Relativistic two-photon decay rates with the Lagrange-mesh method

Relativistic two-photon and two-gluon decay rates of heavy quarkonia.

The decay rates of cc̄ and bb̄ through two-photon or two-gluon annihilations are obtained by using totally relativistic decay amplitudes and a sophisticated quantum-chromodynamic potential model for heavy quarkonia. Our results for the photonic and gluonic widths of the S0, P0, and the P2 states are in excellent agreement with the available experimental data. The procedures and mathematical techn...

Lagrange mesh, relativistic flux tube, and rotating string.

The Lagrange mesh method is a very accurate and simple procedure to compute eigenvalues and eigenfunctions of nonrelativistic and semirelativistic Hamiltonians. We show here that it can be used successfully to solve the equations of both the relativistic flux tube model and the rotating string model, in the symmetric case. Verifications of the convergence of the method are given.

Ultra- Relativistic Solitons with Opposing Behaviors in Photon Gas Plasma

We have studied the formation of relativistic solitary waves due to nonlinearinteraction of strong electromagnetic wave with the plasma wave. Here, our plasma isrelativistic both in temperature and in streaming speed. A set of equations consisting ofscalar and vector potentials together with a third order equation for the enthalpy inphoton gas plasma is obtained analytic...

Relativistic Lagrange Formulation

It is well-known that the equations for a simple fluid can be cast into what is called their Lagrange formulation. We introduce a notion of a generalized Lagrange formulation, which is applicable to a wide variety of systems of partial differential equations. These include numerous systems of physical interest, in particular, those for various material media in general relativity. There is prov...

Negative continuum effects on the two-photon decay rates of hydrogen-like ions