Abstract.
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.
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Dalkarov, O.D., Voronin, A.Y. Regularization of singular terms in the N¯ potential model. Eur. Phys. J. A 25, 249–256 (2005). https://doi.org/10.1140/epja/i2005-10092-4
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DOI: https://doi.org/10.1140/epja/i2005-10092-4