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

Huang, Bo-Lin; Li, Yun-De

doi:10.1103/physrevd.92.114033

Cited by 10 publications

(6 citation statements)

References 54 publications

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“…For processes involving kaons or hyperons, the situation becomes more involved, since one has to work out the consequences of three-flavor chiral dynamics. In a previous paper [26] we have investigated KN and KN elastic scattering up to one-loop order in SU(3) HBχPT by fitting low-energy constants to partial-wave phase shifts of KN -scattering and obtained quite reasonable results. This approach was then extended by predicting the amplitudes of pseudoscalar-meson octetbaryon scattering in all channels, with the pertinent low-energy constants fitted to partial-wave phase shifts of elastic πN and KN scattering [27].…”

Section: Introductionmentioning

confidence: 84%

Pion-nucleon scattering to O(p3) in heavy baryon SU(3) chiral perturbation theory

Huang

Ouyang

2020

Phys. Rev. D

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We calculate the T-matrices of elastic pion-nucleon (πN) scattering up to fourth order in SU(3) heavy baryon chiral perturbation theory. The baryon mass in the chiral limit M0 and the pertinent low-energy constants are determined by fitting to empirical πN phase shifts below 200 MeV pion laboratory momentum in the physical region. The scattering lengths and scattering volumes are also extracted from the chiral amplitudes, and turn out to be in good agreement with those of other approaches and the available experimental values. On the basis of the various phase shifts and the threshold parameters, the convergence of the chiral expansion is analyzed in detail. A good convergence for πN scattering observables is obtained when working up to fourth order. In addition, we extend the fit to 250 MeV pion laboratory momentum, and obtain also a good description of the empirical Sand P-wave phase shifts.

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Section: Introductionmentioning

confidence: 84%

Pion-nucleon scattering to O(p3) in heavy baryon SU(3) chiral perturbation theory

Huang

Ouyang

2020

Phys. Rev. D

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“…We studied the KN and KN scattering to one-loop order in SU (3) HBχPT by fitting to partial-wave phase shifts of KN scattering and obtained reasonable results in Ref. [24]. Then, we extended this approach to predictions for pseudoscalar meson octet-baryon scattering in all channels [25].…”

Section: Introductionmentioning

confidence: 87%

Pion-nucleon scattering to $\mathcal{O}(p^3)$ in heavy baryon SU(3) chiral perturbation theory

Huang,

Ou-Yang

2019

Preprint

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We calculate the complete T-matrices of pion-nucleon (πN ) scattering to the third order in heavy baryon SU(3)-flavor chiral perturbation theory. The baryon mass in the chiral limit M0 and the low-energy constants (LECs) are determined by fitting to phase shifts of πN and the experimental octet-baryon masses, simultaneously. By using these constants, we obtain the pion-and strangeness-nucleon sigma terms, σπN = (55.49 ± 3.61) MeV and σsN = (77.66 ± 43.65) MeV, respectively. With the two σ-term values, we find that a small strangeness content of the proton, y = 0.12 ± 0.07. The scattering lengths and the scattering volumes are predicted, which turn out to be in good agreement with those of other approaches and available experiment data. The contributions from the third order amplitudes are discussed in detail. We find that the contributions from the internal kaon lines of one-loop diagrams and the counterterms of the third order are sizeable. In addition, the issue of convergence is also discussed in detail.

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“…From refs. [40,41,42,43,44,45,46,47], it turned out that the calculations in SU (3) HBChPT can also lead to reasonable predictions.…”

Section: Introductionmentioning

confidence: 97%

Light pseudoscalar meson and heavy meson scattering lengths to $\mathcal{O}(p^4)$ in heavy meson chiral perturbation theory

Huang,

Lin,

Zhu

2021

Preprint

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We calculate the threshold T matrices of the light pseudoscalar meson and heavy meson scattering to fourth order in heavy meson chiral perturbation theory. We determine the lowenergy constants by fitting to the lattice QCD data points through both the perturbative and iterated methods and obtain the physical scattering lengths in both formalisms. The values of the scattering lengths tend to be convergent at fourth order for most of the channels in the perturbative method. The value of the scattering length for the channel DK(I = 0), which involves the bound state D * s0 (2317), is obtained correctly in the iterated method. Based on the heavy diquark-antiquark symmetry, we also estimate the meson and doubly charmed (bottom) baryon scattering lengths, and find that the bound states can be generated with high probability in the channels KΞcc(I = 0) and KΞ bb (I = 0). We strongly urge the LHCb collaboration to look for the very narrow KΞcc state with IJ P = 0 1 2 − through either the electromagnetic decay or the iso-spin violating strong decay Ωccπ.

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

Cited by 10 publications

References 54 publications

Pion-nucleon scattering to O(p3) in heavy baryon SU(3) chiral perturbation theory

Pion-nucleon scattering to O(p3) in heavy baryon SU(3) chiral perturbation theory

Pion-nucleon scattering to $\mathcal{O}(p^3)$ in heavy baryon SU(3) chiral perturbation theory

Light pseudoscalar meson and heavy meson scattering lengths to $\mathcal{O}(p^4)$ in heavy meson chiral perturbation theory

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