Regularization of singular terms in the N¯ potential model
P.N. Lebedev Physical Institute, 53 Leninsky pr., 117924, Moscow, Russia
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Accepted: 14 June 2005
Published online: 29 August 2005
We suggest a method of singular terms regularization in a potential model of the N¯ interaction. This method is free from uncertainties related to the usual cut-off procedure and is based on the fact that, in the presence of sufficiently strong short-range annihilation, N and ¯ never approach close enough to each other. In such a case the low-energy scattering is shown to be fully determined by the OBEP tail, while any details of the short-range core of the N¯ interaction are excluded from the observables. The obtained results for S- and P-wave scattering lengths are in agreement with the well-established theoretical models.
PACS: 13.75.Cs Nucleon-nucleon interactions (including antinucleons, deuterons, etc.) – / 21.30.-x Nuclear forces – / 21.30.Fe Forces in hadronic systems and effective interactions – / 24.10.Ht Optical and diffraction models –
© Società Italiana di Fisica and Springer-Verlag, 2005