Generalized Lüscher’s formula in multichannel baryon-baryon scattering

Ning Li, Song-Yuan Li, and Chuan Liu
Phys. Rev. D 90, 034509 – Published 28 August 2014

Abstract

In this paper, Lüscher’s formula is generalized to the case of two spin-12 particles in two-channel scattering based on our previous work [Phys. Rev. D 87, 014502 (2013)]. This is first done in a nonrelativistic quantum mechanics model and then generalized to the quantum field theory. We show that Lüscher’s formulas obtained from these two different methods are equivalent up to terms that are exponentially suppressed in the box size. This formalism can be readily applied to future lattice QCD calculations in nucleon-nucleon or nucleon-hyperon scattering processes.

  • Received 1 February 2014

DOI:https://doi.org/10.1103/PhysRevD.90.034509

© 2014 American Physical Society

Authors & Affiliations

Ning Li1,*, Song-Yuan Li1, and Chuan Liu2,3,†

  • 1School of Physics, Peking University, Beijing 100871, People’s Republic of China
  • 2School of Physics and Center for High Energy Physics, Peking University, Beijing 100871, People’s Republic of China
  • 3Collaborative Innovation Center of Quantum Matter, Beijing 100871, People’s Republic of China

  • *On leave from School of Science, Xi’an Technological University, Xi’An 710032, People’s Republic of China.
  • Corresponding author. liuchuan@pku.edu.cn

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Issue

Vol. 90, Iss. 3 — 1 August 2014

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