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DOE OSTI · 2529444

Barrier penetration in a discrete-basis formalism

Bertsch, George F.·Hagino, Kouichi
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Abstract

The dynamics of a many-particle system are often modeled by mapping the Hamiltonian into a Schrödinger equation. An alternative approach is to solve the Hamiltonian equations directly in a model space of many-body configurations. In a previous paper the numerical convergence of the two approaches was compared with a simplified treatment of the Hamiltonian representation. Here, we extend the comparison to the nonorthogonal model spaces that would be obtained by the generator-coordinate method. With a suitable choice of the collective-variable grid, a configuration-interaction Hamiltonian can reproduce the Schrödinger dynamics very well. Furthermore, the method as implemented here requires that the barrier height is not much larger than the zero-point energy in the collective coordinates of the configurations.

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BibTeXRIS

Bertsch, George F., Hagino, Kouichi. 2024-05-07. Barrier penetration in a discrete-basis formalism. https://doi.org/10.1103/physrevc.109.054606

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