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
Constrained Hamiltonian Formulation of Kinetic Theory for Relativistic Spin-1/2 Particles
Jie Zhou, Ying Shan Zhao, Yifeng Sun
Chiral invariant mass and scale symmetry in dense matter from a dilaton compensated parity doublet model
Yao Ma, Bikai Gao, Masayasu Harada et al.
Linking chiral nuclear forces to light-ion collisions: a global sensitivity analysis
Thomas Duguet, Andreas Ekström, Giuliano Giacalone et al.
Comparison of Methods for Extracting Three-Dimensional Lévy Source Parameters in sNN = 200 GeV Au+Au Collisions with EPOS3
Máté Szilágyi, Máté Csanád, Dániel Kincses
Manifestation of scale symmetry in nuclear medium
Yong-Liang Ma
Wigner distribution modeling of nuclear state in NuWro Monte Carlo event generator
Rwik Dharmapal Banerjee, Alexis Nikolakopoulos, Jan T. Sobczyk et al.