Pion-nucleon scattering to 
<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi mathvariant="script">O</mml:mi><mml:mo stretchy="false">(</mml:mo><mml:msup><mml:mi>p</mml:mi><mml:mn>3</mml:mn></mml:msup><mml:mo stretchy="false">)</mml:mo></mml:math>
 in heavy baryon SU(3) chiral perturbation theory

Huang, Bo-Lin; Ouyang, J.

doi:10.1103/physrevd.101.056021

Cited by 12 publications

(7 citation statements)

References 72 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Additional works are listed in Ref. [29] (as well as in a variety of other studies). • Several models, based on hadronic exchanges, were put forward during the last half century or so.…”

Section: Modelling Of the Hadronic Part Of The πN Interactionmentioning

confidence: 99%

What has been learnt from the analysis of the low-energy pion-nucleon data during the past three decades?

Matsinos¹

2022

Preprint

View full text Add to dashboard Cite

Over twenty-five years ago, two analyses of the pion-nucleon (πN ) data at low energy (i.e., for pion laboratory kinetic energy T ≤ 100 MeV) reported on the departure of the extracted scattering amplitudes, corresponding to the two elastic-scattering reactions π ± p → π ± p and to the π − p charge-exchange reaction π − p → π 0 n, from the triangle identity, which these amplitudes fulfil if the isospin invariance holds in the hadronic part of the πN interaction. This discrepancy indicates that at least one of the following assumptions is not valid: first, that the absolute normalisation of the bulk of the low-energy πN datasets is correct; second, that any residual contributions to the corrections, which aim at the removal of the effects of electromagnetic (EM) origin from the measurements, are not significant; and third, that the isospin invariance holds in the hadronic part of the πN interaction. In view of the incompatibility of the results of the various schemes of removal of the so-called trivial EM effects at the πN threshold (T = 0 MeV), the likelihood of residual effects of EM origin in the extracted πN scattering amplitudes (from the data in the scattering region, i.e., above the πN threshold) must be reassessed. This work emphasises the importance of the development of a unified scheme for the determination of reliable EM corrections, applicable at the πN threshold and in the scattering region, in providing a resolution to the established discrepancy at low energy.

show abstract

“…Additional works are listed in Ref. [29] (as well as in a variety of other studies). • Several models, based on hadronic exchanges, were put forward during the last half century or so.…”

Section: Modelling Of the Hadronic Part Of The πN Interactionmentioning

confidence: 99%

What has been learnt from the analysis of the low-energy pion-nucleon data during the past three decades?

Matsinos¹

2022

Preprint

View full text Add to dashboard Cite

show abstract

“…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

Self Cite

View full text Add to dashboard Cite

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.

show abstract

“…Many achievements have been obtained in light flavor hadronic physics using SU(2) HBChPT [7][8][9][10][11][12][13]. Furthermore, the calculations in SU (3) HBChPT can also lead to reasonable predictions [14][15][16][17][18][19][20][21]. The infrared regularization of the covariant baryon ChPT [22] and the extended-on-mass-shell scheme [23,24] for solving the power-counting problem are two popular relativistic approaches and have led to substantial progress in many aspects as documented in refs.…”

Section: Introductionmentioning

confidence: 99%

Phase shifts of the light pseudoscalar meson and heavy meson scattering in heavy meson chiral perturbation theory

Huang,

Lin,

Chen

et al. 2022

Preprint

Self Cite

View full text Add to dashboard Cite

We calculate the complete T matrices of the elastic light pseudoscalar meson and heavy meson scattering to the third order in heavy meson chiral perturbation theory. We determine the low-energy constants by fitting to the phase shifts and scattering lengths from the lattice QCD simulations simultaneously and predict the phase shifts at the physical meson masses. The phase shifts in the Dπ(I = 1/2), DK(I = 0), D K(I = 0), Ds K, Dη and Dsη S waves are so strong that bound states or resonances may be generated dynamically in all these channels. The DK(I = 0) channel corresponds to the well-known exotic state D * s0 (2317). The coupled-channel Dπ, Dη and Ds K scattering corresponds to the D * 0 (2400). We also predict the scattering lengths and scattering volumes and observe a good convergence in the P waves and scattering volumes. Our calculations provide a possibility to accurately investigate the exotic state in the light pseudoscalar meson and heavy meson interactions.

show abstract

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

Cited by 12 publications

References 72 publications

What has been learnt from the analysis of the low-energy pion-nucleon data during the past three decades?

What has been learnt from the analysis of the low-energy pion-nucleon data during the past three decades?

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

Phase shifts of the light pseudoscalar meson and heavy meson scattering in heavy meson chiral perturbation theory

Contact Info

Product

Resources

About