Sigma Terms and Strangeness Contents of Baryon Octet in Modified Chiral Perturbation Theory

Xiao-Ya, Li; Xiao-Fu, Lü

doi:10.1088/0253-6102/46/6/019

Cited by 2 publications

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“…Similar to the isospin symmetric form introduced in Ref. [5,12], the kinetic energy term of Goldstone…”

Section: Goldstone Bosonsmentioning

confidence: 99%

“…We extend the method used in Ref. [5], where we have constructed the chiral effective Lagrangian for Goldstone bosons and 0 η in consideration of the difference between strange and non-strange quark condensate. Through solving the mass equations of the nonet pseudoscalar meson (the mixing was considered first), quark mass ratios and quark condensate ratioss can be determined.…”

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confidence: 99%

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QUARK MASS RATIOS AND MASS SPLIT OF π⁰-π^±INChPTWITH THE DIFFERENCE OF QUARK CONDENSATES CONSIDERED

Xiao-Ya

Wang

Chen

et al. 2008

Int. J. Mod. Phys. A

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The chiral effective Lagrangian for pseudoscalar nonet is constructed in consideration of isospin breaking. And the difference of quark condensates is taken accounted.The SU(3) singlet 0 η is not taken as Goldstone-boson. The η mixing with and without isospin symmetry is considered. The quark mass ratios are obtained through solving the mass equations of mesons. We estimate the change of quark mass ratios according to the change of and to see how the electromagnetic corrections affect our results. It turn out that massless up quark is possible. The upper limit for is around 0.39.The values for , quark condensate ratios and other constants are limited in narrow ranges. 0 η M PACS numbers: 12.39.Fe, 14.65.Bt, 14.40.AqKeywords: quark mass ratios, quark condensate, η mixing, chiral perturbation theory ). Previous work in this field ignored the latter and the mass expressions of turned out to be the same [2]. It was explained that the difference between the pionic masses was exclusively generated by electromagnetic interaction , which means that the isospin breaking has no effect on mesonic mass in QCD sector. It is unreasonable.The electromagnetic (EM) corrections for pions and kaons were discussed in Ref.[4], where the correction for pions was comparable to the experimental mass difference. But the result has an uncertainty of 30%. ± π π and 0 * The project is supported in part by Key Research Plan of theoretical Physics and Cross Science of China under Grant No.90503011 , , , . MeV M 136 0 = π MeV M 548 = η MeV M 958 = ′ η

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“…Similar to the isospin symmetric form introduced in Ref. [5,12], the kinetic energy term of Goldstone…”

Section: Goldstone Bosonsmentioning

confidence: 99%

mentioning

confidence: 99%

QUARK MASS RATIOS AND MASS SPLIT OF π⁰-π^±INChPTWITH THE DIFFERENCE OF QUARK CONDENSATES CONSIDERED

Xiao-Ya

Wang

Chen

et al. 2008

Int. J. Mod. Phys. A

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Masses and Widths of Light Scalar Mesons in Chiral Perturbation Theory

Chen

Xiao-Ya

Xiao-Fu

2008

Commun. Theor. Phys.

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Based on the diquark model, we assume that the light scalar mesons are q2q̄2 states rather than qq̄. The chiral effective Lagrangian for the light scalar meson is constructed, and the mass relations are obtained: the isotriplet (a0) and the isosinglet (f0) are the heaviest and are degenerate, the isodoublets (κ) are heavier and the other isosinglet (σ) is the lightest; and 2Mκ2= Ma02 + Mσ2. Using experimental value for a0 and σ mass, we obtain Mκ = 794 MeV, which is consistent with the experimental value. Then taking Γ(a00 → ηπ0) = 90 MeV and Γ(f00 → π0π0) = 20 MeV, we get the width of σ is: Γ(σ → π+π−) = 150 MeV.

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Sigma Terms and Strangeness Contents of Baryon Octet in Modified Chiral Perturbation Theory

Cited by 2 publications

References 15 publications

QUARK MASS RATIOS AND MASS SPLIT OF π⁰-π^±INChPTWITH THE DIFFERENCE OF QUARK CONDENSATES CONSIDERED

QUARK MASS RATIOS AND MASS SPLIT OF π⁰-π^±INChPTWITH THE DIFFERENCE OF QUARK CONDENSATES CONSIDERED

Masses and Widths of Light Scalar Mesons in Chiral Perturbation Theory

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Sigma Terms and Strangeness Contents of Baryon Octet in Modified Chiral Perturbation Theory

Cited by 2 publications

References 15 publications

QUARK MASS RATIOS AND MASS SPLIT OF π0-π±INChPTWITH THE DIFFERENCE OF QUARK CONDENSATES CONSIDERED

QUARK MASS RATIOS AND MASS SPLIT OF π0-π±INChPTWITH THE DIFFERENCE OF QUARK CONDENSATES CONSIDERED

Masses and Widths of Light Scalar Mesons in Chiral Perturbation Theory

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QUARK MASS RATIOS AND MASS SPLIT OF π⁰-π^±INChPTWITH THE DIFFERENCE OF QUARK CONDENSATES CONSIDERED

QUARK MASS RATIOS AND MASS SPLIT OF π⁰-π^±INChPTWITH THE DIFFERENCE OF QUARK CONDENSATES CONSIDERED