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Relativistic three-particle scattering equations

Sadhan K. Adhikari·Lauro Tomio·T. Frederico
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Abstract

We derive a set of relativistic three-particle scattering equations in the three-particle c.m. frame employing a relativistic three-particle propagator suggested long ago by Ahmadzadeh and Tjon in the c.m. frame of a two-particle subsystem. We make the coordinate transformation of this propagator from the c.m. frame of the two-particle subsystem to the three-particle c.m. frame. We also point out that some numerical applications of the Ahmadzadeh and Tjon propagator to the three-nucleon problem use unnecessary nonrelativistic approximations which do not simplify the computational task, but violate constraints of relativistic unitarity and/or covariance.

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Sadhan K. Adhikari, Lauro Tomio, T. Frederico. 1993-06-08. Relativistic three-particle scattering equations. https://doi.org/10.1103/physrevc.48.2105

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