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We obtain the exact solution to the Dirac equation with the Poschl-Teller double ring-shaped Coulomb (PTDRSC) potential for any spin-orbit quantum number K. The relativistic scattering amplitude for spin 1/2 particles in the field of this…

Quantum Physics · Physics 2020-09-08 Mahdi Eshghi , Sasan Soudi , Sameer M. Ikhdair

We present a method for extraction of detailed information on polarized quark densities from semi-inclusive deep inelastic scattering l+N -> l+h+X, in both LO and NLO QCD without any assumptions about fragmentation functions and polarized…

High Energy Physics - Phenomenology · Physics 2017-08-23 Ekaterina Christova , Elliot Leader

We consider distributions of unpolarized (polarized) quarks in unpolarized (polarized) hadrons. Our approach is based on QCD factorization. We begin with study of Basic factorization for the parton-hadron scattering amplitudes in the…

High Energy Physics - Phenomenology · Physics 2015-06-01 B. I. Ermolaev , M. Greco , S. I. Troyan

We study the Bjorken `x' (or equivalently Nachtmann `xi') dependence of the virtual photon spin asymmetry in polarized deep inelastic scattering of electrons from hadrons. We use an exactly solved relativistic potential model of the hadron,…

Nuclear Theory · Physics 2014-11-18 Vijay R. Pandharipande , Mark W. Paris , Ingo Sick

We develop the theoretical framework for semi-inclusive deep-inelastic scattering on a polarized spin-1 target and apply it to scattering on the polarized deuteron with spectator nucleon tagging. In Part I (this article) we present the…

High Energy Physics - Phenomenology · Physics 2026-03-26 W. Cosyn , C. Weiss

Inclusive and semi-inclusive deep inelastic leptoproduction offers possibilities to study details of the quark and gluon structure of the hadrons involved. In many of these experiments polarization is an essential ingredient. We also…

Nuclear Theory · Physics 2007-05-23 P. J. Mulders

A continuing mystery in particle physics is the large polarization observed in inclusive hyperon production in high energy p-p collisions. In this paper the authors advance the concept that the polarization effects can be accounted for in a…

High Energy Physics - Phenomenology · Physics 2009-11-11 Homer A. Neal , Eduard De La Cruz Burelo

The parity-violating asymmetries between a longitudinally-polarized electron beam and an unpolarized deuterium target have been measured recently. The measurement covered two kinematic points in the deep inelastic scattering region and five…

We investigate polarization observables in hyperon-nucleon scattering by decomposing scattering amplitudes into spin-space tensors, where each component describes scattering by corresponding spin-dependent interactions, so that…

Nuclear Theory · Physics 2009-11-10 S. Ishikawa , M. Tanifuji , Y. Iseri , Y. Yamamoto

We develop a quantum spin-density-matrix framework for heavy-quark spin dynamics in relativistic heavy-ion collisions. Starting from an initial polarization induced along the magnetic-field direction, we derive the evolution equation for…

High Energy Physics - Phenomenology · Physics 2026-05-08 Sunil Jaiswal , Sourav Dey , Amaresh Jaiswal

We study the Bjorken x dependence of the virtual photon spin asymmetry in polarized deep inelastic scattering of electrons from hadrons. We use an exactly solved relativistic potential model of the hadron, treating the constituents as…

Nuclear Theory · Physics 2014-11-18 V. R. Pandharipande , M. W. Paris , I. Sick

We calculate the inelastic scattering probabilities in the wide band limit of a local polaron model with quadratic coupling to bosons. The central object is a two-particle Green function which is calculated exactly using a purely algebraic…

Materials Science · Physics 2010-03-25 Thomas Olsen

We discuss a new method for obtaining the WKB approximation to the Dirac equation with a scalar potential and a time-like vector potential. We use the WKB solutions to investigate the scaling behavior of a confining model for quark-hadron…

High Energy Physics - Phenomenology · Physics 2014-11-18 J. W. Van Orden , Sabine Jeschonnek , John Tjon

We study the phenomenon of parton-hadron duality in both polarised and unpolarised electron proton scattering using the HERMES and the Jefferson Lab data, respectively. In both cases we extend a systematic perturbative QCD based analysis to…

High Energy Physics - Phenomenology · Physics 2009-11-10 N. Bianchi , A. Fantoni , S. Liuti

We discuss interplay of the scalar and vector diquarks which decide the characteristics of the spin polarization as functions of $p_T$ and $x_F$ in the wide kinematical range. We demonstrate a significant effect of quark masses on the…

High Energy Physics - Phenomenology · Physics 2007-05-23 K. -I. Kubo , K. Suzuki

The semi-inclusive production of identified hadrons in deeply inelastic lepton scattering on polarized nucleons allows to probe the spin structure of the nucleon target in a more detailed level than through fully inclusive processes. We…

High Energy Physics - Phenomenology · Physics 2025-10-02 Leonardo Bonino , Thomas Gehrmann , Markus Löchner , Kay Schönwald , Giovanni Stagnitto

Hadron spectra and other properties of quark systems are studied in the framework of a non-relativistic spin-independent phenomenological model. The chosen confining potential is harmonic, which allowed us to obtain analytical solutions for…

Physics Education · Physics 2018-10-24 Eduardo Cuervo-Reyes , Marcos Rigol , Jesus Rubayo-Soneira

We present a systematic approach for the separation of variables for the two-dimensional Dirac equation in polar coordinates. The three vector potential, which couple to the Dirac spinor via minimal coupling, along with the scalar potential…

Mathematical Physics · Physics 2016-05-06 Hocine Bahlouli , Ahmed Jellal , Youness Zahidi

We examine the interference \gamma Z box corrections to parity-violating elastic electron--proton scattering in the light of the recent observation of quark-hadron duality in parity-violating deep-inelastic scattering from the deuteron, and…

Nuclear Theory · Physics 2017-03-08 N. L. Hall , P. G. Blunden , W. Melnitchouk , A. W. Thomas , R. D. Young

In the past year, polarized deep inelastic scattering experiments at CERN and SLAC have obtained structure function measurements off proton, neutron and deuteron targets at a level of precision never before achieved. The measurements can be…

High Energy Physics - Phenomenology · Physics 2010-04-06 T. Gehrmann , W. J. Stirling