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Peripheral Nucleon-Nucleon Phase Shifts and Chiral Symmetry | | N. Kaiser
; R. Brockmann
; W. Weise
; | | Date: |
18 Jun 1997 | | Journal: | Nucl.Phys. A625 (1997) 758-788 | | Subject: | nucl-th hep-ph | | Abstract: | Within the one-loop approximation of baryon chiral perturbation theory we calculate all one-pion and two-pion exchange contributions to the nucleon-nucleon interaction. In fact we construct the elastic NN-scattering amplitude up to and including third order in small momenta. The phase shifts with orbital angular momentum $Lgeq2 $ and the mixing angles with $Jgeq2$ are given parameterfree and thus allow for a detailed test of chiral symmetry in the two-nucleon system. We find that for the D-waves the $2pi$-exchange corrections are too large as compared with empirical phase shifts, signaling the increasing importance of shorter range effects in lower partial waves. For higher partial waves, especially for G-waves, the model independent $2pi$-exchange corrections bring the chiral prediction close to empirical NN phase shifts. We propose to use the chiral NN phase shifts with $Lgeq 3$ as input in a future phase shift analysis. Furthermore, we compute the irreducible two-pion exchange NN-potentials in coordinate space. They turn out to be of van-der-Waals type, with exponential screening of two-pion mass range. | | Source: | arXiv, nucl-th/9706045 | | Services: | Forum | Review | PDF | Favorites | |
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