Baryon masses and σ terms in SU(3) BChPT × 1/Nc

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

doi:10.1016/j.physletb.2018.04.054

Title: Baryon masses and σ terms in SU(3) BChPT × 1/Nc

Abstract

Baryon masses and nucleon $$\sigma$$ terms are studied with the effective theory that combines the chiral and $$1/N_c$$ expansions for three flavors. In particular the connection between the deviation of the Gell-Mann-Okubo relation and the $$\sigma$$ term associated with the scalar density $$\bar u u+\bar d d-2\bar s s$$ is emphasized. The latter is at lowest order related to a mass combination whose low value has given rise to a $$\sigma$$ term puzzle. It is shown that while the nucleon $$\sigma$$ terms have a well behaved low energy expansion, that mass combination is affected by large higher order corrections non-analytic in quark masses. Lastly, adding to the analysis lattice QCD baryon masses, it is found that $$\sigma_{\pi N}=69(10)$$~MeV and $$\sigma_s$$ has natural magnitude within its relative large uncertainty.

Authors:: Fernando, I. P.; Alarcón, J. M.; Goity, J. L.

Publication Date:: Fri Jun 01 00:00:00 EDT 2018

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

Sponsoring Org.:: USDOE Office of Science (SC), Nuclear Physics (NP); National Science Foundation (NSF); European Commission (EC)

OSTI Identifier:: 1437874

Alternate Identifier(s):: OSTI ID: 1454732

Report Number(s):: JLAB-THY-18-2679; DOE/OR/-23177-4397
Journal ID: ISSN 0370-2693; S0370269318303484; PII: S0370269318303484

Grant/Contract Number:: FPA2016-77313-P; PHY-1613951; PHY-1307413; AC05-06OR23177

Resource Type:: Published Article

Journal Name:: Physics Letters B

Additional Journal Information:: Journal Name: Physics Letters B Journal Volume: 781 Journal Issue: C; Journal ID: ISSN 0370-2693

Publisher:: Elsevier

Country of Publication:: Netherlands

Language:: English

Subject:: 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; Sigma terms; Nucleon mass; Baryon masses; Gell-Mann–Okubo; mass formula

Citation Formats


                    Fernando, I. P., Alarcón, J. M., and Goity, J. L. Baryon masses and σ terms in SU(3) BChPT × 1/Nc.  Netherlands: N. p., 2018. 
Web.  doi:10.1016/j.physletb.2018.04.054.

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                    Fernando, I. P., Alarcón, J. M., & Goity, J. L. Baryon masses and σ terms in SU(3) BChPT × 1/Nc.  Netherlands.  https://doi.org/10.1016/j.physletb.2018.04.054

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                    Fernando, I. P., Alarcón, J. M., and Goity, J. L. Fri .  
"Baryon masses and σ terms in SU(3) BChPT × 1/Nc".  Netherlands.  https://doi.org/10.1016/j.physletb.2018.04.054.

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@article{osti_1437874,

  title        = {Baryon masses and σ terms in SU(3) BChPT × 1/Nc},

  author       = {Fernando, I. P. and Alarcón, J. M. and Goity, J. L.},

  abstractNote = {Baryon masses and nucleon $\sigma$ terms are studied with the effective theory that combines the chiral and $1/N_c$ expansions for three flavors. In particular the connection between the deviation of the Gell-Mann-Okubo relation and the $\sigma$ term associated with the scalar density $\bar u u+\bar d d-2\bar s s$ is emphasized. The latter is at lowest order related to a mass combination whose low value has given rise to a $\sigma$ term puzzle. It is shown that while the nucleon $\sigma$ terms have a well behaved low energy expansion, that mass combination is affected by large higher order corrections non-analytic in quark masses. Lastly, adding to the analysis lattice QCD baryon masses, it is found that $\sigma_{\pi N}=69(10)$~MeV and $\sigma_s$ has natural magnitude within its relative large uncertainty.},

  doi          = {10.1016/j.physletb.2018.04.054},

  journal      = {Physics Letters B},

  number       = C,

  volume       = 781,

  place        = {Netherlands},

  year         = {Fri Jun 01 00:00:00 EDT 2018},

  month        = {Fri Jun 01 00:00:00 EDT 2018}

}

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Cited by: 9 works

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Figures / Tables:

