High-energy approximations to nuclear scattering

Frahn, W.E.; Schürmann, Bernd

doi:10.1016/0003-4916(74)90297-8

Cited by 16 publications

(1 citation statement)

References 37 publications

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“…Moreover, we shall show that a propagator in the transverse approximation coincides with the Fresnel propagator discussed by Gottfried,5 ) and Frahn and Schurmann. 6 ) The third type of the expansion is expected to give excellent approximation for intermediate scattering angles. In order to investigate the validity of this expansion, the numerical calculations are carried out for square-well potentials.…”

Section: § I Introductionmentioning

confidence: 99%

Eikonal Type Approximations for Potential Scattering

Adachi

Inagaki

1978

Progress of Theoretical Physics

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Approximation methods based on the systematic expansions of the modulating function are presented for potential scattering. It is shown that three types of the systematic methods, which are related to the eikonal type approximations, can be developed. These three expansions are expected to give the excell.ent approximations for the respective ranges of forward, backward and intermediate scattering angles at high energies. The functional integral representations for various propagators are given in closed form on the basis of the method proposed by Fradkin. The relations among systematic expansions and an approximation method for the functional integral are illustrated. these expansions, which emphasized a particle-like picture, works well for forward scattering angles and has been widely discussed in Ref.3), so that in this paper, we shall consider the other two types of the expansions. First, we shall introduce

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Section: § I Introductionmentioning

confidence: 99%