Effective potential for relativistic scattering
Mahmut Elbistan, Pengming Zhang, Janos Balog
TL;DR
This paper investigates the effective potential in relativistic quantum scattering, focusing on the Sine-Gordon model, and finds that the potential depends on the frame of reference but resembles known integrable models.
Contribution
It provides a calculation of the effective potential in different frames for the Sine-Gordon model, highlighting frame dependence and similarities to the Ruijsenaars-Schneider model.
Findings
Effective potentials are frame dependent.
Resemblance to the zero-momentum potential of Ruijsenaars-Schneider model.
Frame dependence affects the form of the potential.
Abstract
We consider quantum inverse scattering with singular potentials and calculate the Sine-Gordon model effective potential in the laboratory and centre-of-mass frames. The effective potentials are frame dependent but closely resemble the zero-momentum potential of the equivalent Ruijsenaars-Schneider model.
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Taxonomy
TopicsSpectral Theory in Mathematical Physics · Quantum Chromodynamics and Particle Interactions · Quantum Mechanics and Non-Hermitian Physics