A lattice model of heavy-light three-body system

Abstract

We present a study of a $1+1$ dimensional heavy-light three-body system in finite volume. The heavy-light system is simulated by a coupled-channel ${\varphi }^4$ type lattice model, and both ground state and excited states of multiparticle energy spectra are measured on various lattices. The lattice simulation data analysis is performed based on variational approach.

Comments: The missing relativistic kinematic normalization factors due to pair-wise interaction when third particle behaves as a spectator $⟨p_3|p_3^{\prime }⟩=2E_{p_3}(2\pi )\delta (p_3-p_3^{\prime })$ are installed in the equations in Sec. IV A2 and thereafter. More discussions about missing relativistic kinematic factor have been added in Appendix C2, and Fig.10 is updated