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What is ab initio?

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Abstract

Microscopic nuclear theory is based on the tenet that atomic nuclei can be accurately described as collections of point-like nucleons interacting via two- and many-body forces obeying nonrelativistic quantum mechanics—and the concept of the ab initio approach is to calculate nuclei accordingly. The forces are fixed in free-space scattering and must be accurate. We will critically review the history of this approach from the early beginnings until today. An analysis of current ab initio calculations reveals that some mistakes of history are being repeated today. The ultimate goal of nuclear theory are high-precision ab initio calculations which, as it turns out, may be possible only at the fifths order of the chiral expansion. Thus, for its fulfillment, nuclear theory is still facing an enormous task.

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Notes

  1. Other interesting cases are the models by Soma et al. [57] and Maris et al. [54] for which, however, presently no nuclear matter results are available.

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Acknowledgements

This work was supported in part by the U.S. Department of Energy under Grant No. DE-FG02-03ER41270.

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    R. Machleidt

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Machleidt, R. What is ab initio?. Few-Body Syst 64, 77 (2023). https://doi.org/10.1007/s00601-023-01857-2

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