arXiv subjects

Walter S. Jaronski

Publications and source records attributed to Walter S. Jaronski.

2 recordsLinked to original sources

arXiv2025

The Instantaneous Breit Equation with an Application to Charmonium

The solution of the Breit equation with an instantaneous potential for the case of two spin-1/2 particles in a pseudoscalar bound state is considered. This is then applied to charmonium using a potential of the Cornell type. The masses of the two JP = 0^- states below charm threshold are calculated in this model. We allow different mixtures of the Lorentz nature (vector or scalar) of the linear confining term and investigate the effect of these on the bound-state energies. Some general comments are made on the issue of how the bound nature of these states depends on the vector-scalar mix.

hep-ph↗

arXiv2021

The linear potential and the Dirac equation

The solution of the Dirac equation for an attractive linear potential is considered. The Lorentz nature of the potential (vector or scalar) affects the existence of bound states. For simplicity, and since it is sufficient for the goals of this study, only the ground state is considered. The case of equal vector and scalar pieces of the linear potential is emphasized because it lends itself to a simple analytic solution. This solution corresponds to a state which is strictly bound. For a linear potential with a larger component of the vector part, we find a state that is only quasi-bound, but its decay can be strongly inhibited by an effective potential barrier.

quant-ph↗