Dispersion relations in application to chiral two-nucleon dynamics

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 us...

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Published inEPJ Web of conferences Vol. 73; pp. 6007 - 1-06007-4
Main Authors Gasparyan, A.M., Lutz, M.F.M., Epelbaum, E.
Format Journal Article
LanguageEnglish
Published EDP Sciences 01.01.2014
Subjects
Asymptotic properties
Convergence
Dispersions
Extrapolation
Mathematical analysis
Nucleon-nucleon interactions
Perturbation theory
Thresholds
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Summary: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 T sub(lab) [Asymptotically = to] 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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ISSN:2100-014X
2100-014X
DOI:10.1051/epjconf/20147306007