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  • Open Access

Meson-baryon scattering lengths without annihilation diagrams to order p4 in heavy baryon chiral perturbation theory

Jing Ou-Yang1, Ke Wang1, and Bo-Lin Huang1,2,*

  • 1School of Physical Science and Technology, and Inner Mongolia Key Laboratory of Microscale Physics and Atomic Manufacturing, Inner Mongolia University, Hohhot 010021, China
  • 2Research Center for Quantum Physics and Technologies, Inner Mongolia University, Hohhot 010021, China

  • *Contact author: blhuang@imu.edu.cn
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Phys. Rev. D 112, 076007 – Published 8 October, 2025

DOI: https://doi.org/10.1103/dcp6-xvd1

Abstract

We calculate the threshold T matrices of the meson and baryon processes that have no annihilation diagrams: π+Σ+, π+Ξ0, K+p, K+n, and K¯0Ξ0 to the fourth order in heavy baryon chiral perturbation theory. By performing least-squares and Bayesian fits to the nonphysical lattice QCD data, we determine the low-energy constants through both perturbative and nonperturbative iterative methods. By using these low-energy constants, we obtain the physical scattering lengths in these fits. The convergence behavior is not good across all channels in the perturbative method. The scattering lengths for the five channels, obtained by taking the median values from four different fitting approaches, are aπ+Σ+=−0.16±0.07  fm, aπ+Ξ0=−0.04±0.04  fm, aK+p=−0.41±0.11  fm, aK+n=−0.19±0.10  fm, and aK¯0Ξ0=−0.30±0.07  fm, where the uncertainties are conservatively estimated by taking the maximum deviation between the median and extreme values of the statistical errors.

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Phys. Rev. D 112, 076007– Published 8 October, 2025
  • Received 3 July 2025
  • Accepted 20 September 2025
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