The diffraction dissociation of deuterons on the diffused edge nuclei

Sitenko, A.G.; Polozov, A.D.; Evlanov, M.V.

doi:10.1016/0370-2693(74)90545-0

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2006

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“…The diffraction model with Coulomb interaction taken into account [4] has been widely used to describe different nuclear reactions induced by light ions at intermediate scattering energies.…”

Section: Introductionmentioning

confidence: 99%

Analytic Representation of the Overlap Integral of Three Wave Functions of Nucleus Scattering in a Coulomb Field

Ильин

2006

Theor Math Phys

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Based on the formalism of integral representations of hypergeometric-type functions, we find two ways to describe the Coulomb decay of light weakly bound atomic nuclei on heavy multiple-charge nuclei. In the first way, the overlap integral containing the product of three wave functions of scattering of nuclei in the Coulomb field is expanded into a double hypergeometric-type series in products of two Gauss hypergeometric functions. The series is convergent, at least if the three-particle kinematic relations are satisfied. In the second way, the same overlap integral reduces to a single contour integral containing the Gauss hypergeometric function and two additional binomial functions.

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Section: Introductionmentioning

confidence: 99%