Exact spinor-scalar bound states in a QFT with scalar interactions
Volodymyr Shpytko, Jurij Darewych
Abstract
We study two-particle systems in a model quantum field theory, in which scalar particles and spinor particles interact via a mediating scalar field. The Lagrangian of the model is reformulated by using covariant Green's functions to solve for the mediating field in terms of the particle fields. This results in a Hamiltonian in which the mediating-field propagator appears directly in the interaction term. It is shown that exact two-particle eigenstates of the Hamiltonian can be determined. The resulting relativistic fermion-boson equation is shown to have Dirac and Klein-Gordon one-particle limits. Analytic solutions for the bound state energy spectrum are obtained for the case of massless mediating fields.
Create a lesson
Related papers
A comprehensive theory framework for perturbative calculations of δC in superallowed beta decays
Chien-Yeah Seng
Bayesian calibration of a regional optical potential and uncertainty-quantified predictions for compound nucleus reactions
Samuel Sullivan, Kyle Beyer, Filomena Nunes et al.
Gaussian characterization of two-neutron halo nuclei
A. Deltuva, M. Gattobigio, D. Jurčiukonis et al.
Interpretable hybrid nuclear mass prediction based on term-by-term model discrepancies
Weihu Ye, Niu Wan
Long-Lived False-vacuum-Trapped Self-Bound Neutron-rich Droplets
Jingdong Shao, Mei Huang
Three-State Mixing as a Phenomenological Framework for Multiple Shape Coexistence
Marco Siciliano