Nucleon-nucleon potentials from Delta-full chiral effective-field-theory and implications

Abstract

We closely investigate NN potentials based upon the Delta-full version of chiral effective field theory. We find that recently constructed NN potentials of this kind, which (when applied together with three-nucleon forces) were presented as predicting accurate binding energies and radii for a range of nuclei from A=16 to A=132 and providing accurate equations of state for nuclear matter, yield a chi^2/datum of 60 for the reproduction of the pp data below 100 MeV laboratory energy. This chi^2 is more than three times what the Hamada-Johnston potential of the year of 1962 achieved already some 60 years ago. We perceive this historical fact as concerning in view of the current emphasis on precision. We are able to trace the very large chi^2 as well as the apparent success of the potentials in nuclear structure to unrealistic predictions for P-wave states, in which the Delta-full NNLO potentials are off by up to 40 times the NNLO truncation errors. In fact, we show that, the worse the description of the P-wave states, the better the predictions in nuclear structure. Thus, these potentials cannot be seen as the solution to the outstanding problems in current miscroscopic nuclear structure physics.

18 pages, 4 figures, 7 tables. Abstract language tamed upon recommendation by referee; all results and all conclusions unchanged

References in corpus (8)

• Chiral effective field theory and nuclear forces
• Improved nuclear matter calculations from chiral low-momentum interactions
• Improved chiral nucleon-nucleon potential up to next-to-next-to-next-to-leading order
• Nuclear forces with Delta-excitations up to next-to-next-to-leading order I: peripheral nucleon-nucleon waves
• Chiral EFT based nuclear forces: Achievements and challenges
• Historical perspective and future prospects for nuclear interactions
• Exploring the relationship between nuclear matter and finite nuclei with chiral two- and three-nucleon forces
• Elastic pion-nucleon scattering in chiral perturbation theory: Explicit $\Delta$(1232) degrees of freedom

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• Sign-Problem-Free Nuclear Quantum Monte Carlo Simulation
• The nuclear symmetry energy from relativistic Brueckner-Hartree-Fock model
• Revisiting proton-proton fusion in chiral effective field theory
• Enhancement of deltaful two-pion exchange nuclear forces