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We study relativistic nuclear matter in the $\sigma - \omega$ model including the ring-sum correlation energy. The model parameters are adjusted self-consistently to give the canonical saturation density and binding energy per nucleon with…

Nuclear Theory · Physics 2008-11-26 J. A. McNeil , C. E. Price , J. R. Shepard

The amplitude of zero angle scattering of electron on photon in the 3-rd QED order of fine structure constant with $\gamma^*\gamma$ intermediate state converting into quark--antiquark is considered. Utilizing analytic properties of elastic…

High Energy Physics - Phenomenology · Physics 2008-11-26 E. Bartos , S. Dubnicka , A. Z. Dubnickova , E. A. Kuraev

Nuclear saturation and the symmetry energy are key properties of low-energy nuclear physics that depend on fine details of the nuclear interaction. The equation-of-state around saturation is also an important anchor for extrapolations to…

Nuclear Theory · Physics 2024-06-18 W. G. Jiang , C. Forssén , T. Djärv , G. Hagen

Two topics in heavy quark expansion are discussed. The heavy quark potential in perturbation theory is reviewed in connection to the problem of the heavy quark mass. The nontrivial reason behind the failure of the "potential subtracted"…

High Energy Physics - Phenomenology · Physics 2008-11-26 Nikolai Uraltsev

We derive a set of sum rules for the light-by-light scattering and fusion: $\gamma\gamma \to all$, and verify them in lowest order QED calculations. A prominent implication of these sum rules is the superconvergence of the…

High Energy Physics - Phenomenology · Physics 2010-12-02 Vladimir Pascalutsa , Marc Vanderhaeghen

The Goldberger-Miyazawa-Oehme sum rule is used to extract the pion-nucleon coupling constant from experimental $\pi$N information. Chiral perturbation theory is exploited in relating the pionic hydrogen s-wave level shift and width results…

High Energy Physics - Phenomenology · Physics 2008-11-26 V. V. Abaev , P. Metsä , M. E. Sainio

QCD sum rules are useful tools for studying the spectral properties of hadrons; however, assumptions underlying standard sum-rule analyses can lead to inconsistencies with known results of chiral perturbation theory. This possibility is…

High Energy Physics - Phenomenology · Physics 2009-10-28 David K. Griegel , Thomas D. Cohen

Quasielastic electromagnetic and parity-violating electron scattering response functions of relativistic nuclear matter are reviewed. The roles played by the Hartree-Fock field and by nuclear correlations in the Random Phase Approximation…

Nuclear Theory · Physics 2007-05-23 M. B. Barbaro , A. De Pace , T. W. Donnelly , A. Molinari

The nonperturbative $Q^2$- dependence of the sum rules for the structure functions of polarized $e(\mu)N$ scattering is discussed. The determination of twist-4 corrections to the structure functions at high $Q^2$ by QCD sum rules is…

High Energy Physics - Phenomenology · Physics 2011-04-15 B. L. Ioffe

High energy beams incident on a fixed target may scatter against atomic electrons. To a first approximation, one can treat these electrons as at rest. For precision experiments, however, it is important to be able to estimate the size of,…

High Energy Physics - Phenomenology · Physics 2024-09-24 Ryan Plestid , Mark B. Wise

This review outlines our present experimental knowledge and theoretical understanding of deep-inelastic scattering on nuclear targets. The emphasis is primarily on nuclear coherence phenomena, such as shadowing, where the key physics issue…

High Energy Physics - Phenomenology · Physics 2009-10-31 Gunther Piller , Wolfram Weise

It is shown, how the normalization sum rules of the spin-parallel and spin-antiparallel pair densities of the homogeneous electron gas become sum rules for the scattering phase shifts of the Overhauser two-body wave functions (geminals),…

Strongly Correlated Electrons · Physics 2007-05-23 Paul Ziesche

The ancient problem of the saturation of symmetric nuclear matter is reviewed with an update on the status of the crises that were identified at an early stage by John Clark. We discuss how the initial problem with variational calculations…

Nuclear Theory · Physics 2016-05-25 W. H. Dickhoff

The generalized second law (GSL) of black hole thermodynamics states that the sum of changes in black hole entropy and the ordinary entropy of matter and fields outside the hole must be non-negative. In the classical limit, the GSL reduces…

General Relativity and Quantum Cosmology · Physics 2013-05-28 Christopher Eling , Jacob D. Bekenstein

Two properties of the radiation emitted by a relativistic electron in an external field, in the classical approximation, are presented in details: 1) spectral sum rules and their relationship with the sum rules for oscillator strength in…

High Energy Physics - Phenomenology · Physics 2020-06-24 Xavier Artru

We summarise the perturbative QCD analysis of the structure function data for g_1 from longitudinally polarized deep inelastic scattering from proton, deuteron and neutron targets, with particular emphasis on testing sum rules, determining…

High Energy Physics - Phenomenology · Physics 2007-05-23 Richard D. Ball , Giovanni Ridolfi , Guido Altarelli , Stefano Forte

We present recent results from Jefferson Lab on sum rules related to the spin structure of the nucleon. We then discuss how the Bjorken sum rule, with its connection to the Gerasimov-Drell-Hearn sum, allows us to conveniently define an…

Nuclear Experiment · Physics 2015-05-13 A. Deur

An overview of the current theoretical studies on neutrino-atom scattering processes is presented. The ionization channel of these processes, which is studied in experiments searching for neutrino magnetic moments, is brought into focus.…

High Energy Physics - Phenomenology · Physics 2014-12-04 Konstantin A. Kouzakov , Alexander I. Studenikin

I present a review of the recent advancements in scattering theory, which provides a unified approach to studying dispersive and hyperbolic equations with general interaction terms and data. These equations encompass time-dependent…

Mathematical Physics · Physics 2024-08-27 Avy Soffer

Considering the magnetic moment and polarizabilities of the nucleon we emphasize the need for relativistic chiral EFT calculations. Our relativistic calculations are done via the forward-Compton-scattering sum rules, thus ensuring the…

Nuclear Theory · Physics 2014-11-18 Vladimir Pascalutsa