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Generalized L\"uscher's Formula in Multichannel Baryon-Baryon Scattering
In this paper, L\"uscher's formula is generalized to the case of two
spin- particles in two-channel scattering based on Ref.
\cite{Li:2012bi}. This is first done in a non-relativistic quantum mechanics
model and then generalized to quantum field theory. We show that L\"uscher's
formula obtained from these two different methods are equivalent up to terms
that are exponentially suppressed in the box size. This formalism can be
readily applied to future lattice QCD calculations.Comment: Introduction expanded and references added. 10 pages, no figure
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