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Journal Article

Chiral interactions up to next-to-next-to-next-to-leading order and nuclear saturation


Schwenk,  Achim
Institut für Kernphysik, Technische Universität Darmstadt, 64289 Darmstadt, Germany;
ExtreMe Matter Institute EMMI, GSI Helmholtzzentrum für Schwerionenforschung GmbH, 64291 Darmstadt, Germany;
Division Prof. Dr. Klaus Blaum, MPI for Nuclear Physics, Max Planck Society;

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Drischler, C., Hebeler, K., & Schwenk, A. (2019). Chiral interactions up to next-to-next-to-next-to-leading order and nuclear saturation. Physical Review Letters, 122(04): 042501. doi:10.1103/PhysRevLett.122.042501.

Cite as: https://hdl.handle.net/21.11116/0000-0003-2F53-C
We present an efficient Monte Carlo framework for perturbative calculations
of infinite nuclear matter based on chiral two-, three-, and four-nucleon
interactions. The method enables the incorporation of all many-body
contributions in a straightforward and transparent way, and makes it possible
to extract systematic uncertainty estimates by performing order-by-order
calculations in the chiral expansion as well as the many-body expansion. The
versatility of this new framework is demonstrated by applying it to chiral
low-momentum interactions, exhibiting a very good many-body convergence up to
fourth order. Following these benchmarks, we explore new chiral interactions up
to next-to-next-to-next-to-leading order (N3LO). Remarkably, simultaneous
fits to the triton and to saturation properties can be achieved, while all
three-nucleon low-energy couplings remain natural. The theoretical
uncertainties of nuclear matter are significantly reduced when going from
next-to-next-to-leading order to N3LO.