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Kummer's function, also known as the confluent hypergeometric function (CHF), is an important mathematical function, in particular due to its many special cases, which include the Bessel function, the incomplete Gamma function and the error…

Numerical Analysis · Mathematics 2024-07-08 Alan Herschtal

The eta_c-gamma transition form factor is calculated within a perturbative approach. For the eta_c-meson, a wave function of the Bauer-Stech-Wirbel type is used where the two free parameters, namely the decay constant f(eta_c) and the…

High Energy Physics - Phenomenology · Physics 2010-11-19 Thorsten Feldmann , Peter Kroll

The two-parametric Mittag-Leffler function (MLF), $E_{\alpha,\beta}$, is fundamental to the study and simulation of fractional differential and integral equations. However, these functions are computationally expensive and their numerical…

Numerical Analysis · Mathematics 2019-12-24 Ibrahim O. Sarumi , Khaled M. Furati , Abdul Q. M. Khaliq

Contrary to what was previously believed, two-loop radiative corrections to the $g$-factor of an electron bound in a hydrogen-like ion at $\mathcal{O}\left(\alpha^2 (Z\alpha)^5\right)$ exhibit logarithmic enhancement. This previously…

High Energy Physics - Phenomenology · Physics 2020-11-18 Andrzej Czarnecki , Jan Piclum , Robert Szafron

The eta_c-gamma transition form factor is calculated in a model based on a modified hard scattering approach to exclusive reactions, in which transverse degrees of freedom are taken into account. For the eta_c-meson a distribution amplitude…

High Energy Physics - Phenomenology · Physics 2008-02-03 T. Feldmann , P. Kroll

A framework for computing the superfluid gap in an effective field theory (EFT) of fermions interacting via momentum-independent contact forces is developed. The leading universal corrections in the EFT are one-loop in-medium effects at the…

Nuclear Theory · Physics 2025-01-22 Silas R. Beane , Zeno Capatti , Roland C. Farrell

We investigate enhanced field emission due to a continuous or pulsed oscillating field added to a constant electric field $E$ at the emitter surface. When the frequency of oscillation, field strength, and property of the emitter material…

Plasma Physics · Physics 2016-07-27 Alexander Rokhlenko , Joel L. Lebowitz

The theories of field electron emission from perfectly planar and smooth canonical surfaces are well understood, but they are not suitable for describing emission from rough, irregular surfaces arising in modern nanoscale electron sources.…

Accelerator Physics · Physics 2017-12-21 M. Zubair , Yee Sin Ang , L. K. Ang

Using our previous approach to electromagnetic emission during tunneling, an explicit, essentially classical, formula describing the bremsstrahlung spectrum in alpha decay is derived. The role of tunneling motion in photon emission is…

Nuclear Theory · Physics 2009-10-31 M. I. Dyakonov

The electric field at the surface of a curved emitter is necessary to calculate the field emission current. For smooth parabolic emitting tips where space charge is negligible, variation of the electric field at the surface is known to…

Applied Physics · Physics 2021-12-10 Raghwendra Kumar , Gaurav Singh , Debabrata Biswas

In this paper Maxwell equations are used to analyze the propagation of oscillating electric and magnetic fields from a moving electric dipole source. The results show that both the magnetic field and electric fields generated propagate…

General Physics · Physics 2007-05-23 William D. Walker

A method is derived to obtain an expansion formula for the magnetic field $\boldsymbol{B}(\boldsymbol{r})$ generated by a closed planar wire carrying a steady electric current. The parametric equation of the loop is…

General Physics · Physics 2021-08-18 Robert Salazar , Gabriel Téllez , Camilo Bayona-Roa

One of the most convenient methods to obtain information about the energy distribution function of electrons in conducting materials is the measurement of the energy resolved current $j(\omega)$ in field emission (FE) experiments. Its high…

Strongly Correlated Electrons · Physics 2007-05-23 T. L. Schmidt , A. Komnik

The classic theory of electron field emission from a cold metal surface due to Fowler and Nordheim (FN) is re-examined and found to violate the validity criteria for the WKB approximation, for electric fields greater than about 1V per…

Materials Science · Physics 2015-06-24 T. C. Choy , A. H. Harker , A. M. Stoneham

An analog of the Falconer distance problem in vector spaces over finite fields asks for the threshold $\alpha>0$ such that $|\Delta(E)| \gtrsim q$ whenever $|E| \gtrsim q^{\alpha}$, where $E \subset {\Bbb F}_q^d$, the $d$-dimensional vector…

Classical Analysis and ODEs · Mathematics 2007-11-30 Derrick Hart , Alex Iosevich

This paper presents an elementary, approximate analytical treatment of cold field electron emission (CFE) from a classical nanowall. A simple model is used to bring out some of the basic physics of a class of field emitter where quantum…

Mesoscale and Nanoscale Physics · Physics 2012-09-05 Xizhou Qin , Weiliang Wang , Ningsheng Xu , Zhibing Li , Richard G. Forbes

Force-free electrodynamics (FFE) is a closed set of equations for the electromagnetic field of a magnetically dominated plasma. There are strong arguments for the existence of force-free plasmas near pulsars and active black holes, but FFE…

High Energy Physics - Theory · Physics 2019-05-22 Samuel E. Gralla , Nabil Iqbal

This research sets forth a universal framework to characterize the beamforming gain achievable with arbitrarily nonideal phase shifters. Precisely, the maximum possible shortfall relative to the gain attainable with ideal phase shifters is…

Signal Processing · Electrical Eng. & Systems 2026-01-15 Heedong Do , Angel Lozano

The magnetic field dependence of electron effective mass is an important subject in consideration of physical properties of superconducting ferromagnets URhGe, UCoGe and paramagnet UTe$_2$. It is usually accepted to find this dependence…

Superconductivity · Physics 2023-09-29 V. P. Mineev

Di-Higgs ($hh$) production is crucial for probing the Higgs boson self-interaction and understanding the electroweak phase transition. Deviations from Standard Model predictions in $hh$ gluon-gluon fusion (ggF) can be systematically…

High Energy Physics - Phenomenology · Physics 2025-08-12 L. Cadamuro , T. Ingebretsen Carlson , J. Sjölin
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