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- W1964957788 endingPage "2465" @default.
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- W1964957788 abstract "The problem of heavy-ion fusion reactions in the one-dimensional barrier penetration model (BPM) has been reexamined in light of supersymmetry-inspired WKB (SWKB) method. Motivated by our recent work [Phys. Lett. A 184, 209 (1994)] describing the SWKB method for the computation of the transmission coefficient T(E), we have performed similar calculations for a potential barrier that mimics the proximity potential obtained by fitting experimentally measured fusion cross section ${mathrm{ensuremath{sigma}}}_{mathit{F}}$(E) for the light-light and light-heavy systems. For illustration, we have first dealt with an analytically solvable potential which interpolates between two well-known nuclear barriers such as the Morse and the Eckart for two limiting values of the free parameter of the potential. Comparison of the predicted T(E) with the exact analytic ones reveals that the present scheme yields consistently better results than those obtained from the WKB approximation. Furthermore, in contrast to the WKB method, analytic continuation of our SWKB transmission coefficient for the corresponding potential well (obtained through the inversion procedure) leads to exact energy eigenvalues. We have further studied the energy dependence of the total fusion cross section for different processes such as $^{16}mathrm{O}$${+}^{12}$C${,}^{19}$F+ $^{12}mathrm{C}$${,}^{16}$O${+}^{208}$Pb, and $^{16}mathrm{O}$ with even isotopes of Sm, using a parametrized potential barrier suggested by Ahmed. The predicted cross sections are in agreement with values obtained from the WKB method and with direct experimental measurements for the beam energy near and above the Coulomb barrier. In the case of sub-barrier fusion, our results are substantially better than those given by the Hill-Wheeler parabolic approximation which overestimates ${mathrm{ensuremath{sigma}}}_{mathit{F}}$(E), especially for the light-ion systems." @default.
- W1964957788 created "2016-06-24" @default.
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- W1964957788 date "1994-11-01" @default.
- W1964957788 modified "2023-09-23" @default.
- W1964957788 title "Role of the supersymmetric semiclassical approach in barrier penetration and heavy-ion fusion" @default.
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- W1964957788 doi "https://doi.org/10.1103/physrevc.50.2458" @default.
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