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We construct the invisible quantum barrier which represents the phenomenon of quantum reflection using the available data. We use the Abel equation to invert the data. The resulting invisible quantum barrier is double-valued in both axes.…

Other Condensed Matter · Physics 2009-11-13 J. X. de Carvalho , M. S. Hussein , Weibin Li

We construct the invisible quantum barrier which represents the phenomenon of quantum reflection using the available data. We use the Abel equation to invert the data. The resulting invisible quantum barrier is double-valued in both axes.…

Atomic Physics · Physics 2013-05-29 J. X. de Carvalho , M. S. Hussein , Weibin Li

We calculate the differential, total, and transport cross-sections for scattering of two-dimensional massless Dirac electrons by a circular barrier. For scatterer of a small radius, the cross-sections are dominated by quantum effects such…

Mesoscale and Nanoscale Physics · Physics 2014-12-02 Jhih-Sheng Wu , Michael M. Fogler

A curious effect is uncovered by calculating the it time evolving probability of reflection of a Gaussian wave packet from a rectangular potential barrier while it is perturbed by reducing its height. A time interval is found during which…

Quantum Physics · Physics 2009-11-07 S. Bandyopadhyay , A. S. Majumdar , D. Home

Scattering or tunneling of an electron at a potential barrier is a fundamental quantum effect. Electron-electron interactions often affect the scattering, and understanding of the interaction effect is crucial in detection of various…

Mesoscale and Nanoscale Physics · Physics 2022-11-10 Sungguen Ryu , H. -S. Sim

With the quantum diffusion approach the behavior of capture cross sections and mean-square angular momenta of captured systems are revealed in the reactions with deformed and spherical nuclei at sub-barrier energies. With decreasing…

Nuclear Theory · Physics 2017-03-22 V. V. Sargsyan , R. A. Kuzyakin , G. G. Adamian , N. V. Antonenko , W. Scheid , H. Q. Zhang

We develop an Over Barrier Model for computing charge exchange between ions and one-active-electron atoms at low impact energies. The main feature of the model is the treatment of the barrier crossing process by the electron within a…

Atomic Physics · Physics 2007-05-23 F. Sattin

Quantum electrodynamics near a boundary is investigated by considering the inertial mass shift of an electron near a dielectric or conducting surface. We show that in all tractable cases the shift can be written in terms of integrals over…

Quantum Physics · Physics 2012-12-14 Robert Bennett , Claudia Eberlein

The sub-barrier fusion hindrance has been observed in the domain of very low energies of astrophysical relevance. This phenomenon can be analyzed effectively using an uncomplicated straightforward elegant mathematical formula gleaned…

Nuclear Theory · Physics 2023-04-10 Vinay Singh , Joydev Lahiri , Partha Roy Chowdhury , D. N. Basu

Quantum mechanics predicts an exponentially small probability that a particle with energy greater than the height of a potential barrier will nevertheless reflect from the barrier in violation of classical expectations. This process can be…

Quantum Physics · Physics 2015-05-14 R. L. Jaffe

Cross sections for $^{40}$Ca + $\alpha$ at low energies have been calculated from two different models and three different $\alpha$-nucleus potentials. The first model determines the cross sections from the barrier transmission in a real…

Nuclear Theory · Physics 2019-07-24 Peter Mohr

We study the total photodetachment cross section of H$^-$ near a repulsive center. An analytical formula for the photodetachment cross section is obtained using the standard closed-orbit theory and extending it to the energy range below the…

Atomic Physics · Physics 2013-08-19 B. C. Yang , J. B. Delos , M. L. Du

Spin-conserving and spin-flip opaque reflections of electrons from a potential barrier in heterostructures are described. An electric field of the barrier is considered to be the only source of energy spin splitting in the presence of…

Mesoscale and Nanoscale Physics · Physics 2023-07-19 Pawel Pfeffer , Wlodek Zawadzki

We show the photodetachment cross sections of H near a metal surface can be modified using a weak static electric field. The modification is possible because the oscillatory part of the cross section near a metal surface is directly…

Atomic Physics · Physics 2010-02-06 B. C. Yang , M. L. Du

We re-examine the well-known Wong formula for heavy-ion fusion cross sections. Although this celebrated formula yields almost exact results for single-channel calculations for relatively heavy systems such as $^{16}$O+$^{144}$Sm, it tends…

Nuclear Theory · Physics 2015-03-27 N. Rowley , K. Hagino

Recent advances obtained in the field of near and sub-barrier heavy-ion fusion reactions are reviewed. Emphasis is given to the results obtained in the last decade, and focus will be mainly on the experimental work performed concerning the…

Nuclear Experiment · Physics 2017-09-13 Giovanna Montagnoli , Alberto M. Stefanini

The description of threshold fragmentation under long range repulsive forces is presented. The dominant energy dependence near threshold is isolated by decomposing the cross section into a product of a back ground part and a barrier…

Atomic Physics · Physics 2009-10-31 Jan M. Rost

At energies below the Coulomb barrier, the fusion excitation function for the $^{12}$C+$^{12}$C system shows prominent fine structures, whereas that for the $^{12}$C+$^{13}$C system behaves more smoothly as a function of energy. We…

Nuclear Theory · Physics 2015-06-23 K. Hagino , N. Rowley

We present an analytic example of two dimensional quantum mechanical system, where the exponential suppression of the probability of over-barrier reflection changes non-monotonically with energy. The suppression is minimal at certain…

Quantum Physics · Physics 2007-09-25 D. G. Levkov , A. G. Panin , S. M. Sibiryakov

The influence on the fusion process of coupling to collective degrees of freedom has been explored. The significant enhancement of the fusion cross section at sub-barrier energies was compared to predictions of one-dimensional barrier…

Nuclear Theory · Physics 2008-11-26 C. Beck
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