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Pieter Maris

University of Pittsburg
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Manifestly covariant three-body bound state calculations

Two-body bound states can be described by the homogeneous
Bethe-Salpeter equation. Analogously, three-body bound states can
be described by a homogeneous integral equation for the bound state
amplitudes. In ladder truncation, one can solve this three-body
bound state equation, without any further approximations. I will
show result for explicitly covariant calculations of bound states
of three scalar particles and of bound states of two scalars and
one fermion. My results show significantly stronger binding than
the corresponding relativistic three-body bound state equation in
lightfront dynamics. I also compare my results to a commonly used
approximation to the Faddeev equation.

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