Meson-baryon scattering to one-loop order in heavy baryon chiral perturbation theory
| Autor: | Huang, Bo-Lin, Zhang, Jin-Sheng, Li, Yun-De, Kaiser, Norbert |
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| Rok vydání: | 2017 |
| Předmět: | |
| Zdroj: | Phys. Rev. D 96, 016021 (2017) |
| Druh dokumentu: | Working Paper |
| DOI: | 10.1103/PhysRevD.96.016021 |
| Popis: | 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 low-energy constants are determined by fitting to phase shifts of $\pi N$ and $K N$ scattering and the corresponding data. By using these low-energy constants, we obtain the strong phase shift difference of $\pi \Lambda$ scattering at the $\Xi$ mass, $\delta_P-\delta_S=(8.8 \pm 0.2)$ degrees, in agreement with experimental results. We find that the phase shifts in the $S_{01}$($\pi \Sigma$), $S_{01}$($K \Xi$), $S_{01}$($\overline{K} N$), and $S_{11}$($\overline{K} \Sigma$) 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. Comment: 25 pages, 8 figures, 1 table |
| Databáze: | arXiv |
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