Relativistic, model-independent, multichannel transition amplitudes in a finite volume
Raúl A. Briceño🇺🇸 · Maxwell T. Hansen🇩🇪
We derive formalism for determining infinite-volume transition amplitudes from finite-volume matrix elements. Specifically, we present a relativistic, model-independent relation between finite-volume matrix elements of external currents and the physically observable infinite-volume matrix elements involving two-particle asymptotic states. The result presented holds for states composed of two scalar bosons. These can be identical or non-identical and, in the latter case, can be either degenerate or non-degenerate. We further accommodate any number of strongly-coupled two-scalar channels. This formalism will, for example, allow future lattice QCD calculations of the -meson form factor, in which the unstable nature of the is rigorously accommodated.