Abstract
Recently, a new generation of nuclear forces has been developed in the framework of chiral EFT. An important feature of these potentials is a novel semi-local regularization approach that combines the advantages of a local regulator for long-range interactions with the convenience of an angle-independent nonlocal regulator for contact interactions. The authors discuss the key features of the semi-local two-nucleon potentials and demonstrate their outstanding performance in the two-nucleon sector by showing selected results up to the fifth order in the EFT expansion. Also reviewed are applications to heavier systems, which are currently limited to the third chiral order. This limitation reflects the conceptual difficulty in constructing consistently regularized many-body forces and current operators and affects all currently available interactions. The authors outline possible ways to tackle this problem and discuss future directions in the field.
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Acknowledgements
The authors are grateful to Vadim Baru, Arseniy Filin, Ashot Gasparyan, Jambul Gegelia, Christopher Körber, Ulf Meißner, and to all members of the LENPIC Collaboration for sharing their insights into the topics addressed in this chapter. This work was supported by BMBF (contract No. 05P18PCFP1), by DFG and NSFC through funds provided to the Sino-German CRC 110 “Symmetries and the Emergence of Structure in QCD” (NSFC Grant No. 11621131001, DFG Project-ID 196253076 – TRR 110), by ERC AdG NuclearTheory (grant No. 885150), and by the EU Horizon 2020 research and innovation program (STRONG-2020, grant agreement No. 824093).
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Epelbaum, E., Krebs, H., Reinert, P. (2022). Semi-local Nuclear Forces From Chiral EFT: State-of-the-Art and Challenges. In: Tanihata, I., Toki, H., Kajino, T. (eds) Handbook of Nuclear Physics . Springer, Singapore. https://doi.org/10.1007/978-981-15-8818-1_54-1
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