Rummukainen-Gottlieb’s formula on two-particle system with different mass
نویسنده
چکیده
Lüscher established a non-perturbative formula to extract the elastic scattering phases from twoparticle energy spectrum in a torus using lattice simulations. Rummukainen and Gottlieb further extend it to the moving frame, which is devoted to the system of two identical particles. In this work, we generalize Rummukainen-Gottlieb’s formula to the generic two-particle system where two particles are explicitly distinguishable, namely, the masses of the two particles are different. The finite size formula are achieved for both C4v and C2v symmetries. Our analytical results will be very helpful for the study of some resonances, such as kappa, vector kaon, and so on.
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