NN scattering in higher derivative formulation of baryon chiral perturbation theory

Abstract

We consider a new approach to the nucleon-nucleon scattering problem in the framework of the higher-derivative formulation of baryon chiral perturbation theory. Starting with a Lorentz-invariant form of the effective Lagrangian we work out a new symmetry-preserving framework where the leading-order amplitude is calculated by solving renormalizable equations and corrections are taken into account perturbatively. Analogously to the KSW approach, the (leading) renormalization scale dependence to any finite order is absorbed in the redefinition of a finite number of parameters of the effective potential at given order. On the other hand, analogously to Weinberg's power counting, the one-pion-exchange potential is of leading order and is treated non-perturbatively.

arXiv comment15 pages, 4 figures, REVTeX 4, journal version. Title changed, numerical results added

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Cited by in corpus (17)

• Modern Theory of Nuclear Forces
• Nuclear effective field theory: status and perspectives
• Semilocal momentum-space regularized chiral two-nucleon potentials up to fifth order
• Leading order relativistic chiral nucleon-nucleon interaction
• Weinberg's approach to nucleon-nucleon scattering revisited
• How (not) to renormalize integral equations with singular potentials in effective field theory
• Subtractive renormalization of the NN interaction in chiral effective theory up to next-to-next-to-leading order: S waves
• Subtractive renormalization of the chiral potentials up to next-to-next-to-leading order in higher NN partial waves
• Leading order relativistic hyperon-nucleon interactions in chiral effective field theory
• Covariant chiral nucleon-nucleon contact Lagrangian up to order $\mathcal{O}(q^4)$
• Taking dibaryon fields seriously
• Deconstructing 1S0 nucleon-nucleon scattering
• Nucleon-nucleon interaction in chiral EFT with a finite cutoff: explicit perturbative renormalization at next-to-leading order
• Relativistic chiral description of the ${}^1{S}_0$ nucleon-nucleon scattering
• Chiral potentials, perturbation theory, and the 1S0 channel of NN scattering
• Two-nucleon scattering in a modified Weinberg approach with a symmetry-preserving regularization
• Two-nucleon problem in semi-relativistic baryon chiral perturbation theory