Few-particle lepton bound states in variational approach

TL;DR

This paper calculates the energy levels of three- and four-particle lepton bound states in quantum electrodynamics using a variational method with Gaussian basis functions, including hyperfine interactions.

Contribution

It introduces a variational approach with Gaussian basis functions to analyze multi-lepton bound states, accounting for hyperfine structure effects.

Findings

Calculated ground state energy levels for three- and four-lepton systems

Included hyperfine splitting due to spin-spin interactions

Demonstrated the effectiveness of the variational method in QED bound states

Abstract

The energy levels of the ground states of the three-particle and four-particle bound states of leptons in quantum electrodynamics are calculated. For the calculation, the variational method with Gaussian basis functions is used. The hyperfine structure of the spectrum is taken into account due to the pairwise spin-spin interaction of particles.