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A new technique based on H\"older's integral inequality is applied to QCD sum-rules to provide fundamental constraints on the sum-rule parameters. These constraints must be satisfied if the sum-rules are to consistently describe integrated…

High Energy Physics - Phenomenology · Physics 2009-10-28 M. Benmerrouche , G. Orlandini , T. G. Steele

We investigate helicity amplitudes (HAs) of $A \to B C$-type decays for arbitrary spin towards the kinematic endpoint. We show that they are proportional to product of Clebsch-Gordan coefficients (CGC) and the velocity to some positive…

High Energy Physics - Phenomenology · Physics 2022-01-14 Roman Zwicky

We examine multiphoton production in the electroweak sector of the Standard Model in the high energy limit using the equivalence theorem in combination with spinor helicity techniques. We obtain recursion relations for currents consisting…

High Energy Physics - Phenomenology · Physics 2009-10-22 G. Mahlon , T. M. Yan

Berry and Klein (J. Mod. Opt. (1997) 43 2139-2164) showed that the Talbot effects in classical optics are naturally explained by Gauss sums studied in number theory. Their result was based on Helmholtz equation. In this article, we explain…

Mathematical Physics · Physics 2007-05-23 Shigeki Matsutani , Yoshihiro Ônishi

Spin transfer from circularly polarized real photons to recoiling hyperons has been measured for the reactions $\vec\gamma + p \to K^+ + \vec\Lambda$ and $\vec\gamma + p \to K^+ + \vec\Sigma^0$. The data were obtained using the CLAS…

Nuclear Experiment · Physics 2010-04-06 R. Bradford , R. A. Schumacher , CLAS Collaboration

Including the new HERA data, the $\gamma^* p$ total cross section is analysed in the generalized vector dominance/colour-dipole picture (GVD/CDP) that contains scaling in $\eta = (Q^2 + m^2_0) / \Lambda^2 (W^2)$, where $\Lambda^2 (W^2)$ is…

High Energy Physics - Phenomenology · Physics 2009-11-07 D. Schildknecht , B. Surrow , M. Tentyukov

A sum rule has been derived for the static pair correlation function. This rule is the extension of the well-known equation that relates density fluctuation to compressibility. The obtained sum rule is applied to the Bose and Fermi ideal…

Statistical Mechanics · Physics 2007-05-23 A. Yu. Cherny

With the exception of superselection rules, there are no known explicit violations of the Principle of quantum Superposition. However, quantum measurement and the emergence of classicality seem to imply that the Principle of Superposition…

Quantum Physics · Physics 2016-04-19 Ovidiu Cristinel Stoica

A unified approach to total cross-sections, based on the QCD contribution to the rise with energy, is presented for the processes $pp$, $p{\bar p}$, $\gamma p, \gamma \gamma, e^+e^- \to hadrons$. For proton processes, a discussion of the…

High Energy Physics - Phenomenology · Physics 2007-05-23 Rohini M. Godbole , A. Grau , G. Pancheri , Y. Srivastava

Multiple polarization observables must be measured to access the amplitude structure of pseudoscalar meson photoproduction off the proton. The hyperon-producing reactions are especially attractive to study, since the weak decays allow…

Nuclear Experiment · Physics 2008-11-26 Reinhard Schumacher

Oscillator-strength sum rule in light-induced transitions is one general form of quantum-mechanical identities. Although this sum rule is well established in equilibrium photo-physics, an experimental corroboration for the validation of the…

Mesoscale and Nanoscale Physics · Physics 2019-08-19 Jaeseok Kim , Seong Chu Lim , Seung Jin Chae , Inhee Maeng , Younghwan Choi , Soonyoung Cha , Young Hee Lee , Hyunyong Choi

Sum rules provide useful insights into transition strength functions and are often expressed as expectation values of an operator. In this letter I demonstrate that non-energy-weighted transition sum rules have strong secular dependences on…

Nuclear Theory · Physics 2015-09-02 Calvin W. Johnson

This paper presents a quantum generalization of the multinomial distribution for the transition probabilities of $m$ identical photons in a $k$-port linear optical interferometer: two multinomial coefficients (one for the input…

Quantum Physics · Physics 2026-02-11 Alfonso Martinez , Josep Font-Segura

We study the small--angle double bremsstrahlung in $e^-e^\pm$ scattering for a jet kinematics where both photons move along the electron direction. This region gives the main contribution to the cross section. We present analytic…

High Energy Physics - Phenomenology · Physics 2009-10-31 E. Kuraev , A. Schiller , V. Serbo , B. Shaikhatdenov

We applied QCD Light Cone Sum Rules to estimate power corrections to the helicity-conserving amplitude in the process $\gamma^*\gamma\to \pi\pi$. We found that above $Q^2 \sim 4$ GeV$^2$ power corrections are numerically small and the…

High Energy Physics - Phenomenology · Physics 2011-09-13 N. Kivel , L. Mankiewicz

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

Various differential cross sections of high-energy photon splitting in the electric fields of heavy atoms are calculated exactly in the parameter \al. The consideration is based on the quasiclassical approach applicable for small angles…

High Energy Physics - Phenomenology · Physics 2008-11-26 R. N. Lee , A. I. Milstein , V. M. Strakhovenko

In this paper we describe the implementation of the SM process $\gamma\gamma\to\gamma\gamma$ through a fermion and boson loops into the framework of SANC system. The computations of this process takes into account non-zero mass of loop…

High Energy Physics - Phenomenology · Physics 2010-12-06 D. Bardin , L. Kalinovskaya , E. Uglov

Spin-polarizabilities are predicted by calculating the cross-section difference $\sigma_{3/2}-\sigma_{1/2}$ from available data for the resonance couplings $A_{3/2}$ and $A_{1/2}$ and CGLN amplitudes. The forward spin-polarizabilities are…

High Energy Physics - Phenomenology · Physics 2013-06-26 Martin Schumacher , M. I. Levchuk

A Coulomb sum rule is derived for the response of nuclei to $(e,e^\prime)$ scattering with large three-momentum transfers. Unlike the nonrelativistic formulation, the relativistic Coulomb sum is restricted to spacelike four-momenta for the…

Nuclear Theory · Physics 2009-09-25 T. C. Ferrée , D. S. Koltun