Dispersion relations in application to chiral two-nucleon dynamics
1 Institut für Theoretische Physik II, Fakultät für Physik und Astronomie, Ruhr-Universität Bochum 44780 Bochum, Germany
2 SSC RF ITEP, Bolshaya Cheremushkinskaya 25, 117218 Moscow, Russia
3 GSI Helmholtzzentrum für Schwerionenforschung GmbH, Planckstraße 1, 64291 Darmstadt, Germany
a e-mail: email@example.com
Published online: 9 June 2014
A novel scheme based on the chiral Lagrangian is applied to the nucleon-nucleon interaction close to threshold. Subthreshold partial-wave amplitudes are calculated in chiral perturbation theory and analytically extrapolated above threshold. The constraints imposed by analyticity and unitarity are used to stabilize the extrapolation. A reasonable description of the empirical phase shifts up to laboratory energies Tlab ≃ 300 MeV is obtained in terms of the parameters relevant at next-to-next-to-next-to-leading order. The convergence properties of the method and the comparison with the conventional potential approach are discussed.
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