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arXiv · 2412.08825

Scattering phase shifts from overlap relations in the $J$-matrix method

Calvin W. Johnson·Bui Minh Loc·Austin Keller·Kenneth M. Nollett
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Abstract

The scattering problem can be implemented in a square-integrable basis via the so-called $J$-matrix method. While methods to compute the phase shift in the $J$-matrix approach are known, we introduce a novel formula in square-integrable bases analogous to existing integral relations or overlap integrals in a (continuous) position basis. We demonstrate the method in single-channel potential scattering. Such a result is the first step towards a more general approach to scattering and reactions in popular many-body methods such as the configuration-interaction shell model.

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Calvin W. Johnson, Bui Minh Loc, Austin Keller, Kenneth M. Nollett. 2024-12-11. Scattering phase shifts from overlap relations in the $J$-matrix method. https://arxiv.org/abs/2412.08825

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