Improved WKB approximation for quantum tunneling: Application to heavy ion fusion

• Main Authors: Toubiana, A. J, Canto, L. F, Hussein, M. S
• Format: Journal Article
• Language: English
• Published: 09-02-2017
• Subjects: Physics - Atomic Physics; Physics - Nuclear Experiment; Physics - Nuclear Theory
• DOI: 10.48550/arxiv.1612.03014

Europ. Phys. Journal A, 53, (2017) 34 In this paper we revisit the one-dimensional tunneling problem. We consider
Kemble's approximation for the transmission coefficient. We show how this
approximation can be extended to above-barrier energies by performing the
analytical continuation of the radial coordinate to the complex plane. We
investigate the validity of this approximation by comparing their predictions
for the cross section and for the barrier distribution with the corresponding
quantum mechanical results. We find that the extended Kemble's approximation
reproduces the results of quantum mechanics with great accuracy.