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arXiv · 1404.4621

Dirac oscillators and the relativistic R matrix

J. Grineviciute·Dean Halderson
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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.

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J. Grineviciute, Dean Halderson. 2014-04-17. Dirac oscillators and the relativistic R matrix. https://doi.org/10.1103/physrevc.80.044607

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