Fig. 1: Left panel: summary of the determinations of σ_{π N} from π N scattering (blue), from LQCD (red), and from this work showing the combined fit and theoretical error. Right panel: N and masses from Fit 2 of Table 1: physical and LQCD masses from [32]. The squares aremore »

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Works referenced in this record:

Is $SU (2) \otimes SU (2)$ a Better Symmetry than SU(3)?
journal, March 1971

Cheng, T. P.; Dashen, Roger
Physical Review Letters, Vol. 26, Issue 10
DOI: 10.1103/PhysRevLett.26.594

Adler-Weisberger Theorem Reexamined
journal, November 1971

Brown, Lowell S.; Pardee, W. J.; Peccei, R. D.
Physical Review D, Vol. 4, Issue 9
DOI: 10.1103/PhysRevD.4.2801

Remarks on the pion–nucleon σ-term
journal, September 2016

Hoferichter, Martin; Ruiz de Elvira, Jacobo; Kubis, Bastian
Physics Letters B, Vol. 760
DOI: 10.1016/j.physletb.2016.06.038

The strangeness content of the nucleon from effective field theory and phenomenology
journal, March 2014

Alarcón, J. M.; Geng, L. S.; Martin Camalich, J.
Physics Letters B, Vol. 730
DOI: 10.1016/j.physletb.2014.01.065

Behavior of Current Divergences under ${SU}_{3} \times {SU}_{3}$
journal, November 1968

Gell-Mann, Murray; Oakes, R. J.; Renner, B.
Physical Review, Vol. 175, Issue 5
DOI: 10.1103/PhysRev.175.2195

Chiral Lagrangian for baryons in the $\frac{1}{N_{c}}$ expansion
journal, March 1996

Jenkins, Elizabeth
Physical Review D, Vol. 53, Issue 5
DOI: 10.1103/PhysRevD.53.2625

Roy–Steiner-equation analysis of pion–nucleon scattering
journal, April 2016

Hoferichter, Martin; Ruiz de Elvira, Jacobo; Kubis, Bastian
Physics Reports, Vol. 625
DOI: 10.1016/j.physrep.2016.02.002

Lattice Computation of the Nucleon Scalar Quark Contents at the Physical Point
journal, April 2016

Durr, S.; Fodor, Z.; Hoelbling, C.
Physical Review Letters, Vol. 116, Issue 17
DOI: 10.1103/PhysRevLett.116.172001

Baryon spectrum with $N_{f} = 2 + 1 + 1$ twisted mass fermions
journal, October 2014

Alexandrou, C.; Drach, V.; Jansen, K.
Physical Review D, Vol. 90, Issue 7
DOI: 10.1103/PhysRevD.90.074501

Form factor of the σ-term
journal, January 1991

Gasser, J.; Leutwyler, H.; Sainio, M. E.
Physics Letters B, Vol. 253, Issue 1-2
DOI: 10.1016/0370-2693(91)91394-B

Implications for relic neutralinos of the theoretical uncertainties in the neutralino–nucleon cross section
journal, May 2000

Bottino, A.; Donato, F.; Fornengo, N.
Astroparticle Physics, Vol. 13, Issue 2-3
DOI: 10.1016/S0927-6505(99)00122-X

Light hadron spectroscopy using domain wall valence quarks on an asqtad sea
journal, March 2009

Walker-Loud, A.; Lin, H. -W.; Richards, D. G.
Physical Review D, Vol. 79, Issue 5
DOI: 10.1103/PhysRevD.79.054502

Sigma-term update
journal, January 1991

Gasser, J.; Leutwyler, H.; Sainio, M. E.
Physics Letters B, Vol. 253, Issue 1-2
DOI: 10.1016/0370-2693(91)91393-A

