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We evaluate the pion-nucleon and the pion-Delta sigma terms by employing the method of quantum chromodynamics (QCD) sum rules. The obtained value of the pion-nucleon sigma term is compatible with the larger values already anticipated by the…

High Energy Physics - Phenomenology · Physics 2008-11-26 G. Erkol , M. Oka

Order estimates for the Kolmogorov widths of an intersection of two finite-dimensional balls in a mixed norm under some conditions on the parameters are obtained.

Functional Analysis · Mathematics 2023-03-24 A. A. Vasil'eva

Many analyses of two-body non-leptonic decays of $D$-mesons rely on flavor SU(3) symmetry relations and fits of experimental data of decays rates to extract the universal transition amplitudes. Such fits assume that the final state mesons…

High Energy Physics - Phenomenology · Physics 2025-01-03 Girish Kumar , Sudheer Muhammad , Alexey A. Petrov

We construct QCD sum rules for nonperturbative studies without assuming the quark-hadron duality for the spectral density at low energy on the hadron side. Instead, both resonance and continuum contributions to the spectral density are…

High Energy Physics - Phenomenology · Physics 2021-01-04 Hsiang-nan Li , Hiroyuki Umeeda

Thermal Finite Energy QCD sum rules for the vector current correlator are used to study quark-gluon deconfinement. Assuming $\rho$-meson saturation of the correlator in the hadronic sector, and the Operator Product Expansion in QCD, we…

High Energy Physics - Phenomenology · Physics 2013-05-30 Alejandro Ayala , C. A. Dominguez , M. Loewe , Y. Zhang

We derive QCD sum rules for heavy baryons at leading order in $1/m_Q$ and at next-to-leading order in $\alpha_s$. The calculation involves the evaluation of four different perturbative three-loop diagrams which determine the…

High Energy Physics - Phenomenology · Physics 2016-08-24 S. Groote , J. G. Körner , O. I. Yakovlev

We extend a recent sum rule calculation for inelastic quarkonium-hadron interactions to realistic parton distribution functions; we also include finite target-mass corrections. Both modifications are shown to have no significant effect on…

High Energy Physics - Phenomenology · Physics 2009-07-09 D. Kharzeev , H. Satz , A. Syamtomov , G. Zinovjev

A sum rule relating the widths of the decays of mesons belonging to heavy quark multiplets, having the same parity and light quark spin j, into the low lying $0^-$ and $1^-$ multiplet is obtained. As this sum rule follows from properties of…

High Energy Physics - Phenomenology · Physics 2007-05-23 Myron Bander

In this article, we calculate the in-medium mass modifications of the scalar mesons $D_0$ and $B_0$ using the QCD sum rules. In calculations, we observe that the $D_0N$ and $B_0N$ scattering lengths are about $1.1\,\rm{fm}$ and…

High Energy Physics - Phenomenology · Physics 2011-10-20 Zhi-Gang Wang , Tao Huang

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

Critical examination is made on the relation between the mass shift of vector mesons in nuclear medium and the vector-meson $-$ nucleon scattering length. We give detailed comparison between the QCD sum rule approach by two of the present…

Nuclear Theory · Physics 2008-11-26 Tetsuo Hatsuda , Su Houng Lee , Hiroyuki Shiomi

In this talk I consider QCD sum rules for the ground state heavy baryons to leading order in $1/m_Q$ and at next-to-leading order in $\alpha_S$ within the context of Heavy Quark Symmetry. The analysis is done at a fixed scale $\mu=1 GeV$.…

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

We study the spectra of the hybrid mesons containing one heavy quark ($q\bar{Q}g$) within the framework of QCD sum rules in the heavy quark limit. The derived sum rules are stable with the variation of the Borel parameter within their…

High Energy Physics - Phenomenology · Physics 2015-01-14 Peng-Zhi Huang , Shi-Lin Zhu

The DDrho form factor is evaluated in a QCD sum rule calculation for both D and rho off-shell mesons. We study the double Borel sum rule for the three point function of two pseudoscalar and one vector meson currents. We find that the…

High Energy Physics - Phenomenology · Physics 2009-11-07 M. E. Bracco , M. Chiapparini , A. Lozea , F. S. Navarra , M. Nielsen

The in-medium behavior of the nucleon spectral density including self-energies is revisited within the framework of QCD sum rules. Special emphasis is given to the density dependence of four-quark condensates. A complete catalog of…

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

We discuss the QCD sum rule calculation of the heavy-quark effective theory parameters, $\lambda_E$ and $\lambda_H$, which correspond to matrix elements representing quark-gluon three-body components in the $B$-meson wavefunction. We derive…

High Energy Physics - Phenomenology · Physics 2013-12-16 Tetsuo Nishikawa , Kazuhiro Tanaka

Finite energy QCD sum rules involving both inverse and positive moment integration kernels are employed to determine the bottom quark mass. The result obtained in the $\bar{\text {MS}}$ scheme at a reference scale of $10\, {GeV}$ is…

High Energy Physics - Phenomenology · Physics 2015-06-03 S. Bodenstein , J. Bordes , C. A. Dominguez , J. Penarrocha , K. Schilcher

The brief discussion of the studies of the radiative QCD corrections to the decay widths and branching ratios of the Standard Model Higgs boson with the mass 2 m_b < M_H < 2 M_W is given. The numerical results are obtained with the help of…

High Energy Physics - Phenomenology · Physics 2007-05-23 Andrei L. Kataev , Victor T. Kim

We present a new QCD sum rule with high sensitivity to the continuum regions of charm and bottom quark pair production. Combining this sum rule with existing ones yields very stable results for the msbar quark masses, m_c(m_c)$ and m_b…

High Energy Physics - Phenomenology · Physics 2007-05-23 Jens Erler , Mingxing Luo

The calculations of masses and decay constants of the radial excitations of light pseudoscalar and scalar mesons within QCD sum rules method are briefly reviewed. The predictions are based on the $1/N_c$-supported model spectra, which…

High Energy Physics - Phenomenology · Physics 2008-11-26 A. L. Kataev
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