High-energy heavy-ion scattering and the optical phase shift function

1977 ◽  
Vol 16 (2) ◽  
pp. 658-664 ◽  
Author(s):  
Victor Franco ◽  
Amouzou Tekou
2010 ◽  
Vol 17 (6) ◽  
pp. 663-671 ◽  
Author(s):  
V. L. Galinsky ◽  
V. I. Shevchenko

Abstract. A study of alpha particle acceleration at parallel shock due to an interaction with Alfvén waves self-consistently excited in both upstream and downstream regions was conducted using a scale-separation model (Galinsky and Shevchenko, 2000, 2007). The model uses conservation laws and resonance conditions to find where waves will be generated or damped and hence where particles will be pitch-angle scattered. It considers the total distribution function (for the bulk plasma and high energy tail), so no standard assumptions (e.g. seed populations, or some ad-hoc escape rate of accelerated particles) are required. The heavy ion scattering on hydromagnetic turbulence generated by both protons and ions themselves is considered. The contribution of alpha particles to turbulence generation is important because of their relatively large mass-loading parameter Pα=nαmα/npmp (mp, np and mα, nα are proton and alpha particle mass and density) that defines efficiency of wave excitation. The energy spectra of alpha particles are found and compared with those obtained in test particle approximation.


2001 ◽  
Vol 10 (03) ◽  
pp. 169-183 ◽  
Author(s):  
V. K. LUKYANOV ◽  
E. V. ZEMLYANAYA

The high-energy approximation is adapted for heavy ion scattering at energies of several dozen MeV/nucleon. It is shown that the closed form of the eikonal phase suggested for the realistic Woods–Saxon type potential is a hopeful one for further applications. The Glauber–Sitenko small angle approach is analyzed, and a role of the Coulomb deviation of the straight trajectory of motion is investigated. Methodical calculations and comparison with experimental data are made.


2004 ◽  
Vol 13 (06) ◽  
pp. 1225-1237 ◽  
Author(s):  
I. AHMAD ◽  
M. A. ALVI

Working within the framework of the Coulomb modified Glauber model and the optical limit approximation, we propose a phenomenological method of analysis for heavy-ion elastic scattering data at intermediate energies. Instead of using the commonly employed Gaussian approximation for the input NN amplitude that is deficient in some respects at low intermediate energies, we evaluate it in terms of a three parameter phenomenological NN phase shift function. The application of the method to some 12 C -nucleus and 16 O -nucleus systems shows that a very good description of the elastic scattering data at several energies can be obtained in this way. In particular, the 12 C –12 C elastic scattering data at 200 MeV/nucleon is very well reproduced. We also calculate the effective NN potential using the phenomenological NN phase shift function by the method of inversion. The calculated potential shows the expected behavior and is found to vary smoothly with energy.


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