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A quasi classical approximation to quantum mechanical scattering in the Moeller formalism is developed. While keeping the numerical advantage of a standard Classical--Trajectory--Monte--Carlo calculation, our approach is no longer…

Atomic Physics · Physics 2009-11-07 Tihamer Geyer , Jan M. Rost

Imaginary time is often used in quantum tunnelling calculations. This article advocates a conceptually sounder alternative: complex lapse. In the ``3+1'' action for the Einstein gravitational field minimally coupled to a Klein-Gordon field,…

General Relativity and Quantum Cosmology · Physics 2009-10-28 Sean A. Hayward

A classical approximation to time dependent quantum mechanical scattering in the M\o{}ller formalism is presented. Numerically, our approach is similar to a standard Classical-Trajectory-Monte-Carlo calculation. Conceptually, however, our…

Atomic Physics · Physics 2009-11-06 Tihamer Geyer , Jan M Rost

We present complete results for the $O(\alpha_s)$ corrections to the production of a heavy quark pair plus a hard photon, in $e^+ e^-$ annihilation, including both photon and $Z$ intermediate states. Virtual corrections are calculated…

High Energy Physics - Phenomenology · Physics 2009-10-28 L. Magnea , E. Maina

We make a systematic study of $\Lambda$ hyperon polarizations in unpolarized lepton induced semi-inclusive reactions such as $e^-N\to e^-\Lambda X$ and $e^+e^-\to\Lambda h X$. We present the general form of cross sections in terms of…

High Energy Physics - Phenomenology · Physics 2022-03-14 Kai-bao Chen , Zuo-tang Liang , Yu-kun Song , Shu-yi Wei

The master equation describing non-equilibrium one-dimensional problems like diffusion limited reactions or critical dynamics of classical spin systems can be written as a Schr\"odinger equation in which the wave function is the probability…

High Energy Physics - Theory · Physics 2016-09-06 Francisco C. Alcaraz , Michel Droz , Malte Henkel , Vladimir Rittenberg

Inclusive cross-sections for gluon production in collision of two mucleons with two nucleons are studied in the BFKL approach. Various contributions include emission from the pomerons attached to the participants, from the BFKL interactions…

High Energy Physics - Phenomenology · Physics 2015-06-15 M. A. Braun

The method of the factorization of the path integral measure, based on a nonlinear filtering equation, is extended to the case of a nonfree isometric action of the compact semisimple unimodular Lie group on a smooth compact Riemannian…

Mathematical Physics · Physics 2013-01-01 S. N. Storchak

The straightforward calculations of the reaction and interaction cross sections of the nuclear scattering are carried out in Glauber approach using the generating function method. It allows for the resummation of all orders of Glauber…

Nuclear Theory · Physics 2025-04-03 Yu. M. Shabelski , A. G. Shuvaev

A total and differential cross-section calculation for the Electroweak Standard Model reaction $e^+ e^- \rightarrow (Z^0 Z^0) \rightarrow f_1\bar{f_1}f_2\bar{f_2}(\gamma)$\ including the effects of the finite $Z^0$\ width and, for the first…

High Energy Physics - Phenomenology · Physics 2007-05-23 Dietrich Lehner

We derive a path integral expression for the transition amplitude in 1+1-dimensional QCD starting from canonically quantized QCD. Gauge fixing after quantization leads to a formulation in terms of gauge invariant but curvilinear variables.…

High Energy Physics - Theory · Physics 2009-10-30 O. Jahn , T. Kraus , M. Seeger

Most quantum field theories are not exactly solvable. In this paper show the statistical equivalence of the standard exponential path integral to products of Heaviside functions, i.e. a product of specially tuned uniform distributions. This…

General Physics · Physics 2013-07-01 Timothy D. Andersen

We present the details of a new factorized approach to semi-inclusive deep-inelastic scattering which treats QED and QCD radiation on equal footing, and provides a systematically improvable approximation to the extraction of transverse…

High Energy Physics - Phenomenology · Physics 2021-12-08 Tianbo Liu , W. Melnitchouk , Jian-Wei Qiu , N. Sato

The quantum instanton approximation is a type of quantum transition state theory that calculates the chemical reaction rate using the reactive flux correlation function and its low order derivatives at time zero. Here we present several…

Chemical Physics · Physics 2009-11-11 Sandy Yang , Takeshi Yamamoto , William H. Miller

We calculate $O(\alpha_s)$ corrections to inclusive and isolated double prompt photon production, both for the unpolarized case, and for longitudinal polarization of the incoming hadrons. The calculation is performed using purely analytical…

High Energy Physics - Phenomenology · Physics 2014-11-17 Claudio Coriano' , Lionel E. Gordon

The Euclidean path integral quite often involves an action that is not completely real {\it i.e.} a complex action. This occurs when the Minkowski action contains $t$-odd CP-violating terms. Analytic continuation to Euclidean time yields an…

High Energy Physics - Theory · Physics 2008-11-26 Garnik Alexanian , R. MacKenzie , M. B. Paranjape , Jonathan Ruel

We discuss calculations of the inclusive total cross section for heavy quark production at hadron collider energies within the context of perturbative quantum chromodynamics, including resummation of the effects of initial-state soft gluon…

High Energy Physics - Phenomenology · Physics 2009-10-30 Edmond L. Berger , Harry Contopanagos

Within the framework of nonrelativistic quantum chromodynamics, this study examines the electroproduction processes $e+p\to e+B_c+\overline{c}+b$, $e+p\to e+B_s+\overline{s}+b$, and $e+p\to e+D_s+\overline{c}+s$ at lepton-hadron colliders.…

High Energy Physics - Phenomenology · Physics 2025-01-03 Qiwei Hu , Cong-Feng Qiao , Li-Ping Sun

Motivated by the recent observation of double charm quark pair production by the Belle Collaboration, we calculate the complete ${\cal O}(\alpha_{s}^{2})$ inclusive production cross sections for $\eta_{c}$, $J/\psi$, and $\chi_{cJ}$(J=0, 1,…

High Energy Physics - Phenomenology · Physics 2011-03-23 Kui-Yong Liu , Zhi-Guo He , Kuang-Ta Chao

A previous model on inclusive charged-current quasi-elastic nuclear reactions is extended to include neutral- and charged-current nucleon emission reactions. The problem of outgoing nucleon propagation is treated by means of a Monte Carlo…

Nuclear Theory · Physics 2011-02-09 J. Nieves , M. Valverde , M. J. Vicente-Vacas