Model discriminating power of $μ \to e$ conversion in nuclei
journal, July 2009

Cirigliano, Vincenzo; Kitano, Ryuichiro; Okada, Yasuhiro
Physical Review D, Vol. 80, Issue 1
DOI: 10.1103/PhysRevD.80.013002

Extracting the pion-nucleon sigma-term from data
journal, October 1988

Gasser, J.; Leutwyler, H.; Locher, M. P.
Physics Letters B, Vol. 213, Issue 1
DOI: 10.1016/0370-2693(88)91052-0

Baryon chiral perturbation theory combined with the $1 / N_{c}$ expansion in SU(3): Framework
journal, March 2018

Fernando, I. P.; Goity, J. L.
Physical Review D, Vol. 97, Issue 5
DOI: 10.1103/PhysRevD.97.054010

Systematic expansion for spin particles in baryon chiral perturbation theory
journal, March 1997

Hemmert, Thomas R.; Holstein, Barry R.; Kambor, Joachim
Physics Letters B, Vol. 395, Issue 1-2
DOI: 10.1016/S0370-2693(97)00049-X

Chiral representation of the $π N$ scattering amplitude and the pion-nucleon sigma term
journal, March 2012

Alarcón, J. M.; Camalich, J. Martin; Oller, J. A.
Physical Review D, Vol. 85, Issue 5
DOI: 10.1103/PhysRevD.85.051503

Size of the neutralino–nucleon cross-section in the light of a new determination of the pion–nucleon sigma term
journal, October 2002

Bottino, A.; Donato, F.; Fornengo, N.
Astroparticle Physics, Vol. 18, Issue 2
DOI: 10.1016/S0927-6505(02)00107-X

Hadronic uncertainties in the elastic scattering of supersymmetric dark matter
journal, March 2008

Ellis, John; Olive, Keith A.; Savage, Christopher
Physical Review D, Vol. 77, Issue 6
DOI: 10.1103/PhysRevD.77.065026

$SU (3)$ symmetry breaking in hyperon semileptonic decays
journal, October 1998

Flores-Mendieta, Rubén; Jenkins, Elizabeth; Manohar, Aneesh V.
Physical Review D, Vol. 58, Issue 9
DOI: 10.1103/PhysRevD.58.094028

Renormalization of the baryon axial vector current in large- $N_{c}$ chiral perturbation theory: Effects of the decuplet-octet mass difference and flavor symmetry breaking
journal, November 2012

Flores-Mendieta, Rubén; Hernández-Ruiz, María A.; Hofmann, Christoph P.
Physical Review D, Vol. 86, Issue 9
DOI: 10.1103/PhysRevD.86.094041

Heavy baryon chiral perturbation theory with light deltas
journal, October 1998

Hemmert, Thomas R.; Holstein, Barry R.; Kambor, Joachim
Journal of Physics G: Nuclear and Particle Physics, Vol. 24, Issue 10
DOI: 10.1088/0954-3899/24/10/003

Direct Evaluation of the Quark Content of Nucleons from Lattice QCD at the Physical Point
journal, June 2016

Abdel-Rehim, A.; Alexandrou, C.; Constantinou, M.
Physical Review Letters, Vol. 116, Issue 25
DOI: 10.1103/PhysRevLett.116.252001

Figures / Tables found in this record:

Fig. 1 (p. 3)

Table 1 (p. 3)

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Similar Records

Title: Baryon masses and σ terms in SU(3) BChPT × 1/Nc

Abstract

Citation Formats

Figures / Tables:

Is SU ( 2 ) ⊗ SU ( 2 ) a Better Symmetry than SU(3)? journal, March 1971

Adler-Weisberger Theorem Reexamined journal, November 1971

Remarks on the pion–nucleon σ-term journal, September 2016

The strangeness content of the nucleon from effective field theory and phenomenology journal, March 2014

