Doubly Charged Fermions Bound States,Vector Bosons Bound States

TL;DR

This paper explores bound states of doubly charged fermions and vector bosons, analyzing effects of parity violation, Higgs and Coulomb potentials, and magnetic fields on their energy levels and stability.

Contribution

It introduces a model-independent analysis of vector boson bound states and examines the impact of Higgs potential on their singularity and stability.

Findings

Higgs potential reduces singularity of the effective potential.

Vector boson energy levels are affected by magnetic fields.

Parity violation effects are considered in positronium-like systems.

Abstract

We consider positronium-like bound states of doubly charged fermions.We consider also $P(CP)$-parity violation in positronium like system (including quarkonium and lepton antilepton bound states and mesoatoms) which take place due to $Z^0$-bosons or Higgs bosons exchange.By model independent way we consider also vector bosons bound states in the Coulomb and Higgs potential and have shown that in the presence of the Higgs potential effective potential become less singular and in this case fall down on the center is absent.Vector bosons energy levels in the magnetic field are considered. Considered magnetism of electron gas in the finite volume.