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Total Cross-sections at very high energies: from protons to photons

A model for both proton and photon total cross-sections is presented and compared with data. The model is based on the eikonal representation, with QCD mini-jets to drive the rise and soft gluon kt-resummation into the Infrared region to…

High Energy Physics - Phenomenology · Physics 2010-01-27 R. M. Godbole , A. Grau , G. Pancheri , Y. N. Srivastava

Predicting proton-nucleus total reaction cross sections up to 300 MeV using a simple functional form

Total reaction cross sections are predicted for proton scattering from various nuclei. A simple functional form has been used that reproduces the total reaction cross sections for the scattering of protons from (15) nuclei spanning the mass…

Nuclear Theory · Physics 2009-11-07 P. K. Deb , K. Amos

Measurement of the Born cross section for $e^+e^- \to p K^- K^- \bar{\Xi}^+$ at $\sqrt{s} =$ 3.5-4.9 GeV

Using $e^+ e^-$ collision data corresponding to a total integrated luminosity of 20 ${\rm fb}^{-1}$ collected with the BESIII detector at the BEPCII collider, we present a measurement of the Born cross section for the process $e^+e^- \to p…

High Energy Physics - Experiment · Physics 2025-11-21 BESIII Collaboration , M. Ablikim , M. N. Achasov , P. Adlarson , X. C. Ai , R. Aliberti , A. Amoroso , Q. An , Y. Bai , O. Bakina , Y. Ban , H. -R. Bao , V. Batozskaya , K. Begzsuren , N. Berger , M. Berlowski , M. Bertani , D. Bettoni , F. Bianchi , E. Bianco , A. Bortone , I. Boyko , R. A. Briere , A. Brueggemann , H. Cai , M. H. Cai , X. Cai , A. Calcaterra , G. F. Cao , N. Cao , S. A. Cetin , X. Y. Chai , J. F. Chang , G. R. Che , Y. Z. Che , G. Chelkov , C. H. Chen , Chao Chen , G. Chen , H. S. Chen , H. Y. Chen , M. L. Chen , S. J. Chen , S. L. Chen , S. M. Chen , T. Chen , X. R. Chen , X. T. Chen , X. Y. Chen , Y. B. Chen , Y. Q. Chen , Y. Q. Chen , Z. J. Chen , Z. K. Chen , S. K. Choi , X. Chu , G. Cibinetto , F. Cossio , J. Cottee-Meldrum , J. J. Cui , H. L. Dai , J. P. Dai , A. Dbeyssi , R. E. de Boer , D. Dedovich , C. Q. Deng , Z. Y. Deng , A. Denig , I. Denysenko , M. Destefanis , F. De Mori , B. Ding , X. X. 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Planckian Scattering of D-Branes

We consider the gravitational scattering of point particles in four dimensions, at Planckian centre of mass energy and low momentum transfer, or the eikonal approximation. The scattering amplitude can be exactly computed by modelling point…

High Energy Physics - Theory · Physics 2009-10-31 Saurya Das , Arundhati Dasgupta , P. Ramadevi , Tapobrata Sarkar

The Compton Scattering Total Cross Section at Next-to-Leading Order

An analytic formula is given for the total scattering cross section of an electron and a photon at order $\alpha^3$. This includes both the double-Compton scattering real-emission contribution as well as the virtual Compton scattering part.…

High Energy Physics - Phenomenology · Physics 2021-06-18 Roman N. Lee , Matthew D. Schwartz , Xiaoyuan Zhang

Nonintersecting Brownian motions on the unit circle

We consider an ensemble of $n$ nonintersecting Brownian particles on the unit circle with diffusion parameter $n^{-1/2}$, which are conditioned to begin at the same point and to return to that point after time $T$, but otherwise not to…

Probability · Mathematics 2016-03-31 Karl Liechty , Dong Wang

Cross section of high-energy photon splitting in the electric fields of heavy atoms

Various differential cross sections of high-energy photon splitting in the electric fields of heavy atoms are calculated exactly in the parameter \al. The consideration is based on the quasiclassical approach applicable for small angles…

High Energy Physics - Phenomenology · Physics 2008-11-26 R. N. Lee , A. I. Milstein , V. M. Strakhovenko

Reaction Cross Section in Heavy-Ion Collisions

Previously a compact formula for total reaction cross section for heavy-ion collisions as a function of energy was obtained by treating the angular momentum $l$ as a continuous variable. The accuracy of the continuum approximation is…

Nuclear Theory · Physics 2012-12-11 Cheuk-Yin Wong

Non-eikonal corrections to dijet production in DIS

We compute non-eikonal corrections to dijet production in deep inelastic scattering off a nucleus. Such corrections are expected to be quantitatively important at the energies of the future Electron Ion Collider. We focus on those…

High Energy Physics - Phenomenology · Physics 2026-03-30 Néstor Armesto , Fabio Domínguez , Adrián Romero

