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Related papers: Chiral-Odd Twist-3 Distribution Function $e(x)$

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We find in one-loop calculations and spectator models that twist-3 GPDs exhibit discontinuities. In the forward limit these discontinuities grow into Dirac delta functions which are essential to satisfy the sum rules involving twist-3 PDFs.…

Nuclear Theory · Physics 2020-01-22 Fatma Aslan , Matthias Burkardt

This manuscript presents the new analysis of recent CLAS and CLAS12 data aimed at the extraction of $e(x)$. This publication benefits from a proof-of-principle analysis of a smaller preliminary data set published in a preprint form in…

High Energy Physics - Phenomenology · Physics 2022-08-17 Aurore Courtoy , Angel Miramontes , Harut Avakian , Marco Mirazita , Silvia Pisano

In the framework of the chiral quark-soliton model of the nucleon we investigate the properties of the polarized quark distribution. In particular we analyse the so called anomalous difference between the representations of the quark…

High Energy Physics - Phenomenology · Physics 2007-05-23 K. Goeke , P. V. Pobylitsa , M. V. Polyakov , P. Schweitzer , D. Urbano

It is widely known that the nucleon scalar charge is proportional to the pion-nucleon sigma term as one of the important low energy observables of QCD. Especially interesting to us is the physics of the nucleon scalar charge densities. This…

High Energy Physics - Phenomenology · Physics 2025-02-06 Masashi Wakamatsu

The Collins function belongs to the class of the so-called time-reversal odd fragmentation functions. Being chiral-odd as well, it can serve as an important tool to observe the nucleon's transversity distribution in semi-inclusive DIS. Due…

High Energy Physics - Phenomenology · Physics 2009-11-07 A. Bacchetta , R. Kundu , A. Metz , P. J. Mulders

We define a number of quark fragmentation functions for spin-0, -1/2 and -1 hadrons, and classify them according to their twist, spin and chirality. As an example of their applications, we use them to analyze semi-inclusive deep-inelastic…

High Energy Physics - Phenomenology · Physics 2009-10-22 Xiangdong Ji

The unpolarized spin-flip isoscalar generalized parton distribution function (E^u+E^d)(x,xi,t) is studied in the large-Nc limit at a low normalization point in the framework of the chiral quark-soliton model. This is the first study of…

High Energy Physics - Phenomenology · Physics 2008-11-26 J. Ossmann , M. V. Polyakov , P. Schweitzer , D. Urbano , K. Goeke

We study the chiral-odd transversity spin-dependent quark distribution function $h_1 (x)$ of the nucleon in a constituent quark model. The twist-2 structure functions, $f_1(x)$, $g_1(x)$ and $h_1(x)$ are calculated within the diquark…

High Energy Physics - Phenomenology · Physics 2009-10-30 K. Suzuki , T. Shigetani

We prove that the twist-3 chiral-odd parton distributions obey simple Gribov-Lipatov-Altarelli-Parisi evolution equations in the limit $N_c\to\infty$ and give analytic results for the corresponding anomalous dimensions. To this end we…

High Energy Physics - Phenomenology · Physics 2009-10-28 I. I. Balitsky , V. M. Braun , Y. Koike , K. Tanaka

The transversity distribution for $u$ and $d$ quarks is usually extracted from data on spin asymmetries in Semi Inclusive Deep Inelastic Scattering (SIDIS): however, due to its chiral odd nature, it has to be coupled to another chiral odd…

High Energy Physics - Phenomenology · Physics 2020-11-18 M. Anselmino , R. Kishore , A. Mukherjee

We study semi-inclusive DIS with a transversely polarized target in the approach of collinear factorization. The effects related with the transverse polarization are at twist-3. We derive the complete result of twist-3 contributions to the…

High Energy Physics - Phenomenology · Physics 2016-02-03 A. P. Chen , J. P. Ma , G. P. Zhang

We carry out a systematic investigation of twist-two spin dependent structure functions of the nucleon within the framework of the chiral quark soliton model (CQSM) by paying special attention to the role of chiral symmetry of QCD. We…

High Energy Physics - Phenomenology · Physics 2007-05-23 M. Wakamatsu

We investigate the twist three distribution function $e(x)$ in light-front Hamiltonian perturbation theory. In light-front gauge, by eliminating the constrained field, we find a mass term, an intrinsic transverse momentum dependent term and…

High Energy Physics - Phenomenology · Physics 2014-11-20 Asmita Mukherjee

We compute the helicity skewed quark distributions $\widetilde{H}$ and $\widetilde{E}$ in the chiral quark-soliton model of the nucleon. This model emphasizes correctly the role of spontaneously broken chiral symmetry in structure of…

High Energy Physics - Phenomenology · Physics 2011-07-19 M. Penttinen , M. V. Polyakov , K. Goeke

We define twist-two and twist-three quark fragmentation functions in Quantum Chromodynamics (QCD) and study their physical implications. Using this formalism we show how the nucleon's transversity distribution can be measured in single pion…

High Energy Physics - Phenomenology · Physics 2010-11-01 R. L. Jaffe , Xiangdong Ji

A formula for the single transverse spin asymmetry in the large-$p_T$ pion production in the nucleon-nucleon collision is derived. We focuss on the chiral-odd contribution where the transversity distribution and the chiral-odd…

High Energy Physics - Phenomenology · Physics 2009-10-31 Y. Kanazawa , Yuji Koike

We present the complete results up to twist-3 for hadron production in the target fragmentation region of semi-inclusive deep inelastic scattering with a polarized lepton beam and polarized nucleon target. The nonperturbative effects are…

High Energy Physics - Phenomenology · Physics 2023-11-23 K. B. Chen , J. P. Ma , X. B. Tong

We construct the evolution equations for the twist-3 chiral-odd spin independent fracture functions in QCD. The Gribov-Lipatov reciprocity relation is fulfilled at the one-loop level for the quasi-partonic two-particle cut vertices only. It…

High Energy Physics - Phenomenology · Physics 2009-10-30 A. V. Belitsky , E. A. Kuraev

The chiral-odd distribution function $h_1$ is discussed in the framework of the renormalon approach. Using a bag-model calculation for $h_1$, we calculate its intrinsic uncertainty due to renormalon poles. The result is given as a function…

High Energy Physics - Phenomenology · Physics 2008-02-03 M. Meyer-Hermann , A. Schäfer

Transversity distribution is one of the three fundamental parton distributions that completely describe polarized spin 1/2 nucleon. Its chiral odd nature prevented for many years its experimental exploration, however presently we have…

High Energy Physics - Phenomenology · Physics 2013-04-03 Alexei Prokudin