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Related papers: CLASSICAL PHOTOABSORPTION SUM RULES

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The ALEPH data on the vector and axial-vector spectral functions, extracted from tau-lepton decays is used in order to test local and global duality, as well as a set of four QCD chiral sum rules. These are the Das-Mathur-Okubo sum rule,…

High Energy Physics - Phenomenology · Physics 2009-10-31 C. A. Dominguez , K. Schilcher

The surprising results by the BarBar collaboration on the $\pi\gamma$ transition form factor require new thoughts about the high-$Q^2$ dependence of the form factors with virtual photons. We make use of the anomaly sum rule [J. Horejsi and…

High Energy Physics - Phenomenology · Physics 2012-04-03 Dmitri Melikhov , Berthold Stech

Sampling is a basic operation in image processing. In classic literature, a morphological sampling theorem has been established, which shows how sampling interacts by morphological operations with image reconstruction. Many aspects of…

Image and Video Processing · Electrical Eng. & Systems 2023-05-23 Vivek Sridhar , Michael Breuß

Shell-model calculations of the electric dipole (E1) polarizability have been performed for the ground state of selected p- and sd-shell nuclei, substantially advancing previous knowledge. Our results are slightly larger compared with the…

Nuclear Theory · Physics 2023-09-19 José Nicolás Orce , Cebo Ngwetsheni , B. Alex Brown

We prove the bijectivity of the constraints of normalization and of the Fermi-Coulomb hole charge sum rule at each electron position for approximate wave functions. This bijectivity is surprising in light of the fact that normalization…

Chemical Physics · Physics 2007-05-23 Xiao-Yin Pan , Viraht Sahni , Lou Massa

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

A sum rule for the first frequency moment of the optical absorption of a many-polaron system is derived, taking into account many-body effects in the system of constituent charge carriers of the many-polaron system. In our expression for…

Strongly Correlated Electrons · Physics 2009-10-31 J. Tempere , J. T. Devreese

It has been shown, in the case of meson photoproduction, that the power-law falloff of these reactions can be described by lowest order (real) sum rules, at moderate momentum transfer. The phases of these processes, in this regime, are…

High Energy Physics - Phenomenology · Physics 2009-10-28 Claudio Coriano'

The Drell-Hearn-Gerasimov and Bjorken sum rules are special examples of dispersive sum rules for the spin-dependent structure function G_1(\nu, Q^2) at Q^2=0 and \infty. We generalize these sum rules through studying the virtual-photon…

High Energy Physics - Phenomenology · Physics 2008-11-26 Xiangdong Ji , Jonathan Osborne

Recently, Son and Stephanov have considered an "open moose" as a possible dual model of a QCD-like theory of chiral symmetry breaking. In this note we demonstrate that although the Weinberg sum rules are satisfied in any such model, the…

High Energy Physics - Phenomenology · Physics 2010-02-03 R. Sekhar Chivukula , Masafumi Kurachi , Masaharu Tanabashi

We deduce momentum sum rules for the parton structure functions of a photon target. Non-perturbative QCD contribution to the momentum sum rules follows from conservation of the energy--momentum tensor and it is calculated through the…

High Energy Physics - Phenomenology · Physics 2007-05-23 L. L. Frankfurt , E. G. Gurvich

Absorption and emission in inorganic bipolar solar cells based on low dimensional structures exhibiting the effects of quantum confinement is investigated in the framework of a comprehensive microscopic theory of the optical and electronic…

Mesoscale and Nanoscale Physics · Physics 2009-12-09 U. Aeberhard , U. Rau

We construct new dispersive sum rules for the effective field theory of the standard model at mass dimension six. These spinning sum rules encode information about the spin of UV states: the sign of the IR Wilson coefficients carries a…

High Energy Physics - Phenomenology · Physics 2022-09-08 Grant N. Remmen , Nicholas L. Rodd

In the equilibrium statistical mechanics of classical Coulomb fluids, the long-range tail of the Coulomb potential gives rise to the Stillinger-Lovett sum rules for the charge correlation functions. For the jellium model of mobile particles…

Statistical Mechanics · Physics 2009-11-13 L. Samaj

We derive two sum rules by studying the low energy Compton scattering on a target of arbitrary (nonzero) spin j. In the first sum rule, we consider the possibility that the intermediate state in the scattering can have spin |j \pm 1| and…

High Energy Physics - Theory · Physics 2012-10-11 Hovhannes R. Grigoryan , Massimo Porrati

Photoabsorption cross sections for 235 stable nuclei, ranging from $^{40}$Ca to $^{209}$Bi, were investigated by the quasiparticle finite amplitude method (QFAM) based on the axially deformed relativistic Hartree-Bogoliubov (RHB) approach…

Nuclear Theory · Physics 2025-06-25 C. Chen , Y. F. Niu , R. Xu , Y. Tian

Borel transformed QCD sum rules conventionally use a real valued parameter (the Borel mass) for specifying the exponential weight over which hadronic spectral functions are averaged. In this paper, it is shown that the Borel mass can be…

High Energy Physics - Phenomenology · Physics 2014-07-09 Ken-Ji Araki , Keisuke Ohtani , Philipp Gubler , Makoto Oka

We elaborate on a recently proposed extension of the Gerasimov-Drell-Hearn (GDH) sum rule which is achieved by taking derivatives with respect to the anomalous magnetic moment. The new sum rule features a {\it linear} relation between the…

High Energy Physics - Phenomenology · Physics 2014-11-18 B. R. Holstein , V. Pascalutsa , M. Vanderhaeghen

As is well known the absorption of circularly polarized light in semiconductors results in optical orientation of electron spins and helicity-dependent electric photocurrent, and the absorption of linearly polarized light is accompanied by…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 S. A. Tarasenko , E. L. Ivchenko

In the leading order of the heavy quark expansion, we propose a method within the OPE and the trace formalism, that allows to obtain, in a systematic way, Bjorken-like sum rules for the derivatives of the elastic Isgur-Wise function…

High Energy Physics - Phenomenology · Physics 2011-01-25 A. Le Yaouanc , L. Oliver , J. -C. Raynal