Elsevier

Nuclear Physics A

Volume 294, Issue 3, 16 January 1978, Pages 492-512
Nuclear Physics A

Coupling constants for several light nuclei from a dispersion analysis of nucleon and deuteron scattering amplitudes

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Abstract

A forward dispersion relation cannot be applied to charged particle scattering amplitudes unless the influence of the Coulomb interaction is explicitly considered. Earlier studies have shown how Coulomb effects can be taken into account when direct (s-channel or bound-state) poles are investigated. In this paper we extend the Coulomb modification to include I = 0 exchange (u-channel) processes as well. We then apply a forward dispersion relation to empirical d + α, p + d and n + d elastic scattering amplitudes which contain both direct and exchange poles with and without Coulomb effects. We obtain detailed and model-independent information on the following vertices: 6Li-α-d (S- and D-state) 4He-d-d, 3He-d-p, 3H-d-n and d-p-n. From the coupling constants we calculate the asymptotic normalization (spectroscopic factors) C21 of the corresponding cluster wave functions, which become: C20(6Li, αd) = 4.62 ± 0.23, C22(6Li, αd) = (1 ± 6) × 10−4, C20(α, dd) < 2, C20(3He, dp) = 3.5 ± 0.4, C20(3H, dn) = 2.6 ± 0.3 and C20(d, np) = 1.66 ± 0.1.

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    Work supported in part by the Swiss National Science Foundation.

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