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Efficient few-body calculations in finite volume

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arxiv 2211.00395 v1 pith:57B34TAA submitted 2022-11-01 nucl-th

Efficient few-body calculations in finite volume

classification nucl-th
keywords volumeefficientsystemsatomiccalculationsfew-bodyfinitepresents
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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Simulating quantum systems in a finite volume is a powerful theoretical tool to extract information about them. Real-world properties of the system are encoded in how its discrete energy levels change with the size of the volume. This approach is relevant not only for nuclear physics, where lattice methods for few- and many-nucleon states complement phenomenological shell-model descriptions and ab initio calculations of atomic nuclei based on harmonic oscillator expansions, but also for other fields such as simulations of cold atomic systems. This contribution presents recent progress concerning finite-volume simulations of few-body systems. In particular, it discusses details regarding the efficient numerical implementation of separable interactions and it presents eigenvector continuation as a method for performing robust and efficient volume extrapolations.

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  1. Jacobi Coordinates on Hyper-tori and Geometric Factors in the Volume Dependencies

    nucl-th 2025-11 conditional novelty 7.0

    The finite-volume energy shift of a clustered nucleus is the point-like two-body shift multiplied by a geometric factor that counts spin-isospin cluster partitions, and this factor is essential for extracting ANCs.