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In these lectures, I describe the techniques used within the QCD sum rule approach. The basic concepts of the approach are introduced using a simple model of quantum-mechanical oscillator in 2+1 dimensions. Then I discuss their…

High Energy Physics - Phenomenology · Physics 2007-05-23 A. V. Radyushkin

The QCD sum rule approach to the in-medium behavior of hadrons is discussed for omega meson, nucleon and D meson. Emphasis is devoted to the impact of four-quark condensates and to order parameters of spontaneous symmetry breaking.

High Energy Physics - Phenomenology · Physics 2008-11-26 R. Thomas , T. Hilger , B. Kampfer

We consider diagonal and non-diagonal QCD sum rules for the ground state heavy baryons to leading order in $1/m_Q$ and at next-to-leading order in $\alpha_S$. In the non-diagonal case we evaluate the eight different two-loop diagrams which…

High Energy Physics - Phenomenology · Physics 2016-08-25 S. Groote , J. G. Körner , O. I. Yakovlev

The large-$N_c$ masses of light vector, axial, scalar and pseudoscalar mesons are calculated from QCD spectral sum rules for a particular ansatz interpolating the radial Regge trajectories. The ansatz includes a linear part plus…

High Energy Physics - Phenomenology · Physics 2018-05-08 S. S. Afonin , T. D. Solomko

We apply the method of QCD sum rules in the presence of external electromagnetic fields $F_{\mu\nu}$ to the problem of the electromagnetic decays of various vector mesons, such as $\rho\to\pi\gamma$, $K^\ast\to K\gamma$ and…

Nuclear Theory · Physics 2009-10-31 Shi-lin Zhu , W. -Y. P. Hwang , Ze-sen Yang

We calculate the polarization operator of the nucleon current in the instanton medium. The medium (QCD vacuum) is assumed to be a composition of the instantons of large and small sizes. The former are described in terms of the local scalar…

High Energy Physics - Phenomenology · Physics 2014-07-11 E. G. Drukarev , V. A. Sadovnikova

Although the methods of calculation of power corrections in QCD sum rules are well known, algebraic complexity rapidly grows with the increase of vacuum condensates' dimensions. Currently, state-of-the-art calculations include dimension 7…

High Energy Physics - Phenomenology · Physics 2010-11-01 A. G. Grozin

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'

We use the energy-momentum tensor (EMT) current to compute the EMT form factors of the nucleon in the framework of the light cone QCD sum rule formalism. In the calculations, we employ the most general form of the nucleon's interpolating…

High Energy Physics - Phenomenology · Physics 2020-03-18 K. Azizi , U. Ozdem

The self-energy and the vertex radiative corrections to the effect of parity nonconservation in heavy atoms are calculated analytically in orders Z alpha^2 and Z^2 alpha^3 ln(lambda_C/r_0), where lambda_C and r_0 being the Compton…

High Energy Physics - Phenomenology · Physics 2009-11-07 A. I. Milstein , O. P. Sushkov , I. S. Terekhov

The mass modifications of the light vector mesons ($\omega$, $\rho$ and $\phi$) are investigated in asymmetric nuclear matter in the presence of strong magnetic fields, using a QCD sum rule approach. These are computed from the medium…

Nuclear Theory · Physics 2019-08-07 Amruta Mishra , Ankit Kumar , Pallabi Parui , Sourodeep De

We investigate the possibility to describe nuclear matter in an approach constrained by the prominent features of quantum chromodynamics. We mapped the in-medium nucleon self-energies of a point coupling relativistic mean-field model on…

Nuclear Theory · Physics 2008-11-26 R. Huguet , J. C. Caillon , J. Labarsouque

The parity-violating asymmetry, including leading-order QED corrections to the Coulomb potential, is calculated non-perturbatively by solving the Dirac equation. At GeV collision energies and forward scattering angles, QED effects enhance…

Nuclear Theory · Physics 2025-05-14 Xavier Roca-Maza , D H. Jakubassa-Amundsen

Relativistic theories of nuclear matter are discussed in a new pespective. First the chiral character of the scalar nuclear field is introduced in the framework of the linear sigma model. With the assumption that the nucleon mass originates…

Nuclear Theory · Physics 2011-07-19 M. Ericson , G. Chanfray

The radiative decay $ B_{q}^*\to B_{q}\gamma(q=u,d, or s) $ is reexamined with a modified light-cone QCD sum rule method, in which adequate chiral operators are chosen as the interpolating fields in the correlators used for a sum rule…

High Energy Physics - Phenomenology · Physics 2007-05-23 Zuo-Hong Li , Xiang-Yao Wu , Tao Huang

According to Wick's theorem, the second order self-energy corrections of hadrons in the hot and dense nuclear matter are calculated. Furthermore, the Feynman rules are summarized, and an effective formulation on quantum hadrodynamics at…

Nuclear Theory · Physics 2007-05-23 Bao-Xi Sun , Xiao-Fu Lu , Lei Li , Ping-Zhi Ning , Peng-Nian Shen , En-Guang Zhao

We present results for the nucleon electromagnetic form factors, including the momentum transfer dependence and derived quantities (charge radii and magnetic moment). The analysis is performed using O(a) improved Wilson fermions in Nf=2 QCD…

High Energy Physics - Lattice · Physics 2015-09-30 S. Capitani , M. Della Morte , D. Djukanovic , G. von Hippel , J. Hua , B. Jäger , B. Knippschild , H. B. Meyer , T. D. Rae , H. Wittig

QCD sum rules are used to calculate the contribution of short-distance single-quark transition $s\rightarrow d \gamma$, to the amplitudes of the hyperon radiative decay, $\Omega^-\rightarrow \Xi^-\gamma$. We re-evaluate the Wilson…

High Energy Physics - Phenomenology · Physics 2009-10-28 M. Nielsen , L. A. Barreiro , C. O. Escobar , R. Rosenfeld

The external-field QCD Sum Rules method is used to evaluate the coupling constant of the light isoscalar-scalar meson (``$\sigma$'' or \epsilon) to the nucleon. The contributions that come from the excited nucleon states and the response of…

Nuclear Theory · Physics 2008-11-26 G. Erkol , Th. A. Rijken , R. G. E. Timmermans

We give an overview over recent calculations of baryonic correlator functions with finite mass quarks in view on their applicability for QCD sum rules. The QCD sum rule method is then demonstrated within the Heavy Quark Effective Theory.

High Energy Physics - Phenomenology · Physics 2007-05-23 Stefan Groote