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 $\phi^4$ 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.
Highlights
Much of strong interaction phenomenology manifests itself in few-body systems
We explore the possibility of separating finite-volume and infinite volume dynamics; the two scenarios are connected by interaction potentials instead of scattering amplitudes
Though that framework presents a clean and simple illustration of how the quantization conditions of three-body systems in a finite volume arise, the nonrelativistic nature of the energy-momentum dispersion relation may not be capable of describing the lattice spectra; (2) since the simulation of the lattice model is done in discrete rather than continuous spacetime, there is the effect of finite lattice
Summary
Much of strong interaction phenomenology manifests itself in few-body systems. Due to the many degrees of freedom their quantitative description is more complicated than in the two-body case. Formulating quantization conditions by using reaction amplitudes as input to producing discrete energy spectra or vice versa presents a more conventional foundation of dealing with multiparticle dynamics, one is confronted to deal simultaneously with questions regarding infinite and finite-volume physics. The discretized finite-volume wave functions may be treated as coefficients of secular equations, the quantization condition given by the determinant of secular equations is free of infinite volume reaction amplitudes, and is presented in terms of finitevolume Green’s function and particle interactions. The quantization conditions are applied to extract the parameters of the heavy-light three-body system: the mass of particles and the coupling strength of short-range interactions.
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
