Contact operators in renormalization of attractive singular potentials

Abstract

We discuss renormalization of chiral nuclear forces in the 3P0 channel of N N scattering at next- to-next-to leading order (N2LO) if the one-pion exchange is treated nonperturbatively at leading order. The matrix elements of the subleading contact potentials become nearly dependent of each other for the so-called exceptional ultraviolet momentum cutoff, making it difficult to determine the strengths of those contact potentials from the empirical phase shifts, as reported in Ref. [1]. We argue that this issue can be resolved by adjusting the strategy by which the low-energy constants are deduced from the data, thus making those exceptional cutoffs amenable to chiral effective field theory.

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Cited by in corpus (8)

• A further study on the renormalization group aspect of perturbative corrections
• Reexamining the perturbative renormalizability of the coupled triplets
• Regulator constraints for the perturbative renormalizability of attractive triplets
• Perturbative renormalization of chiral nuclear forces at subleading order in 3S1-3D1 channel
• Perturbative $\chi$EFT calculations of the deuteron and triton up to N${}^2$LO
• An Efficient Learning Method to Connect Observables
• Systematic study of large-momentum distribution in nuclei with the operator product expansion
• Auxiliary counterterms and their role in effective field theory