Constructing chiral effective field theory around unnatural leading-order interactions

Abstract

A momentum-dependent formulation based on a stationary spin-0 and isospin-1 dibaryon field is proposed to improve convergence of chiral effective field theory in the $\cs{1}{0}$ channel of $NN$ scattering. Although the two-parameter leading-order interaction appears to be unnatural, it nevertheless has the necessary features of an effective field theory. A rapid order-by-order convergence is found in $\cs{1}{0}$. As an application beyond the two-body level, the triton binding energy is studied and compared to standard chiral effective field theory with partly perturbative pions. The consistency of the chiral Lagrangian for the new formulation is examined by working out the pionic radiative corrections, and consequences of nontrivial chiral-connection terms are discussed.

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References in corpus (28)

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Cited by in corpus (10)

• Nuclear Forces for Precision Nuclear Physics -- a collection of perspectives
• Weinberg's Compositeness
• Perturbative Calculations of Deuteron Form Factors
• Perturbative computations of neutron-proton scattering observables using renormalization-group invariant $\chi$EFT up to N${}^3$LO
• Renormalization of proton-proton fusion in chiral effective field theory
• Effective field theory with resonant P-wave interaction
• Feasibility of perturbative generation of bound-states from resonances or virtual states
• Perturbative $\chi$EFT calculations of the deuteron and triton up to N${}^2$LO
• Systematic study of large-momentum distribution in nuclei with the operator product expansion
• Enhancement of deltaful two-pion exchange nuclear forces