Abstract
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 lab ≃ 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.
Highlights
Chiral perturbation theory provides a systematic tool for studying low-energy hadron dynamics
The nucleon-nucleon interaction was studied from threshold up to Tlab = 250
A novel approach that constructs an analytic extrapolation of subthreshold amplitudes, that are calculated in ChPT, was applied. It relies on using partial-wave dispersion relations properly combined with conformal mapping techniques
Summary
Chiral perturbation theory provides a systematic tool for studying low-energy hadron dynamics. The perturbative expansion works well in particular in describing the and N scattering processes in the threshold region. The scattering amplitude is generated by solving a dynamical equation in a non-perturbative manner with a potential calculated from the chiral Lagrangian. Within this scheme significant progress has been achieved in the recent years [2, 3]. It was applied to the NN -scattering problem [9], see Ref. [10,11,12] for related works
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