooke, A. N.; Horsley, R. Physical Review D, Vol. 92, Issue 7 https://doi.org/10.1103/PhysRevD.92.074029	journal	October 2015
Baryon charge radii and quadrupole moments in the 1 / N c expansion: The 3-flavor case Buchmann, Alfons J.; Lebed, Richard F. Physical Review D, Vol. 67, Issue 1 https://doi.org/10.1103/PhysRevD.67.016002	journal	January 2003
Peripheral transverse densities of the baryon octet from chiral effective field theory and dispersion analysis Alarcón, J. M.; Hiller Blin, A. N.; Vicente Vacas, M. J. Nuclear Physics A, Vol. 964 https://doi.org/10.1016/j.nuclphysa.2017.05.002	journal	August 2017
Chiral perturbation theory analysis of the baryon magnetic moments reexamined Durand, Loyal; Ha, Phuoc Physical Review D, Vol. 58, Issue 1 https://doi.org/10.1103/PhysRevD.58.013010	journal	May 1998
Baryon magnetic moments in the 1 / N c expansion with flavor symmetry breaking Jenkins, Elizabeth Physical Review D, Vol. 85, Issue 6 https://doi.org/10.1103/PhysRevD.85.065007	journal	March 2012
The E2/M1 and C2/M1 ratios and form factors in N→Δ transitions Tiator, L.; Drechsel, D.; Hanstein, O. Nuclear Physics A, Vol. 689, Issue 1-2 https://doi.org/10.1016/S0375-9474(01)00835-1	journal	June 2001
corrections to the baryon axial currents in QCD Dashen, Roger; Manohar, Aneesh V. Physics Letters B, Vol. 315, Issue 3-4 https://doi.org/10.1016/0370-2693(93)91637-3	journal	October 1993