Behavior of Current Divergences under SU 3 × SU 3 journal, November 1968

Chiral Lagrangian for baryons in the 1 N c expansion journal, March 1996

Roy–Steiner-equation analysis of pion–nucleon scattering journal, April 2016

Lattice Computation of the Nucleon Scalar Quark Contents at the Physical Point journal, April 2016

Baryon spectrum with N f = 2 + 1 + 1 twisted mass fermions journal, October 2014

Form factor of the σ-term journal, January 1991

Implications for relic neutralinos of the theoretical uncertainties in the neutralino–nucleon cross section journal, May 2000

Light hadron spectroscopy using domain wall valence quarks on an asqtad sea journal, March 2009

Sigma-term update journal, January 1991

Model discriminating power of μ → e conversion in nuclei journal, July 2009

Extracting the pion-nucleon sigma-term from data journal, October 1988

Baryon chiral perturbation theory combined with the 1 / N c expansion in SU(3): Framework journal, March 2018

Systematic expansion for spin particles in baryon chiral perturbation theory journal, March 1997

Chiral representation of the π N scattering amplitude and the pion-nucleon sigma term journal, March 2012

Size of the neutralino–nucleon cross-section in the light of a new determination of the pion–nucleon sigma term journal, October 2002

Hadronic uncertainties in the elastic scattering of supersymmetric dark matter journal, March 2008

SU ( 3 ) symmetry breaking in hyperon semileptonic decays journal, October 1998

Renormalization of the baryon axial vector current in large- N c chiral perturbation theory: Effects of the decuplet-octet mass difference and flavor symmetry breaking journal, November 2012

Heavy baryon chiral perturbation theory with light deltas journal, October 1998

Direct Evaluation of the Quark Content of Nucleons from Lattice QCD at the Physical Point journal, June 2016

Title: Baryon masses and σ terms in SU(3) BChPT × 1/Nc

Is $SU (2) \otimes SU (2)$ a Better Symmetry than SU(3)?
journal, March 1971

Adler-Weisberger Theorem Reexamined
journal, November 1971

Remarks on the pion–nucleon σ-term
journal, September 2016

The strangeness content of the nucleon from effective field theory and phenomenology
journal, March 2014

Behavior of Current Divergences under ${SU}_{3} \times {SU}_{3}$
journal, November 1968

Chiral Lagrangian for baryons in the $\frac{1}{N_{c}}$ expansion
journal, March 1996

Roy–Steiner-equation analysis of pion–nucleon scattering
journal, April 2016

Lattice Computation of the Nucleon Scalar Quark Contents at the Physical Point
journal, April 2016

Baryon spectrum with $N_{f} = 2 + 1 + 1$ twisted mass fermions
journal, October 2014

Form factor of the σ-term
journal, January 1991

Implications for relic neutralinos of the theoretical uncertainties in the neutralino–nucleon cross section
journal, May 2000

Light hadron spectroscopy using domain wall valence quarks on an asqtad sea
journal, March 2009

Sigma-term update
journal, January 1991

Model discriminating power of $μ \to e$ conversion in nuclei
journal, July 2009

Extracting the pion-nucleon sigma-term from data
journal, October 1988

Baryon chiral perturbation theory combined with the $1 / N_{c}$ expansion in SU(3): Framework
journal, March 2018

Systematic expansion for spin particles in baryon chiral perturbation theory
journal, March 1997

Chiral representation of the $π N$ scattering amplitude and the pion-nucleon sigma term
journal, March 2012

Size of the neutralino–nucleon cross-section in the light of a new determination of the pion–nucleon sigma term
journal, October 2002

Hadronic uncertainties in the elastic scattering of supersymmetric dark matter
journal, March 2008

$SU (3)$ symmetry breaking in hyperon semileptonic decays
journal, October 1998

Renormalization of the baryon axial vector current in large- $N_{c}$ chiral perturbation theory: Effects of the decuplet-octet mass difference and flavor symmetry breaking
journal, November 2012

Heavy baryon chiral perturbation theory with light deltas
journal, October 1998

Direct Evaluation of the Quark Content of Nucleons from Lattice QCD at the Physical Point
journal, June 2016