Determination of the potential for back-angle enhanced elastic heavy-ion scattering: Application to the scattering of 16O on 28Si

doi:10.1016/0370-2693(79)90420-9

Physics Letters B

Volume 82, Issue 1, 12 March 1979, Pages 39-42

https://doi.org/10.1016/0370-2693(79)90420-9 Get rights and content

Abstract

The potential describing the recently measured complete angular distribution for the elastic scattering of ¹⁶O on ²⁸Si at 55 and 50 MeV is determined by inversion of the corresponding scattering function, which is parametrized in terms of a background term and a Regge pole.

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Cited by (15)

Back-angle anomaly 16O + 28Si and phenomenological effective surface potential
1995, Applied Radiation and Isotopes
The connection between the equations of classical hydrodynamics describing the flow of a liquid and the quantum-mechanical Schrödinger equation is discussed. A non-linear form of the latter is derived. The non-linearity of the Schrödinger equation is approximated by a phenomenological potential which is used to compute the differential cross-section ( $d σ d Ω$ ) for the elastic scaterring of ¹⁶O on ²⁸Si.
Description of back-angle scattering of 6Li on different nuclei
1990, International Journal of Radiation Applications and Instrumentation. Part
A model to describe the experimentally observed sharp backward rise of the cross-sections of the elastic scattering of ⁶Li ions on ¹²C, ¹⁶O, ²⁸Si and ⁴⁰Ca targets is proposed. The compression energy stored in the region of contact of two colliding nuclei is taken into account. A good agreement between the calculated elastic scattering cross-sections and experiment are obtained. The compressibility modulus of finite nuclear matter is extracted.
Coupled-channel description of resonant structures in the 16O + 20Ne system
1985, Nuclear Physics, Section A
Gross resonant structures observed in elastic scattering, inelastic scattering and the total reaction cross section for the ¹⁶O + ²⁰Ne system have been studied successfully using a coupled-channel approach, within a symmetric rotor model, with the diagonal potential modified to include both a parity-dependent real interaction and an angular-momentum (J)-dependent absorptive term. It is shown that the inclusion of both these terms is essential for the prediction of the four correlated gross structures observed in the energy range 23 MeV ≦ E_c.m ≦ 38 MeV for both elastic and inelastic scattering excitation functions at backward angles. Each of the gross structures is modelled as a doublet of even-parity plus odd-parity resonances, which arise as a consequence of the parity-dependent interaction and which are enhanced by the J-dependent absorptive form. The elastic and inelastic scattering angular distributions at a number of energies are also well described. It is demonstrated that the inclusion of strong coupling overcomes a number of inadequacies noted in previous optical-model calculations for the ¹⁶O + ²⁰Ne system. The total angular momenta of the resonant states obtained in the coupled-channel calculations are higher than those extracted from calculations which ignore coupling.
Potential inversion for p- and α-scattering at fixed energy
1984, Nuclear Physics, Section A
The previous rational and nonrational Bargmann-type schemes for solving the inverse scattering problem are combined and generalized to include the long-range Coulomb force. The method is applied to p-⁵⁸Ni, α-α and α-¹²C scattering with excellent results. Comparisons are made with the Newton-Sabatier inversion method as modified by Münchow and Scheid, and with the WKB-inversion method of Kujawski.
Potentials obtained by inversion of e-He atomic scattering data
1983, Physics Letters A
Dynamical aspects of large angle heavy-ion scattering
1982, Physics Reports
The recent data on large-angle scattering of heavy ions are reviewed. Typical features of these data are anomalously large cross sections in the backward hemisphere, strongly oscillatory angular distributions, and highly regular gross structures modulated by much narrower structures in excitation functions. A critical evaluation is presented of the different models proposed to understand various aspects of the data. Independent of these models, all the data show that the nuclear surface is more transparent than previously thought. The presence in the excitation functions of both narrow and broad structures indicates that there is an interplay of various reaction times, ranging from the lifetime of the compound nucleus to the time associated with shape resonances in the ion-ion potentials. Partly because of this apparently very complex reaction mechanism, there is at present no quantitative all-encompassing understanding of the physical origin of the observed phenomena. Promising avenues for future theoretical and experimental investigations are pointed out.

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¹: Permanent address: Physikalisches Institut, Universität Bonn, Bonn, Germany.

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Physics Letters B

Abstract

References (13)

Phys. Rev.

Nucl. Phys.

Phys. Rev.

Symposium on Heavy-Ion Elastic Scattering

RLO-1388-743

Symposium on Heavy-Ion Elastic Scattering

Symposium on Heavy-Ion Elastic

Symposium on Heavy-Ion Elastic Scattering

Phys. Rev. Lett.

Symposium on Heavy-Ion Elastic Scattering

Phys. Rev.

Semiclassical methods and surface creeps waves in heavy-ion reactions

Cited by (15)

Back-angle anomaly <sup>16</sup>O + <sup>28</sup>Si and phenomenological effective surface potential

Description of back-angle scattering of <sup>6</sup>Li on different nuclei

Coupled-channel description of resonant structures in the <sup>16</sup>O + <sup>20</sup>Ne system

Potential inversion for p- and α-scattering at fixed energy

Potentials obtained by inversion of e-He atomic scattering data

Dynamical aspects of large angle heavy-ion scattering