Relativistic effects and quasipotential equations

Details Relativistic effects and quasipotential equations Relativistic effects and quasipotential equations

2001-07-25

arxiv.org/abs/nucl-th/0107065v2

Phys.Rev. C65 (2002) 034008

Physics

Nuclear Physics

Nuclear Theory

Accepted for publication in Phys. Rev. C

Scientific paper

10.1103/PhysRevC.65.034008

We compare the scattering amplitude resulting from the several quasipotential equations for scalar particles. We consider the Blankenbecler-Sugar, Spectator, Thompson, Erkelenz-Holinde and Equal-Time equations, which were solved numerically without decomposition into partial waves. We analyze both negative-energy state components of the propagators and retardation effects. We found that the scattering solutions of the Spectator and the Equal-Time equations are very close to the nonrelativistic solution even at high energies. The overall relativistic effect increases with the energy. The width of the band for the relative uncertainty in the real part of the scattering $T$ matrix, due to different dynamical equations, is largest for backward-scattering angles where it can be as large as 40%.

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