Baryon masses at second order in chiral perturbation theory

Richard F. Lebed; Markus A. Luty

doi:10.1016/0370-2693(94)91093-6

Baryon masses at second order in chiral perturbation theory

Richard F. Lebed, Markus A. Luty

Research output: Contribution to journal › Article › peer-review

26 Scopus citations

Abstract

We analyze the octet baryon mass differences up to second order in chiral perturbation theory, including the effects of decupletintermediate states. We show that the Coleman-Glashow relation has computable corrections of order (m_m-m_u)m_s. Thesecorrections are numerically small, and in agreement with the data. We also show that corrections to the Σ equal-spacing rule aredominated by electromagnetic contributions, and that the Gell-Mann-Okubo formula has non-analytic corrections of order m_s²In m_s which cannot be computed from known matrix elements. We also show that the baryon masses cannot be used to extractmodel-independent information about the current quark masses.

Original language	English (US)
Pages (from-to)	479-485
Number of pages	7
Journal	Physics Letters B
Volume	329
Issue number	4
DOIs	https://doi.org/10.1016/0370-2693(94)91093-6
State	Published - Jun 23 1994
Externally published	Yes

ASJC Scopus subject areas

Nuclear and High Energy Physics

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@article{2e3b466864b64cb2a1d0bccd60d36b2f,

title = "Baryon masses at second order in chiral perturbation theory",

abstract = "We analyze the octet baryon mass differences up to second order in chiral perturbation theory, including the effects of decupletintermediate states. We show that the Coleman-Glashow relation has computable corrections of order (mm-mu)ms. Thesecorrections are numerically small, and in agreement with the data. We also show that corrections to the Σ equal-spacing rule aredominated by electromagnetic contributions, and that the Gell-Mann-Okubo formula has non-analytic corrections of order ms2In ms which cannot be computed from known matrix elements. We also show that the baryon masses cannot be used to extractmodel-independent information about the current quark masses.",

author = "Lebed, {Richard F.} and Luty, {Markus A.}",

note = "Funding Information: We would like to thank R. Rattazzi, R. Sundrum and M. Suzuki for useful discussions. This work was supported by the Director, Office of Energy Research, Office of High Energy and Nuclear Physics, Division of High Energy Physics of the U.S. Department of Energy under Contract DE-AC03-76SF00098.",

year = "1994",

month = jun,

day = "23",

doi = "10.1016/0370-2693(94)91093-6",

language = "English (US)",

volume = "329",

pages = "479--485",

journal = "Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics",

issn = "0370-2693",

publisher = "Elsevier",

number = "4",

}

TY - JOUR

T1 - Baryon masses at second order in chiral perturbation theory

AU - Lebed, Richard F.

AU - Luty, Markus A.

N1 - Funding Information: We would like to thank R. Rattazzi, R. Sundrum and M. Suzuki for useful discussions. This work was supported by the Director, Office of Energy Research, Office of High Energy and Nuclear Physics, Division of High Energy Physics of the U.S. Department of Energy under Contract DE-AC03-76SF00098.

PY - 1994/6/23

Y1 - 1994/6/23

N2 - We analyze the octet baryon mass differences up to second order in chiral perturbation theory, including the effects of decupletintermediate states. We show that the Coleman-Glashow relation has computable corrections of order (mm-mu)ms. Thesecorrections are numerically small, and in agreement with the data. We also show that corrections to the Σ equal-spacing rule aredominated by electromagnetic contributions, and that the Gell-Mann-Okubo formula has non-analytic corrections of order ms2In ms which cannot be computed from known matrix elements. We also show that the baryon masses cannot be used to extractmodel-independent information about the current quark masses.

AB - We analyze the octet baryon mass differences up to second order in chiral perturbation theory, including the effects of decupletintermediate states. We show that the Coleman-Glashow relation has computable corrections of order (mm-mu)ms. Thesecorrections are numerically small, and in agreement with the data. We also show that corrections to the Σ equal-spacing rule aredominated by electromagnetic contributions, and that the Gell-Mann-Okubo formula has non-analytic corrections of order ms2In ms which cannot be computed from known matrix elements. We also show that the baryon masses cannot be used to extractmodel-independent information about the current quark masses.

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UR - http://www.scopus.com/inward/citedby.url?scp=0010786426&partnerID=8YFLogxK

U2 - 10.1016/0370-2693(94)91093-6

DO - 10.1016/0370-2693(94)91093-6

M3 - Article

AN - SCOPUS:0010786426

VL - 329

SP - 479

EP - 485

JO - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics

JF - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics

SN - 0370-2693

IS - 4

ER -

Baryon masses at second order in chiral perturbation theory

Abstract

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