Eikonal amplitudes on the celestial sphere

Celestial scattering amplitudes for massless particles are Mellin transforms of momentum-space scattering amplitudes with respect to the energies of the external particles, and behave as conformal correlators on the celestial sphere.…

High Energy Physics - Theory · Physics 2024-06-21 Tim Adamo , Wei Bu , Piotr Tourkine , Bin Zhu

An Analytical Formulation of CPMAS

An exact expression for the cross polarization between two spin-1/2 particles is derived from the quantum Liouville equation. This is given in the form of two integrodifferential equations. These can be solved exactly in the static case (no…

Chemical Physics · Physics 2007-05-23 F. Marica , R. F. Snider

High-energy dipole scattering amplitude from evolution of low-energy proton light-cone wave functions

The forward scattering amplitude of a small dipole at high energies is given in the mean field approximation by the Balitsky-Kovchegov (BK) evolution equation. It requires an initial condition $N(r; x_0)$ describing the scattering of a…

High Energy Physics - Phenomenology · Physics 2023-06-27 Adrian Dumitru , Heikki Mäntysaari , Risto Paatelainen

Effects of the higher partial waves and relativistic terms on the accuracy of the calculation of the hypertriton electroproduction

We have investigated the accuracies of calculations made by omitting the higher partial waves of nuclear wave functions and the elementary relativistic terms in the hypertriton electroproduction. We found that an accurate calculation would…

Nuclear Theory · Physics 2008-12-18 T. Mart

Validity of the Eikonal Approximation

We summarize results on the reliability of the eikonal approximation in obtaining the high energy behavior of a two particle forward scattering amplitude. Reliability depends on the spin of the exchanged field. For scalar fields the eikonal…

High Energy Physics - Theory · Physics 2008-11-26 Daniel Kabat

$\omega N$ scattering length from $\omega$ photoproduction on the proton near the threshold

Photoproduction of the $\omega$ meson on the proton has been experimentally studied near the threshold. The total cross sections are determined at incident energies ranging from 1.09 to 1.15 GeV. The 1/2 and 3/2 spin-averaged scattering…

Nuclear Experiment · Physics 2020-05-13 T. Ishikawa , H. Fujimura , H. Fukasawa , R. Hashimoto , Q. He , Y. Honda , A. Hosaka , T. Iwata , S. Kaida , A. Kawano , S. Kuwasaki , K. Maeda , S. Masumoto , M. Miyabe , F. Miyahara , K. Mochizuki , N. Muramatsu , A. Nakamura , S. X. Nakamura , K. Nawa , S. Ogushi , Y. Okada , K. Okamura , Y. Onodera , K. Ozawa , Y. Sakamoto , M. Sato , T. Sato , H. Shimizu , H. Sugai , K. Suzuki , Y. Tajima , S. Takahashi , Y. Taniguchi , Y. Tsuchikawa , H. Yamazaki , R. Yamazaki , H. Y. Yoshida

Total cross section and elastic scattering from TEVATRON to LHC

A review of measurements of the total cross section in ppbar collisions at the TEVATRON and an outlook on the expected performance for similar determinations at the LHC is given. The experimental method is based on the optical theorem to…

High Energy Physics - Experiment · Physics 2009-07-20 H. Stenzel

On the role of the magnetic dipolar interaction in cold and ultracold collisions: Numerical and analytical results for NH($^3\Sigma^-$) + NH($^3\Sigma^-$)

We present a detailed analysis of the role of the magnetic dipole-dipole interaction in cold and ultracold collisions. We focus on collisions between magnetically trapped NH molecules, but the theory is general for any two paramagnetic…

Chemical Physics · Physics 2015-05-27 Liesbeth M. C. Janssen , Ad van der Avoird , Gerrit C. Groenenboom

Rational-function interpolation from p-adic evaluations in scattering amplitude calculations

Numerical interpolation techniques are widely employed for calculating large rational functions in scattering amplitude computations. It has been observed in recent years that these rational functions greatly simplify upon partial…

High Energy Physics - Phenomenology · Physics 2024-12-31 Herschel A. Chawdhry

Nonequilibrium total dielectric function approach to the electron Boltzmann equation for inelastic scattering in doped polar semiconductors

This paper describes a simple and general method for deriving the inelastic collision term in the electron Boltzmann equation for scattering from a coupled electron-phonon system, and applies the method to the case of doped polar…

Condensed Matter · Physics 2016-08-31 B. A. Sanborn

Quasiclassical Green function in an external field and small-angle scattering

The quasiclassical Green functions of the Dirac and Klein-Gordon equations in the external electric field are obtained with the first correction taken into account. The relevant potential is assumed to be localized, while its spherical…

High Energy Physics - Phenomenology · Physics 2009-10-31 R. N. Lee , A. I. Milstein , V. M. Strakhovenko