Three-particle system in a finite volume

2020 ◽  
Author(s):  
Jin-Yi Pang
Keyword(s):  
Finite Volume ◽  
Particle System

scholarly journals Three-particle system in a finite volume: formalism, quantization condition, spectrum and energy shift

2020 ◽  
Vol 241 ◽  
pp. 02005
Author(s):  
Jin-Yi Pang
Keyword(s):  
Finite Volume ◽  
Bound States ◽  
Particle System ◽  
Energy Shift ◽  
Effective Field ◽  
Quantization Condition ◽  
High Current ◽  
Scattering States ◽  
Three Body ◽  
Hadronic Process

Lattice QCD calculations provide an ab initio access to hadronic process. These calculations are usu ally performed in a small cubic volume with periodic boundary conditions. The infinite volume extrapolations for three-body systems are indispensable to understand many systems of high current interest. We derive the three-body quantization condition in a finite volume using an effective field theory in the particle-dimer picture. Our work shows a powerful and transparent method to read off three-body physical observables from lattice simulations. In this paper, we review the formalism, quantization condition, spectrum analysis and energy shifts calculation both for 3-body bound states and scattering states.

scholarly journals Energy shift of the three-particle system in a finite volume

2019 ◽  
Vol 99 (7) ◽  
Author(s):  
Jin-Yi Pang ◽  
Jia-Jun Wu ◽  
Hans-Werner Hammer ◽  
Ulf-G. Meißner ◽  
Akaki Rusetsky
Keyword(s):  
Finite Volume ◽  
Particle System ◽  
Energy Shift

Finite volume and spectral methods applied to Pb-30%TI alloy solidification

2001 ◽  
Vol 11 (PR6) ◽  
pp. Pr6-151-Pr6-159 ◽  
Author(s):  
R. Guérin ◽  
M. El Ganaoui ◽  
P. Haldenwang ◽  
P. Bontoux
Keyword(s):  
Finite Volume ◽  
Spectral Methods ◽  
Ti Alloy ◽  
Alloy Solidification

MODELING OF A TURBULENT ETHYLENE/AIR JET FLAME USING HYBRID FINITE VOLUME/MONTE CARLO METHODS

2009 ◽  
Vol 1 (1) ◽  
pp. 37-53 ◽  
Author(s):  
Ranjan S. Mehta ◽  
Anquan Wang ◽  
Michael F. Modest ◽  
Daniel C. Haworth
Keyword(s):  
Monte Carlo ◽  
Finite Volume ◽  
Monte Carlo Methods ◽  
Jet Flame ◽  
Air Jet
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