The nucleon-nucleon interaction in a chiral effective field theory
Epelbaum, Evgeny (Corresponding author)
Publikationen vor 2000; PRE-2000; Retrocat
Jülich Forschungszentrum Jülich GmbH Zentralbibliothek, Verlag 2000
VIII, 201 p.
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Berichte des Forschungszentrums Jülich 3803
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Please use the identifier: http://hdl.handle.net/2128/24025 in citations.


We derive the nucleon-nucleon interaction based an the most general chiral effective pion-nucleonLagrangian using the method of unitary transformations. For that, we develop a power countingscheme consistent with this projection formalism. In contrast to previous results obtained in oldfashionedtime-ordered perturbation theory, the method employed leads to energy-independentpotentials. We discuss in detail the similarities and differences to the existing chiral nucleon-nucleonpotentials. We also show that to leading order in the power counting, the three-nucleonforces vanish lending credit to the result obtained by Weinberg using old-fashioned time-orderedperturbation theory. We employ the chiral nucleon-nucleon potential to study scattering and bound state problemsin the two-nucleon system. At next-to-leading order, this potential is the sum of renormalizedone-pion and two-pion exchange and contact interactions. At next-to-next-to-leading order,we have additional chiral two-pion exchange with low-energy constants determined from pion-nucleonscattering. Alternatively, we consider the delta-resonance as an explicit degree of freedomin the effective field theory. The nine parameters related to the contact interactions can bedetermined by a fit to the neutron-proton S- and P-waves and the mixing parameter $\epsilon_{1}$ forlaboratory energies below 100 MeV . The predicted phase shifts and mixing parameters for higherenergies and higher angular momenta are mostly well described für energies below 300 MeV. TheS-waves are described as precisely as in modern phenomenological potentials. We observe a goodagreement with experimentally measured deuteron properties.We also discuss various charge symmetry and Charge independence breaking effects in the $^{1}$S$_{0}$channel, in which the largest isospin violating effects are observed.