Eur. Phys. J. A (2020) 56: 93
https://doi.org/10.1140/epja/s10050-020-00078-z

Regular Article - Theoretical Physics

Baryon–baryon interactions at short distances: constituent quark model meets lattice QCD

¹ Department of Physics and Institute of Physics and Applied Physics, Yonsei University, Seoul, 03722, Korea
² College of Bioresource Sciences, Nihon University, Kanagawa, 252-0880, Japan
³ Quantum Hadron Physics Laboratory, RIKEN Nishina Center, Wako, 351-0198, Japan
⁴ Interdisciplinary Theoretical and Mathematical Sciences Program (iTHEMS), RIKEN, Wako, 351-0198, Japan

^* e-mail: suhoung@yonsei.ac.kr

Received: 8 October 2019
Accepted: 28 January 2020
Published online: 20 March 2020

Abstract

The interaction energies between two baryons at short distance in different flavor channels are calculated from the constituent quark model (CQM) and are compared with the recent lattice QCD (LQCD) results for baryon–baryon potentials at short distance. We consider the six-quark system with two strange quarks and focus on the quantum numbers, (Flavor, Spin) = (1, 0), (8, 1), (10, 1), (, 1) and (27, 0). The interaction energy is defined by subtracting out isolated baryon masses and relative kinetic energy of two baryons from the total energy of a compact six-quark state. We introduce interaction energy ratio between different flavors as a useful measure to test the prediction of CQM. We find that the ratios in CQM show good agreement with those in LQCD, which indicates that the short range part of the baryon-baryon interaction can be understood qualitatively in terms of the Pauli principle and spin-dependent color interaction among constituent quarks.