Non-relativistic solutions for three-body molecules within a Chern–Simons model

On the influence of Maxwell-Chern-Simons electrodynamics in nuclear fusion involving electronic and muonic molecules

“…A possible answer could be found within the framework of the so-called Maxwell-Chern-Simons theory, where the electromagnetic interaction allows the photon to acquire a non-trivial topological mass (m γ ) without any conflict with its inherent gauge symmetry. This trend is due in part to the understanding that there is a formal connection between planar quantum electrodynamics and the Chern-Simons theory, as shown in [6] and references therein.…”

“…The main argument for this is that since the muon mass is about 200 times greater than that of the electron, The muonic Bohr radius will be also roughly 200 times smaller, possibly favoring the fusion process. Previous analyses [6] have already shown that this fact is not true for molecules governed by the (a) E-mail: felipeoak91@gmail.com (corresponding author) Chern-Simons interaction. In this letter, the same kind of analysis made in ref.…”

“…[4] is carried on in the light of the new results of ref. [6]. The purpose is to find out if the electrodynamics of Maxwell-Chern-Simons can exert a positive influence on ordinary molecules and on muoncatalyzed fusion or not.…”

“…Indeed, changing from electron to muon does not have the same influence on the size of the molecule as the ln ρ or the −1/ρ case [8,9] (a consequence of its small value, i.e., 0.2 × 10 −3 ≤ λ ≤ 0.2 × 10 −5 ), as already shown in ref. [6].…”