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We present new improved parton distributions for the photon. We fit {\bf all} available data on the photon structure function, $F^{\gamma}_{2}(x,Q^2)$, with $Q^2\ge 3$ GeV$^2$, in order to determine the quark distributions. We also pay…

High Energy Physics - Phenomenology · Physics 2011-07-19 L. E. Gordon , J. K. Storrow

New bispectral polynomials orthogonal on a quadratic bi-lattice are obtained from a truncation of Wilson polynomials. Recurrence relation and difference equation are provided. The recurrence coefficients can be encoded in a perturbed…

Classical Analysis and ODEs · Mathematics 2015-11-18 Jean-Michel Lemay , Luc Vinet , Alexei Zhedanov

In this paper we begin a study of the space of unbounded self-adjoint Fredholm operators as a classifying space for K^{1}(X), with the goal of incorporating the information in the eigenspaces and eigenvalues of the operators. In particular,…

K-Theory and Homology · Mathematics 2008-05-31 Ronald G. Douglas , Jerome Kaminker

We present our most recent results on the charmonium spectrum using relativistic Wilson fermions. We study the dependence of the spectrum on the charm quark mass and the Wohlert-Sheikholeslami improvement term.

High Energy Physics - Lattice · Physics 2010-11-19 Aida X. El-Khadra

Based on coupling constants extracted from fitting various data, the selected branching ratios and full widths of rho', rho'', and omega', omega'' resonances are calculated, and some topics on the spectroscopy of these states are discussed.

High Energy Physics - Phenomenology · Physics 2009-11-07 N. N. Achasov , A. A. Kozhevnikov

It is shown how the bilinear differential equations satisfied by Fredholm determinants of integral operators appearing as spectral distribution functions for random matrices may be deduced from the associated systems of nonautonomous…

solv-int · Physics 2007-05-23 J. Harnad

We perform the spectral analysis of a family of Jacobi operators $J(\alpha)$ depending on a complex parameter $\alpha$. If $|\alpha|\neq1$ the spectrum of $J(\alpha)$ is discrete and formulas for eigenvalues and eigenvectors are established…

Spectral Theory · Mathematics 2017-02-07 Petr Siegl , František Štampach

We study the spectrum of permutation orbifolds of 2d CFTs. We find examples where the light spectrum grows faster than Hagedorn, which is different from known cases such as symmetric orbifolds. We also describe how to compute their…

High Energy Physics - Theory · Physics 2017-09-28 Christoph A. Keller , Beatrix J. Mühlmann

I present an overview of some current topics in the measurement of Parton Distribution Functions.

High Energy Physics - Phenomenology · Physics 2015-06-25 Jon Pumplin

This note is devoted to optimal spectral estimates for Schr\"odinger operators on compact connected Riemannian manifolds without boundary. These estimates are based on the use of appropriate interpolation inequalities and on some recent…

Analysis of PDEs · Mathematics 2013-07-25 Jean Dolbeault , Maria J. Esteban , Ari Laptev , Michael Loss

This is a brief review of several algebraic constructions related to generalized fermionic spectra, of the type which appear in integrable quantum spin chains and integrable quantum field theories. We discuss the connection between…

Mathematical Physics · Physics 2014-05-23 Rinat Kedem

Recent results on the spectral properties of the Hermitian Wilson-Dirac operator are presented.

High Energy Physics - Lattice · Physics 2009-10-31 Rajamani Narayanan

Spectra of the second derivative operators corresponding to the special PT-symmetric point interactions are studied. The results are partly the completion of those obtained in [1]. The particular PT-symmetric point interactions causing…

Mathematical Physics · Physics 2009-06-02 Petr Siegl

Recent findings on the spectrum of heavy-quark mesons from computer simulations of quarks and gluons in lattice QCD are summarized, with particular attention to quark-antiquark states bound by an excited gluon field. The validity of a…

Nuclear Theory · Physics 2009-11-10 K. Jimmy Juge , Julius Kuti , Colin Morningstar

The spectrum and the circular polarization of radiation from longitudinally polarized high-energy electrons in oriented single crystal are considered using the method which permits inseparable consideration of both the coherent and the…

High Energy Physics - Phenomenology · Physics 2008-11-26 V. N. Baier , V. M. Katkov

In this work, we perform a covariant treatment of quark-antiquark systems. We calculate the spectra and wave functions using a formalism based on the Covariant Spectator Theory (CST). Our results not only reproduce very well the…

High Energy Physics - Phenomenology · Physics 2017-04-05 Sofia Leitão , Alfred Stadler , M. T. Peña , E. P. Biernat

We give a new characterization of Browders theorem through equality between the pseudo B-Weyl spectrum and the generalized Drazin spectrum. Also, we will give conditions under which pseudo B-Fredholm and pseudo B-Weyl spectrum introduced in…

Spectral Theory · Mathematics 2017-06-20 Mohamed Amouch , Mohamed Karmouni , Abdelaziz Tajmouati

We investigate the spectrum and the essential spectra of weighted automorphisms of the polydisc algebra $\mathbb{A}^n$. In the case $n=2$ we provide a detailed and, in most cases, complete description of these spectra.

Functional Analysis · Mathematics 2024-04-30 Arkady Kitover , Mehmet Orhon

Advances in experiment, theory and phenomenology of hadron spectroscopy are discussed. We focus on specific developments in the meson sector.

High Energy Physics - Phenomenology · Physics 2011-10-05 Adam P. Szczepaniak

In this paper, we give conditions for which the $C_0$ semigroups satisfies spectral equality for semiregular, essentially semiregular and semi-Fredholm spectrum. Also, we establish the spectral inclusion for B-Fredholm spectrum of a $C_0$…

Spectral Theory · Mathematics 2016-01-19 A. Tajmouati , M. Amouch , M. R. F. Alhomidi Zakariya