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We evaluate the twisted first moment of central values of the product of a quadratic Dirichlet $L$-function and a quadratic twist of a modular $L$-function.

Number Theory · Mathematics 2024-03-19 Peng Gao , Liangyi Zhao

The second moments of the quark structure functions of the longitudinally and transversally polarized rho-mesons are calculated in the framework of QCD sum rules in external fields. Operators of dimension 4 and 6 are taken into account. The…

High Energy Physics - Phenomenology · Physics 2010-02-03 A. Oganesian , A. Samsonov

We reconsider the option of extracting the transversity distribution by using interference fragmentation functions into two leading hadrons inside the same current jet. To this end, we perform a new study of two-hadron fragmentation…

High Energy Physics - Phenomenology · Physics 2009-11-07 Alessandro Bacchetta , Marco Radici

Bifurcation theory and continuation methods are well-established tools for the analysis of nonlinear mechanical systems subject to periodic forcing. We illustrate the added value and the complementary information provided by singularity…

Classical Physics · Physics 2017-03-08 G. I. Cirillo , G. Habib , G. Kerschen , R. Sepulchre

Over the past decade measurements of unpolarized structure functions at Jefferson Lab with unprecedented precision have significantly advanced our knowledge of nucleon structure. These have for the first time allowed quantitative tests of…

Nuclear Experiment · Physics 2015-05-27 M. E. Christy , W. Melnitchouk

We perform a global analysis of neutron F2n structure function data, obtained by combining proton and deuteron measurements over a large range of kinematics. From these data the lowest moments (n <= 10) of the leading twist neutron F2n…

High Energy Physics - Phenomenology · Physics 2014-11-18 M. Osipenko , W. Melnitchouk , S. Simula , S. Kulagin , G. Ricco

Quark-hadron duality and its potential applications are discussed. We focus on theoretical efforts to model duality.

High Energy Physics - Phenomenology · Physics 2017-08-23 Sabine Jeschonnek , J. W. Van Orden

We investigate when a linear functional $L$ defined on a linear subspace $B$ of a unital commutative real algebra $A$ admits an integral representation w.r.t. a positive Radon measure supported on a closed subset $K$ of the character space…

Functional Analysis · Mathematics 2024-01-31 Raul E. Curto , Mehdi Ghasemi , Maria Infusino , Salma Kuhlmann

Inclusive electron-proton and electron-deuteron inelastic cross sections have been measured at Jefferson Lab (JLab) in the resonance region, at large Bjorken x, up to 0.92, and four-momentum transfer squared Q2 up to 7.5 GeV2 in the…

Nuclear Experiment · Physics 2012-08-27 116 Collaboration , S. P. Malace

In this paper, we present for the first time comprehensive and detailed results on the correspondence between the extrapolated deep inelastic structure function $g_1$ of both the proton and the neutron with the same quantity measured in the…

Nuclear Experiment · Physics 2023-04-12 Victoria Lagerquist , Sebastian E. Kuhn , Nobuo Sato

An exotic approach to hadrons is discussed. It is based on the recently developed open-closed string duality explicitly conjectured as the AdS/CFT correspondence. Mesons as well as pentaquarks are studied in this approach. Spins are…

High Energy Physics - Phenomenology · Physics 2008-11-26 Masako Bando , Yoko Fukase , Jonathan Shock , Akio Sugamoto , Sachiko Terunuma

We separate the contributions of parton distributions from higher twist corrections to the deeply inelastic lepton-proton scattering in the resonance region using the Jefferson Lab data at low $Q^2$. The study indicates that the concept of…

High Energy Physics - Phenomenology · Physics 2016-10-12 Jianhong Ruan , Rong Wang , Xurong Chen , Wei Zhu

To identify some way to measure the quark transversity, this thesis analyzes one-particle and two-particle inclusive deep inelastic scattering, where one and two of the outgoing hadrons are detected in coincidence with the electron. It is…

High Energy Physics - Phenomenology · Physics 2009-09-29 A. Bacchetta

We review some selected recent results on hadron spectroscopy and related theoretical studies based on constituent quark models.

High Energy Physics - Phenomenology · Physics 2009-01-08 A. Valcarce , J. Vijande , P. Gonzalez , H. Garcilazo

We discuss the properties of fragmentation functions arising from the interference of two leading hadrons produced inside the same jet in the current fragmentation region of a hard process. For the case of semi-inclusive Deep Inelastic…

High Energy Physics - Phenomenology · Physics 2009-11-07 M. Radici

The Fock-space Hamiltonian truncation method is developed further, paying particular attention to the treatment of the scalar field zero mode. This is applied to the two-dimensional Phi^4 theory in the phase where the Z_2-symmetry is…

High Energy Physics - Theory · Physics 2019-04-03 Slava Rychkov , Lorenzo G. Vitale

The QCD-coupling is a necessary input in the computation of many observables, and the parametric error on input parameters can be a dominant source of uncertainty. The coupling can be extracted by comparing high order perturbative…

High Energy Physics - Lattice · Physics 2022-03-16 Leonardo Chimirri , Rainer Sommer

Structure functions of polarized spin-1 hadrons will be measured at various accelerator facilities in the near future. Recently, transverse-momentum-dependent and collinear parton distribution functions were theoretically proposed at twist…

High Energy Physics - Phenomenology · Physics 2022-01-27 S. Kumano , Qin-Tao Song

We show possible transverse-momentum-dependent parton distribution functions (TMDs) for spin-1 hadrons including twist-3 and 4 functions in addition to the leading twist-2 ones by investigating all the possible decomposition of a quark…

High Energy Physics - Phenomenology · Physics 2021-05-12 S. Kumano , Qin-Tao Song

Combining data on unpolarized and polarized inclusive proton structure functions, we perform the first detailed study of quark-hadron duality in individual helicity-1/2 and 3/2 virtual photoproduction cross sections. We find that duality is…

Nuclear Theory · Physics 2011-04-05 S. P. Malace , W. Melnitchouk , A. Psaker