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arXiv · 1904.04418

Non-relativistic expansion of Dirac equation with spherical scalar and vector potentials by similarity renormalization group

Yixin Guo·Haozhao Liang
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Abstract

By following the conventional similarity renormalization group (SRG) expansion of the Dirac equation developed in [J.-Y. Guo, Phys. Rev. C \textbf{85}, 021302 (2012)], we work out the analytic expression of the ${1}/{M^4}$ order and verify the convergence of this method. As a step further, the reconstituted SRG method is proposed by using the re-summation technique. The speed of convergence of the reconstituted SRG becomes much faster than the conventional one, and the single-particle densities with the reconstituted SRG are also almost identical to the exact values.

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Yixin Guo, Haozhao Liang. 2019-04-09. Non-relativistic expansion of Dirac equation with spherical scalar and vector potentials by similarity renormalization group. https://doi.org/10.1103/physrevc.99.054324

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