Barrier and internal wave contributions to the quantum probability density and flux in light heavy-ion elastic scattering

Details Barrier and internal wave contributions to the quantum probability density and flux in light heavy-ion elastic scattering Barrier and internal wave contributions to the quantum probability density and flux in light heavy-ion elastic scattering

1997-11-21

arxiv.org/abs/nucl-th/9711040v1

Phys.Rev.C57:1386-1397,1998

Physics

Nuclear Physics

Nuclear Theory

16 pages, 15 figures. RevTeX file. To appear in Phys. Rev. C. The figures are only available via anonynous FTP on ftp://umhs

Scientific paper

10.1103/PhysRevC.57.1386

We investigate the properties of the optical model wave function for light heavy-ion systems where absorption is incomplete, such as $\alpha + ^{40}$Ca and $\alpha + ^{16}$O around 30 MeV incident energy. Strong focusing effects are predicted to occur well inside the nucleus, where the probability density can reach values much higher than that of the incident wave. This focusing is shown to be correlated with the presence at back angles of a strong enhancement in the elastic cross section, the so-called ALAS (anomalous large angle scattering) phenomenon; this is substantiated by calculations of the quantum probability flux and of classical trajectories. To clarify this mechanism, we decompose the scattering wave function and the associated probability flux into their barrier and internal wave contributions within a fully quantal calculation. Finally, a calculation of the divergence of the quantum flux shows that when absorption is incomplete, the focal region gives a sizeable contribution to nonelastic processes.

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