New approach to NN with perturbative pions
نویسنده
چکیده
The current status of effective field theory (EFT) descriptions of nucleon-nucleon (NN) interactions is briefly reviewed, and a new formulation of EFT which treats pion interactions perturba-tively is presented. This approach differs from the Kaplan-Savage-Wise (KSW) expansion in that the singular short distance part of the pion tensor interaction is summed to all orders.
منابع مشابه
Renormalization schemes and the range of two – nucleon effective field theory
The OS and PDS renormalization schemes for the effective field theory with nucleons and pions are investigated. We explain in detail how the renormalization is implemented using local counterterms. Fits to the NN scattering data are performed in the S0 and S1 channels for different values of μR. An error analysis indicates that the range of the theory with perturbative pions is consistent with ...
متن کاملThe NN scattering 3 S 1 − 3 D 1 mixing angle at NNLO
The S1−D1 mixing angle for nucleon-nucleon scattering, ǫ1, is calculated to next-to-next-to-leading order in an effective field theory with perturbative pions. Without pions, the low energy theory fits the observed ǫ1 well for momenta less than ∼ 50 MeV. Including pions perturbatively significantly improves the agreement with data for momenta up to ∼ 150 MeV with one less parameter. Furthermore...
متن کاملNucleon-Nucleon Scattering and Effective Field Theory: Including Pions Non-perturbatively
Next to leading order effective field theory calculations are performed for S0 NN scattering using subtractive renormalization procedure. One pion exchange and contact interaction potentials are iterated using Lippman-Schwinger equation. Satisfactory fit to the Nijmegen data is obtained for the momenta up to 300 MeV in the centre of mass frame. Phase shifts are also compared with the results of...
متن کاملRegularization and renormalization in effective field theories of the nucleon - nucleon interaction
Some form of nonperturbative regularization is necessary if effective field theory treatments of the NN interaction are to yield finite answers. We discuss various regularization schemes used in the literature. Two of these methods involve formally iterating the divergent interaction and then regularizing and renormalizing the resultant amplitude. Either a (sharp or smooth) cutoff can be introd...
متن کاملPerturbative Approach to Calculating the Correlation Function of bi-isotropic Metamaterials
A bi-isotropic magneto-electric metamaterials is modeled by two independent reservoirs. The reservoirs contain a continuum of three dimensional harmonic oscillators, which describe polarizability and magnetizability of the medium. The paper aimed to investigate the effect of electromagnetic field on bi-isotropic. Starting with a total Lagrangian and using Euler-Lagrange equation, researcher cou...
متن کامل