NN scattering in higher derivative formulation of baryon chiral perturbation theory

Details NN scattering in higher derivative formulation of baryon chiral perturbation theory NN scattering in higher derivative formulation of baryon chiral perturbation theory

Publishing date

2006-09-19

URL

arxiv.org/abs/nucl-th/0609055v3

Journals

FewBodySyst.41:141-155,2007

Science

Physics

Field

Nuclear Physics

SubField

Nuclear Theory

Additional info

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

Type

Scientific paper

Digital Object Identifier

10.1007/s00601-007-0194-2

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.

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