Scattering of unstable particles in a finite volume: The case of pi rho scattering and the a(1)(1260) resonance
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Scattering of unstable particles in a finite volume: The case of pi rho scattering and the a(1)(1260) resonance

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Scattering of unstable particles in a finite volume: The case of pi rho scattering and the a(1)(1260) resonance

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Roca Zamora, Luis; Oset Báguena, Eulogio Perfil
Aquest document és un/a article, creat/da en: 2012
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 πρ scattering which generates dynamically the axial-vector a1(1260) resonance. Energy levels in a finite box are evaluated both considering the ρ 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.

    Roca Zamora, Luis Oset Báguena, Eulogio 2012 Scattering of unstable particles in a finite volume: The case of pi rho scattering and the a(1)(1260) resonance Physical Review D 85 5 054507
http://dx.doi.org/10.1103/PhysRevD.85.054507
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