DESCRIPTION OF CHAMELEONS COUPLING STATE UNDER THE SCALAR FIELD THEORY

The result of cosmological theories coming to that the Universe is accelerated expansion and dependable the responsible for this action has been recognize as dark energy and described by the slowly rolling scalar Chameleon field. Our general arguments explain theoretical results presenting evidence of such bound pair states in scalar chameleon field. This result is remarkable in that two interacting particles beget the bound state when moving in vacuum. Therefore through quantum mechanics theories that two particles interacting via a short range repulsive force in an external field can form a bound state. The phenomenon delineated is universal in the sense that, under appropriate conditions, bound states are possible independent of the nature of the particles and/or the mechanism by which the external field is engineered. According to the asymptotic behavior of the loop function in the scalar field (scalar electrodynamics field) and utilize the oscillator representation method, we are describe and study an alternative method to consider this exotic bound state.