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Decay of rho and a1 mesons on the lattice using distillation · Around

2011

Decay of rho and a1 mesons on the lattice using distillation

Prelovsek, S., Lang, C. B., Mohler, D. et al.

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We extract the P-wave pi-pi phase shift for five values of pion relative momenta, which gives information on the rho resonance.

The Breit-Wigner formula describes the pi-pi phase shift dependence nicely and we extract m(rho)=792(7)(8) MeV and the coupling g_{\rho\pi\pi}=5.13(20) at our mpi=266 MeV.
We extract the P-wave scattering length a_{l=1}^{\pi\pi}=0.082(10)(3) fm^3 from the state with the lowest pion relative momenta.
We also determine the S-wave rho-pi phase shift for two values of relative momenta, which provides parameters of the lowest axial resonance a1(1260).

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