Coulomb amplitude representation and nuclear diffraction and refraction

Abstract

A new, consistent with wave-optics, method of treating diffraction and refraction in nuclear elastic scattering, is proposed and discussed. The method is based on the decomposition of the total elastic-scattering amplitude, written in a different form than usual, into the amplitude describing pure diffraction, and the rest, i.e., refraction and reflection. It is shown that nuclear diffraction is due to incompleteness of the Coulomb-scattering amplitude and is described by it. It is show that diffraction can be regarded as a kind of "background" always present, irrespective of the system being studied. PACS Nos.: 24.10.Ht, 42.25.Fx, 42.25.GyRésumé : Nous proposons et analysons une nouvelle méthode, cohérente avec l'optique ondulatoire, pour décrire la diffraction et la réfraction dans la diffusion nucléaire élastique. La méthode est basée sur la décomposition de l'amplitude de diffusion élastique totale, écrite d'une façon différente, en une amplitude décrivant la diffraction pure et une autre amplitude qui comprend la réfraction et la réflexion. Nous montrons que la diffraction nucléaire est due à l'inachèvement de l'amplitude coulombien et est décrite par elle. Nous montrons que la diffraction peut être vue comme une sorte de bruit de fond toujours présent, indépendamment du système étudié.[Traduit par la Rédaction]

χ2or Δ test function in analysis of nuclear elastic scattering data

“…In the simple analyses just presented, the χ 2 test is definitely better in the first three cases. In the case of 208 Pb + 4 He, which is almost pure diffraction [6], of course both functions give the same results.…”

“…The elastic differential cross section is the simplest nuclear reaction observed, but of a very specific type. This differential cross section is a superposition of two phenomena, namely nuclear diffraction and nuclear refraction [6]. The origins of these phenomena and their mechanisms are quite different.…”

Quantum diffraction grating: A possible new description of nuclear elastic scattering

“…The same separations for various nuclear scattering systems and scattering energies, published elsewhere and cited early [14] are presented in Fig. 5.…”

“…The parameters of the above F (l) function, ie, the l gr and ∆ can be obtained by fitting the tail of ReS l with F (l). The details of this one can find in previously cited paper [14]. The imaginary parts of S l are left untouched.…”

“…For attractive Coulomb force (electrons beam) the "slits" are converted into spherical shells around the nucleus where electrons can be captured forming (under suitable condition) stable atomic orbits. The effect measured as elastic nuclear scattering is then the sum of refracting and diffracting effects and theoretically is expressed by relation (14) . It is then clear that diffraction is present only in nuclear elastic scattering channel.…”