Bound states in the tachyon exchange potential

TL;DR

This paper investigates the potential for bound states mediated by a tachyon exchange, deriving the static potential from a Klein-Gordon field with imaginary mass and analyzing bound state conditions.

Contribution

It introduces a novel analysis of tachyon exchange potential and explores the conditions under which bound states can form, using variational and numerical methods.

Findings

Derived the static tachyon exchange potential.

Analyzed conditions for bound state existence.

Used variational and numerical methods for study.

Abstract

The Klein-Gordon field of imaginary mass is considered as a mediator of particle interaction. The static tachyon exchange potential is derived and its applied meaning is discussed. The Schr\"odinger equation with this potential is studied by means of variational and numerical methods. Conditions for existence of bound states are analyzed.