Peripheral NN-scattering: Role of delta-excitation, correlated two-pion and vector meson exchange

Peripheral NN-scattering: Role of delta-excitation, correlated two-pion and vector meson exchange. Kaiser, N., Gerstendörfer, S., & Weise, W. Nuclear Physics A, 637(3):395–420, 1998.
doi abstract bibtex

We evaluate, within one-loop chiral perturbation theory, the two-pion exchange diagrams with single and double delta-isobar excitation contributing to elastic NN-scattering. We find that virtual $\Delta$-excitation processes (in the static limit) produce the correct amount of isoscalar central attraction as needed in the peripheral partial waves with L ≥ 3. Furthermore we compute the two-loop diagrams involving the $\pi$$\pi$-interaction (so-called correlated 2$\pi$-exchange). Contrary to common believe these processes lead to negligibly small and repulsive corrections to the NN-potential. The exchange of vector mesons ($h̊o$, $\omega$) turns out to be important for the F-wave phase shifts above Tlab = 150 MeV. Without adjustable parameters we are able to reproduce the empirical NN phase shifts up to 350 MeV for L ≥ 3 and up to about (50-80) MeV for the D-waves. This is therefore the characteristic window in which the NN-interaction is basically governed by chiral symmetry. Not surprisingly, the lower partial waves require non-perturbative methods and additional short-distance parametrizations of the NN-dynamics. \textcopyright 1998 Elsevier Science B.V.

@article{Kaiser1998,
abstract = {We evaluate, within one-loop chiral perturbation theory, the two-pion exchange diagrams with single and double delta-isobar excitation contributing to elastic NN-scattering. We find that virtual $\Delta$-excitation processes (in the static limit) produce the correct amount of isoscalar central attraction as needed in the peripheral partial waves with L ≥ 3. Furthermore we compute the two-loop diagrams involving the $\pi$$\pi$-interaction (so-called correlated 2$\pi$-exchange). Contrary to common believe these processes lead to negligibly small and repulsive corrections to the NN-potential. The exchange of vector mesons ($\rho$, $\omega$) turns out to be important for the F-wave phase shifts above Tlab = 150 MeV. Without adjustable parameters we are able to reproduce the empirical NN phase shifts up to 350 MeV for L ≥ 3 and up to about (50-80) MeV for the D-waves. This is therefore the characteristic window in which the NN-interaction is basically governed by chiral symmetry. Not surprisingly, the lower partial waves require non-perturbative methods and additional short-distance parametrizations of the NN-dynamics. {\textcopyright} 1998 Elsevier Science B.V.},
author = {Kaiser, N. and Gerstend{\"{o}}rfer, S. and Weise, W.},
doi = {10.1016/S0375-9474(98)00234-6},
issn = {03759474},
journal = {Nuclear Physics A},
keywords = {Correlated 2$\pi$-exchange,Peripheral NN-scattering,Vector meson exchange,$\Delta$(1232)-excitation},
number = {3},
pages = {395--420},
title = {{Peripheral NN-scattering: Role of delta-excitation, correlated two-pion and vector meson exchange}},
volume = {637},
year = {1998}
}

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