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We consider the gravitational Wilsonian effective action at low energy when all the particles of the standard model have decoupled. When the ${\cal R}^2$ terms dominate, the theory is equivalent to a scalar-tensor theory with the universal…

Cosmology and Nongalactic Astrophysics · Physics 2019-03-20 Philippe Brax , Patrick Valageas , Pierre Vanhove

Probability of finding negative energy states in a hydrogen atom is decreased when the nucleus is extended. Reduced electron Compton wavelength is the characteristic size of the region around the nucleus where negative energy contributions…

High Energy Physics - Phenomenology · Physics 2022-07-18 Andrzej Czarnecki

We compute the spin-independent structure functions of the forward virtual-photon Compton tensor of the proton at one loop using heavy baryon chiral perturbation theory and dispersion relations. We study the relation between both…

High Energy Physics - Phenomenology · Physics 2008-11-26 David Nevado , Antonio Pineda

Lattice sum rules are checked using lattice perturbation theory. The action sum rule gives a relation between the quark-antiquark potential, its logarithmic derivative with respect to distance and the expectation value of the action; the…

High Energy Physics - Lattice · Physics 2007-05-23 B. Feuerbacher

We examine elastic Compton scattering from the deuteron for photon energies ranging from zero to 100 MeV, using state-of-the-art deuteron wave functions and NN-potentials. Nucleon-nucleon rescattering between emission and absorption of the…

Nuclear Theory · Physics 2014-11-18 Robert P. Hildebrandt , Harald W. Griesshammer , Thomas R. Hemmert

The weak charge of the proton $Q_{\textrm{w}}$ is one of the most fundamental quantities in physics. It can be determined by measuring the parity asymmetry $A_{\textrm{PV}}$ in elastic $ep$ scattering, where the $\gamma Z$-exchange…

High Energy Physics - Phenomenology · Physics 2026-04-24 Qian-Qian Guo , Hai-Qing Zhou

We assess the two-photon exchange contribution to the Lamb shift in muonic hydrogen with forward dispersion relations. The subtraction constant $\bar T(0,Q^2)$ that is necessary for a dispersive evaluation of the forward doubly-virtual…

Nuclear Theory · Physics 2015-06-15 Mikhail Gorchtein , Felipe J. Llanes-Estrada , Adam P. Szczepaniak

The Drell-Hearn-Gerasimov sum rule for the deuteron is studied in nuclear effective field theory. The low-energy theorem for the spin-dependent Compton amplitude $f_1(\omega)$ is derived to the next-to-leading order in low-energy expansion.…

Nuclear Theory · Physics 2010-04-05 Jiunn-Wei Chen , Xiangdong Ji , Yingchuan Li

Relativistic exchange current corrections to the impulse approximation in low and intermediate energy neutrino--nucleus scattering are presented assuming non--vanishing strange quark form factors for constituent nucleons. Two--body exchange…

Nuclear Theory · Physics 2008-11-26 Y. Umino , J. M. Udias

The Balmer formula for the spectrum of atomic hydrogen is shown to be analogous to that in Compton effect and is written in terms of the difference between the absorbed and emitted wavelengths. The g-factors come into play when the atom is…

General Physics · Physics 2007-05-23 Raji Heyrovska

We present a new calculation of the first Gegenbauer moment $a_1^K$ of the kaon light-cone distribution amplitude. This moment is determined by the difference between the average momenta of strange and nonstrange valence quarks in the kaon.…

High Energy Physics - Phenomenology · Physics 2009-11-10 A. Khodjamirian , Th. Mannel , M. Melcher

In recent years, real and virtual Compton scattering off the nucleon have attracted considerable interest from both the experimental and theoretical sides. Real Compton scattering gives access to the so-called electromagnetic…

Nuclear Theory · Physics 2009-11-10 Stefan Scherer

In multiquark correlator analyses with 1/Nc classifications, it is possible to separate the scattering background and to justify the factorization of condensates, which allows us to achieve an isolated peak saturation in the QCD sum rules…

High Energy Physics - Phenomenology · Physics 2008-09-12 Toru Kojo , Daisuke Jido

Extensive data of antiproton scattering cross sections with protons and nuclei have advanced our understanding of hadronic interactions with antinucleons. However, low-energy antineutron scattering data are scarce, thereby limiting our…

Nuclear Experiment · Physics 2025-03-18 Alessandra Filippi , Hiroyuki Fujioka , Takashi Higuchi , Luca Venturelli

The lowest order hadronic contribution to the $g-2$ factor of the muon is analyzed in the framework of the operator product expansion at short distances, and a QCD finite energy sum rule designed to quench the role of the $e^+ e^-$ data.…

High Energy Physics - Phenomenology · Physics 2013-08-09 S. Bodenstein , C. A. Dominguez , K. Schilcher , H. Spiesberger

Parity of effects induced by one loop corrections of Standard model of Compton scattering are considered. We note the main effects arise from W contributions. Keeping in the mind scheme independent gauge invariance amplitude we calculated…

High Energy Physics - Phenomenology · Physics 2016-09-06 E. Bartos , V. Bytev , E. Kuraev

We review the current state of knowledge of the nucleon polarizabilities and of their role in nucleon Compton scattering and in hydrogen spectrum. We discuss the basic concepts, the recent lattice QCD calculations and advances in chiral…

Nuclear Theory · Physics 2016-03-23 Franziska Hagelstein , Rory Miskimen , Vladimir Pascalutsa

Virtual Compton Scattering on the nucleon: $\gamma^* N \to \gamma N$ is a new and rapidly developing field at low and high energies. This lecture is about the low energy part, i.e. for energies in the $(\gamma p)$ center-of-mass mainly up…

High Energy Physics - Phenomenology · Physics 2008-12-18 H. Fonvieille

We develop an approach to describing coherent Compton scattering of photons in the keV energy range from hydrogen and helium atoms based on a relativistic version of the AA-approximation within the standard perturbative S-matrix formalism.…

Atomic Physics · Physics 2019-01-30 Irina A. Gnilozub , Alexander Galstyan , Yuri V. Popov , Igor P. Volobuev

We derive frequency moment sum rules for the retarded electronic Green's function and self-energy of the Holstein model for both equilibrium and nonequilibrium cases. We also derive sum rules for the phonon propagator in equilibrium and…

Strongly Correlated Electrons · Physics 2014-03-25 J. K. Freericks , Khadijeh Najafi , A. F. Kemper , T. P. Devereaux