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Related papers: Sommerfeld enhancement for a Yukawa potential

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We study the growth of cosmic structure under the assumption that dark matter self-annihilates with an averaged cross section times relative velocity that grows with the scale factor, an increase known as Sommerfeld-enhancement. Such an…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-11 C. Armendariz-Picon , Jayanth T. Neelakanta

We seek to introduce a mathematical method to derive the relativistic wave equations for two-particle system. According to this method, if we define stationary wave functions as special solutions like…

Mathematical Physics · Physics 2013-10-08 Guangqing Bi , Yuekai Bi

Whether the Efimov effect is possible, in principle, for p-wave or higher partial-wave interactions is a fundamental question. Recently, there has been a claim that three nonrelativistic particles with resonant p-wave interactions exhibit…

Quantum Gases · Physics 2012-08-01 Yusuke Nishida

A new approximation formalism is applied to study the bound states of the Hellmann potential, which represents the superposition of the attractive Coulomb potential $-a/r$ and the Yukawa potential $b\exp (-\delta r)/r$ of arbitrary strength…

Quantum Physics · Physics 2007-05-23 Sameer M. Ikhdair , Ramazan Sever

For over 70 years it has been assumed that scalar wave propagation in (ensemble-averaged) random particulate materials can be characterised by a single effective wavenumber. Here, however, we show that there exist many effective…

Classical Physics · Physics 2019-08-13 Artur Lewis Gower , William J. Parnell , Ian David Abrahams

The perturbation method in supersymmetric quantum mechanics (SUSYQM) is used to study the spheroidal wave functions' eigenvalue problem. Expanding the super-potential in series of the parameter alpha, the first order term of ground…

Quantum Physics · Physics 2009-12-11 Guihui Tian , Shuquan Zhong

We consider a classical system of two-dimensional (2D) charged particles, which interact through a repulsive Yukawa potential $exp(-r/\lambda)/r$, confined in a parabolic channel which limits the motion of the particles in the…

Soft Condensed Matter · Physics 2015-05-19 J. C. N. Carvalho , W. P. Ferreira , G. A. Farias , F. M. Peeters

Radial wave functions for power-law potentials are approximated with the help of power-law substitution and explicit summation of the leading constituent WKB series. Our approach reproduces the correct behavior of the wave functions at the…

Mathematical Physics · Physics 2007-09-27 Vladimir Kudryashov

Consider the transverse magnetic polarization of the electromagnetic scattering of a plane wave by a perfectly conducting plane surface, which contains a two-dimensional subwavelength rectangular cavity. The enhancement is investigated…

Analysis of PDEs · Mathematics 2017-11-21 Yixian Gao , Peijun Li , Xiaokai Yuan

The radiative seesaw model with an inert doublet has been shown to be attractive from a viewpoint of both neutrino masses and cold dark matter. However, if we apply this model to the explanation of the positron excess in the cosmic ray…

High Energy Physics - Phenomenology · Physics 2014-11-20 Daijiro Suematsu , Takashi Toma , Tetsuro Yoshida

Spiral wave formations are ubiquitous in nature. In the present paper, the excitation of spiral waves in the context of driven two-dimensional dusty plasma (Yukawa system) has been demonstrated at particle level using molecular dynamics…

Plasma Physics · Physics 2018-06-13 Sandeep Kumar , Amita Das

We investigate the Sommerfeld enhancement (SE) in the generalized scotogenic model with large electroweak multiplets. We focus on scalar dark matter (DM) candidate of the model and compare DM annihilation cross sections to $WW$, $ZZ$,…

High Energy Physics - Phenomenology · Physics 2017-01-24 Talal Ahmed Chowdhury , Salah Nasri

Matter wave interferometry is becoming an increasingly important technique in quantum metrology. However, unlike its photonic counterpart, this technique relies on the interference of particles possessing a non-zero rest mass and an…

Perturbative partial-wave amplitudes diverge in cases with a massless exchanged particle in the $t$-channel. We argue that the divergence is an artifact of perturbation theory and give a prescription for the all-orders correction factor…

High Energy Physics - Phenomenology · Physics 2025-10-13 Marta Fuentes Zamoro , Benjamín Grinstein , Pablo Quílez

We demonstrate Purcell-like enhancement of Rayleigh scattering into a single optical mode of a Fabry-Perot resonator for several thermal atomic and molecular gases. The light is detuned by more than an octave, in this case by hundreds of…

Quantum Physics · Physics 2010-06-14 Michael Motsch , Martin Zeppenfeld , Pepijn W. H. Pinkse , Gerhard Rempe

Magnetowave induced plasma wakefield acceleration (MPWA) in a relativistic astrophysical outflow has been proposed as a viable mechanism for the acceleration of cosmic particles to ultra high energies. Here we present simulation results…

Astrophysics · Physics 2009-04-08 Feng-Yin Chang , Pisin Chen , Guey-Lin Lin , Kevin Reil , Richard Sydora

Semiclassical behavior of Stark resonances is studied. The complex distortion outside a cone is introduced to study resonances in any energy region for the Stark Hamiltonians with non-globally analytic potentials. The non-trapping resolvent…

Mathematical Physics · Physics 2024-02-06 Kentaro Kameoka

We present a general method for solving the modified Helmholtz equation without shape approximation for an arbitrary periodic charge distribution, whose solution is known as the Yukawa potential or the screened Coulomb potential. The method…

Computational Physics · Physics 2020-03-10 Miriam Hinzen , Edoardo Di Napoli , Daniel Wortmann , Stefan Blügel

Excesses on positron and electron fluxes measured by ATIC, and the PAMELA and Fermi--LAT telescopes can be explained by dark matter annihilation in our Galaxy. However, this requires large boosts on the dark matter annihilation rate. There…

High Energy Physics - Phenomenology · Physics 2013-05-30 Ivone F. M. Albuquerque , Leandro J. Beraldo e Silva , Carlos Pérez de los Heros

We consider a Klein-Gordon-Wave system, describing the evolution of a massive field and a massless one interacting through a Yukawa-like coupling, and we explicitly derive its Hamiltonian normal form to first and second order. To the…

Mathematical Physics · Physics 2026-01-08 Gaia Marangon , Antonio Ponno , Lorenzo Zanelli
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