PT Journal
AU Roca, L
   Oset, E
TI Scattering of unstable particles in a finite volume: The case of pi rho scattering and the a(1)(1260) resonance
SO Physical Review D
JI Phys. Rev. D
PY 2012
BP 054507
EP 13pp
VL 85
IS 5
DI 10.1103/PhysRevD.85.054507
LA English
AB We present a way to evaluate the scattering of unstable particles quantized in a finite volume with the aim of extracting physical observables for infinite volume from lattice data. We illustrate the method with the pi rho scattering which generates dynamically the axial-vector a(1)(1260) resonance. Energy levels in a finite box are evaluated both considering the rho as a stable and unstable resonance and we find significant differences between both cases. We discuss how to solve the problem to get the physical scattering amplitudes in the infinite volume, and hence phase shifts, from possible lattice results on energy levels quantized inside a finite box.
ER