Dirac oscillators and the relativistic R matrix

Abstract

The Dirac oscillators are shown to be an excellent expansion basis for solutions of the Dirac equation by $R$-matrix techniques. The combination of the Dirac oscillator and the $R$-matrix approach provides a convenient formalism for reactions as well as bound state problems. The utility of the $R$-matrix approach is demonstrated in relativistic impulse approximation calculations where exchange terms can be calculated exactly, and scattering waves made orthogonal to bound state wave functions.

Cited by in corpus (3)

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• Effects of spin on the dynamics of the 2D Dirac oscillator in the magnetic cosmic string background
• Relativistic R matrix and continuum shell model