[Jlab-seminars] Theory Center Seminar

[Mary Fox]

Theory Center Seminar
Monday, December 15, 2014, 1:00 p.m.
CEBAF Center, Room L102

Stephen Sharpe
University of Washington

*Extracting Three Particle Scattering Amplitudes from the
Finite Volume Spectrum*
  
Lattice QCD has made significant progress in determining the properties of resonances
which decay predominantly into two-particle channels. This work uses a method, initially
developed by Martin Luscher, in which the spectrum of two-particle states in a finite
spatial box of varying size is related to the infinite volume scattering amplitudes.
However, many resonances decay also to three-particle channels, and thus a generalization
of the theoretical framework is needed. Such a framework exists only in special cases,
e.g. in the non-relativistic domain close to threshold. I present a generalization of
Luscher's method that applies for three identical relativistic particles, connecting
the finite-volume spectrum to infinite-volume scattering quantities. I sketch how this
method might be used in practice, and note its successes and shortcomings. This is based
on work with Max Hansen.

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