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We extend QCD sum rule analysis to moderate energy fixed angle Compton scattering. In this kinematic region there is a strong similarity to the sum rule treatment of electromagnetic form factors, although the four-point amplitude requires a…

High Energy Physics - Phenomenology · Physics 2014-11-17 Claudio Coriano' , Anatoly Radyushkin , George Sterman

In this article, we review the recent experimental studies on the charmoniumlike states, mainly from the e+e- annihilation experiments BESIII, Belle, BaBar, and CLEO-c, and the hadron collider experiment LHCb. We discuss the results on the…

High Energy Physics - Experiment · Physics 2014-09-02 Chang-Zheng Yuan

Two-photon annihilation rates of $2^+$ tensor charmonium and bottomonium up to third radial excited states are estimated in the relativistic Salpeter method. Full Salpeter equation for $2^+$ tensor state is solved with a well defined…

High Energy Physics - Phenomenology · Physics 2009-12-10 Guo-Li Wang

The charmonium system is studied in a Salpeter model with a vector plus scalar potential. We use a kinematical formalism based on the one developed by Suttorp, and present general eigenvalue equations and expressions for decay observables…

High Energy Physics - Phenomenology · Physics 2009-10-30 Johan Linde , Hakan Snellman

We study the $\rho\pi$ and $b_1\pi$ decay modes of the $1^{-+}$ light hybrid state within the framework of light-cone QCD sum rules. We use both the tensor current $\bar\psi\sigma_{\mu\nu}\psi$ and the derivative current…

High Energy Physics - Phenomenology · Physics 2016-10-05 Zhuo-Ran Huang , Hong Ying Jin , T. G. Steele , Zhu Feng Zhang

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

This letter describes the observation of the light-by-light scattering process, $\gamma\gamma\rightarrow\gamma\gamma$, in Pb+Pb collisions at $\sqrt{s_\mathrm{NN}}$ = 5.02 TeV. The analysis is conducted using a data sample corresponding to…

High Energy Physics - Experiment · Physics 2019-08-07 ATLAS Collaboration

We calculate the relative permittivity of a cold atomic gas under weak probe illumination, up to second order in the density. Within the framework of a diagrammatic representation method, we identify all the second order diagrams that enter…

Atomic Physics · Physics 2019-04-10 Chang Chi Kwong , David Wilkowski , Dominique Delande , Romain Pierrat

Recently, a longitudinal sum rule for the electric polarizability of nuclei was used to revise a relativistic correction in a dipole sum rule for the polarizability (nucl-th/9802011). This revision is shown to be wrong because of neglecting…

Nuclear Theory · Physics 2009-10-31 A. I. L'vov

A formula for the collider luminosity is derived for a head-on collision of two beams with different parameters. Three particular cases are presented: the collision of two identical axially symmetric bunches, the collision of a bunch with a…

Accelerator Physics · Physics 2018-12-18 I. N. Meshkov

Charmonium sum rules are analyzed with the primary goal to obtain the restrictions on the value of dimension 4 gluon condensate. The moments M_n(Q^2) of the polarization operator of vector charm currents are calculated and compared with…

High Energy Physics - Phenomenology · Physics 2011-09-13 B. L. Ioffe , K. N. Zyablyuk

4D CFTs have a scale anomaly characterized by the coefficient $c$, which appears as the coefficient of logarithmic terms in momentum space correlation functions of the energy-momentum tensor. By studying the CFT contribution to 4-point…

High Energy Physics - Theory · Physics 2018-09-26 Marc Gillioz , Xiaochuan Lu , Markus A. Luty

In this paper, we investigate the spectra of the prospective hidden-bottom and -charm hexaquark states with quantum numbers $J^{PC }= 0^{++}$, $0^{-+}$, $1^{++}$ and $1^{--}$ in the framework of QCD sum rules. By constructing appropriate…

High Energy Physics - Phenomenology · Physics 2020-02-18 Bing-Dong Wan , Liang Tang , Cong-Feng Qiao

We study the possible charmonium-like states with $J^{PC}=0^{--}, 0^{-+}$ using the tetraquark interpolating currents with the QCD sum rules approach. The extracted masses are around 4.5 GeV for the $0^{--}$ charmonium-like states and 4.6…

High Energy Physics - Phenomenology · Physics 2010-06-08 Wei Chen , Shi-Lin Zhu

We investigate the transition to perturbative QCD in Compton processes, by concentrating on the specific reactions $\pi \gamma \to \pi \gamma$ and pion photoproduction at moderate energy scales. New sum rules for each of the helicities…

High Energy Physics - Phenomenology · Physics 2011-08-17 Claudio Coriano' , Hsiang-nan Li

For the shifted convolution sum $$ D_h(X)=\sum_{m=1}^\infty\lambda_1(1,m)\lambda_2(m+h)V(\frac{m}{X}) $$ where $\lambda_1(1,m)$ are the Fourier coefficients of a $SL(3,\mathbb Z)$ Maass form $\pi_1$, and $\lambda_2(m)$ are those of a…

Number Theory · Mathematics 2019-12-19 Ritabrata Munshi

Motivated by the experimental findings of some new exotic states decaying into channels like $J/\psi \phi$, we investigate the formation of resonances/bound states in the $D^*_s\bar D^*_s$ system using QCD sum rules. To do this we start…

High Energy Physics - Phenomenology · Physics 2017-07-11 A. Martínez Torres , K. P. Khemchandani , J. M. Dias , F. S. Navarra , M. Nielsen

Within the framework of the heavy quark effective theory, QCD sum rules are used to calculate the masses of p-wave (c-bar s) states. The results for 0^+ and 1^+ states with the angular momentum of the light component j_l=1/2 are consistent…

High Energy Physics - Phenomenology · Physics 2007-05-23 Yuan-Ben Dai , Chao-Shang Huang , Chun Liu , Shi-Lin Zhu

QCD sum-rules are employed to determine whether the X(3872) can be described as a mixed state that couples to $J^{PC}=1^{++}$ charmonium hybrid and $\bar D D^*$ molecular currents. After calculating the mixed correlator of hybrid and…

High Energy Physics - Phenomenology · Physics 2013-09-24 Wei Chen , Hong-ying Jin , R. T. Kleiv , T. G. Steele , Meng Wang , Qing Xu

The charmonium and bottomonium spectra computed from a potential defined from a single gauge configuration, obtained from solving the classical field equations, is discussed. The theoretical spectra shows good agreement with the measured…

High Energy Physics - Phenomenology · Physics 2008-11-26 R. A. Coimbra , O. Oliveira