Meson-baryon effective chiral Lagrangians to Script O(<i>q</i><sup>3</sup>)

We perform a chiral extrapolation of the baryon octet and decuplet masses in a relativistic formulation of chiral perturbation theory. A partial summation is assumed as implied by the use of physical baryon and meson masses in the one-loop diagrams. Upon a chiral expansion, our results are consistent with strict chiral perturbation theory at the next-to-next-to-next-to-leading order.All counter terms are correlated by a large-N c operator analysis. Our results are confronted with recent results of unquenched three-flavor lattice simulations. We adjust the parameter set to the pion-mass dependence of the nucleon and omega masses as computed by the BMW Collaboration and predict the pion-mass dependence of the remaining baryon octet and decuplet states. The current lattice simulations can be described accurately and smoothly up to pion masses of about 600 MeV. In particular, we recover the recent results of HSC without any further adjustments.

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“…[7,13,[30][31][32][33][34]. We recall the terms relevant for our work using the notation and conventions of Refs.…”

Section: Chiral Lagrangian With Baryon Octet and Decuplet Fieldsmentioning

confidence: 99%

Quark-mass dependence of the baryon ground-state masses

2012

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“…[23], the method of Ref. [22], integrating explicitly the q 0 variable in the loops and using relativistic propagators, corresponds to a coupled channel Bethe Salpeter equation, and most of the recent works on the topic [4,5,24,25,26,27,28,29] adhere to this method and this nomenclature.…”

Section: Unitary Chiral Theory and The Dynamical Generation Of Thementioning

confidence: 99%

“…(1), are assumed to account for effects of higher order Lagrangians. There is, however, a caveat in this assumption because in chiral perturbation theory the loop terms contribute to order Q 3 for the case of meson-baryon interaction (the counting is different in the meson-meson interaction), while there are chiral Lagrangians of order Q 2 that would not be accounted for by means of the subtraction constants [3,26,27,29]. The effects of using different f i are also technically of order Q 3 .…”

Section: Unitary Chiral Theory and The Dynamical Generation Of Thementioning

confidence: 99%

Role of theN(1535)in theJ/ψ→p
Geng
¹
,
Oset
²
,
Zou
³

et al. 2009
Phys. Rev. C*
31
9
20
1
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We study the J/ψ →pηp and J/ψ →pK + Λ reactions with a unitary chiral approach. We find that the unitary chiral approach, which generates the N * (1535) dynamically, can describe the data reasonably well, particularly the ratio of the integrated cross sections. This study provides further support for the unitary chiral description of the N * (1535). We also discuss some subtle differences between the coupling constants determined from the unitary chiral approach and those determined from phenomenological studies.

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“…Meanwhile, the minimal third-order meson-baryon Lagrangian consisting of 78 independent operators has been constructed in Refs. [30,50]. Moreover, the fourth-order meson-baryon chiral Lagrangian has also been constructed, see Ref.…”

Section: Resultsmentioning

confidence: 99%

“…The remaining meson-baryon Lagrangian L (2,ct) φB involves new low-energy constants (LECs) and it can be obtained from the relativistic Lagrangian in Ref. [30]. The pertinent interaction terms read…”

Section: Chiral Lagrangianmentioning

confidence: 99%

Meson-baryon scattering to one-loop order in heavy baryon chiral perturbation theory

Huang

Zhang

et al. 2017

Phys. Rev. D

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We calculate the T-matrices of pseudoscalar meson octet-baryon scattering to one-loop order in SU(3) heavy baryon chiral perturbation theory. The pertinent combinations of lowenergy constants are determined by fitting to phase shifts of πN and KN scattering and the corresponding data. By using these low-energy constants, we obtain the strong phase shift difference of πΛ scattering at the Ξ mass, δP − δS = (8.8 ± 0.2) degrees, in agreement with experimental results. We find that the phase shifts in the S01(πΣ), S01(KΞ), S01(KN ), and S11(KΣ) waves are so strong that resonances may be generated dynamically in all these channels. We also predict the scattering lengths and make comparisons with the results obtained from the threshold T-matrices in heavy baryon chiral perturbation theory and the method of covariant infrared regularization. The issue of convergence is also discussed in detail.

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Meson-baryon effective chiral Lagrangians to Script O(q³)

Cited by 85 publications

References 59 publications

Quark-mass dependence of the baryon ground-state masses

Quark-mass dependence of the baryon ground-state masses

Role of theN(1535)in theJ/ψ→p
Geng
¹
,
Oset
²
,
Zou
³

et al. 2009
Phys. Rev. C*
31
9
20
1
View full text Add to dashboard Cite

Meson-baryon scattering to one-loop order in heavy baryon chiral perturbation theory

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Meson-baryon effective chiral Lagrangians to Script O(q3)

Cited by 85 publications

References 59 publications

Quark-mass dependence of the baryon ground-state masses

Quark-mass dependence of the baryon ground-state masses

Role of theN*(1535)in theJ/ψ→pGeng1, Oset2, Zou3 et al. 2009Phys. Rev. C319201View full textAdd to dashboardCite

Meson-baryon scattering to one-loop order in heavy baryon chiral perturbation theory

Contact Info

Product

Resources

About

Meson-baryon effective chiral Lagrangians to Script O(q³)

Role of theN(1535)in theJ/ψ→p
Geng
¹
,
Oset
²
,
Zou
³

et al. 2009
Phys. Rev. C*
31
9
20
1
View full text Add to dashboard Cite