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We provide a detailed account of the methods and calculations for the third-order corrections to the S-wave Green function from heavy-quark potentials other than the Coulomb potential. The results of this paper are relevant to the…

High Energy Physics - Phenomenology · Physics 2024-09-11 M. Beneke , Y. Kiyo

We compute the third-order correction to the S-wave quarkonium wave functions |\psi_n(0)|^2 at the origin from non-Coulomb potentials in the effective non-relativistic Lagrangian. Together with previous results on the Coulomb correction and…

High Energy Physics - Phenomenology · Physics 2010-04-05 M. Beneke , Y. Kiyo , K. Schuller

We report on our result of third order Coulomb correction to the cross section sigma(ee -> ttbar) near threshold. Analytic expression for the Coulomb energy and wave function at the origin are obtained. We discuss the significance of the…

High Energy Physics - Phenomenology · Physics 2011-06-24 Y. Kiyo

The next-to-leading order (NLO) P-wave Coulomb Green function contributes at third-order to top-pair production in e+ e- collisions near threshold. In this paper we compute the NLO P-wave Green function in dimensional regularization, as…

High Energy Physics - Phenomenology · Physics 2014-02-03 M. Beneke , J. Piclum , T. Rauh

We compute the third-order corrections to the heavy quarkonium spectrum and production/annihilation rates due to the leading renormalization group running of the static potential. The previously known complete ${\cal O}(m_q\alpha_s^5)$…

High Energy Physics - Phenomenology · Physics 2009-11-11 A. A. Penin , V. A. Smirnov , M. Steinhauser

First correction to the high-energy asymptotics of the total $e^+e^-$ photoproduction cross section in the electric field of a heavy atom is obtained with the exact account of this field. The consideration is based on the use of the…

High Energy Physics - Phenomenology · Physics 2007-05-23 R. N. Lee , A. I. Milstein , V. M. Strakhovenko

This is the first in a series of papers, in which we compute the third-order QCD corrections to top-antitop production near threshold in e+ e- collisions. The present paper provides a detailed outline of the strategy of computation in the…

High Energy Physics - Phenomenology · Physics 2024-09-11 M. Beneke , Y. Kiyo , K. Schuller

We report calculations of Delbr\"uck scattering that include all-order Coulomb corrections for photon energies above the threshold of electron-positron pair creation. Our approach is based on the application of the Dirac-Coulomb Green…

Atomic Physics · Physics 2023-10-20 J. Sommerfeldt , V. A. Yerokhin , Th. Stöhlker , A. Surzhykov

Starting from an asymptotically correct three-body Coulomb wave-function, we determine the effect of Coulomb final state interaction on the three-particle Bose-Einstein correlation function of similarly charged particles. We numerically…

High Energy Physics - Phenomenology · Physics 2019-08-17 E. O. Alt , T. Csörgö , B. Lörstad , J. Schmidt-Sørensen

Recently we have computed the third order corrections to the ground state energy of the arbitrarily polarized diluted gas of spin 1/2 fermions interacting through a spin-independent repulsive two-body potential. Here we extend this result…

Quantum Gases · Physics 2023-07-05 Piotr H. Chankowski , Jacek Wojtkiewicz , Szymon Augustynowicz

The effect of multi-particle Coulomb final state interactions on higher-order intensity correlations is determined in general, based on a scattering wave function which is solution of the n-body Coulomb Schr\"odinger equation in (a large…

Nuclear Theory · Physics 2011-09-13 E. O. Alt , T. Csorgo , B. Lorstad , J. Schmidt-Sorensen

First correction to the high-energy asymptotics of the total $e^+e^-$ photoproduction cross section in the electric field of a heavy atom is derived with the exact account of this field. The consideration is based on the use of the…

High Energy Physics - Phenomenology · Physics 2009-02-05 R. N. Lee , A. I. Milstein , V. M. Strakhovenko

We present a theoretical method to calculate Delbr\"uck scattering amplitudes. Our formalism is based on the exact analytical Dirac-Coulomb Green's function and, therefore, accounts for the interaction of the virtual electron-positron pair…

High Energy Physics - Theory · Physics 2022-01-06 J. Sommerfeldt , V. A. Yerokhin , R. A. Müller , V. A. Zaytsev , A. V. Volotka , A. Surzhykov

In this talk I review the calculation of the third order corrections to the heavy quarkonium spectrum in the nonrelativistic effective theory framework and its application to the phenomenology of top quark threshold production.

High Energy Physics - Phenomenology · Physics 2009-11-07 A. A. Penin

We obtain the exact energy spectra and corresponding wave functions of the radial Schr\"odinger equation (RSE) for any (n,l) state in the presence of a combination of psudoharmonic, Coulomb and linear confining potential terms using an…

Quantum Physics · Physics 2011-10-04 Sameer M. Ikhdair

The differential and partially integrated cross sections are considered for bremsstrahlung from high-energy electrons in atomic field with the exact account of this field. The consideration exploits the quasiclassical electron Green's…

High Energy Physics - Phenomenology · Physics 2009-11-10 R. N. Lee , A. I. Milstein , V. M. Strakhovenko , O. Ya. Schwarz

The third-order particle-hole ring diagrams are evaluated for a NN-contact interaction of the Skyrme type. The pertinent four-loop coefficients in the energy per particle $\bar E(k_f) \sim k_f^{5+2n}$ are reduced to double-integrals over…

Nuclear Theory · Physics 2017-08-23 N. Kaiser

Correlation effects in the transport properties of a single quantum level coupled to electron reservoirs are discussed theoretically using a non-equilibrium Green functions approach. Our method is based on the introduction of a second-order…

Condensed Matter · Physics 2016-08-14 A. Levy Yeyati , A. Martín-Rodero , F. Flores

We present the third-order QCD prediction for the production of top-anti-top quark pairs in electron-positron collisions close to the threshold in the dominant S-wave state. We observe a significant reduction of the theoretical uncertainty…

High Energy Physics - Phenomenology · Physics 2015-11-11 Martin Beneke , Yuichiro Kiyo , Peter Marquard , Jan Piclum , Alexander Penin , Matthias Steinhauser

We discuss the elementary physics of the final state Coulomb interactions in Hanbury-Brown Twiss interferometry, showing -- with explicit comparison to E877 data for $\pi^+\pi^-$ and $\pi^\pm p$ -- that the Coulomb corrections in the pair…

Nuclear Theory · Physics 2009-10-30 G. Baym , P. Braun-Munzinger
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