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Related papers: Axial anomaly and vector meson dominance model

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We calculate the effects of finite density of isospin asymmetric strange hadronic matter, for different strangeness fractions, on the in-medium properties of vector $\left( D^{\ast}, D_{s}^{\ast}, B^{\ast}, B_{s}^{\ast}\right)$ and…

Nuclear Theory · Physics 2015-06-09 Arvind Kumar , Rahul Chhabra

Many meson processes are related to the U_A(1) axial anomaly, present in the Feynman graphs where fermion loops connect axial vertices with vector vertices. However, the coupling of pseudoscalar mesons to quarks does not have to be…

High Energy Physics - Phenomenology · Physics 2011-07-19 D. Kekez , D. Klabucar , M. D. Scadron

Dispersive sum rules constitute long-standing tools for extracting hadron features from QCD. We estimate the systematic uncertainties induced by assuming quark-hadron duality and improve the accuracy of the resulting predictions by…

High Energy Physics - Phenomenology · Physics 2015-03-19 Wolfgang Lucha , Dmitri Melikhov , Silvano Simula

In this article, we study the vector and axialvector $B_c$ mesons with the QCD sum rules, and make reasonable predictions for the masses and decay constants, then calculate the leptonic decay widths. The present predictions for the masses…

High Energy Physics - Phenomenology · Physics 2013-10-24 Zhi-Gang Wang

Confronted with some surprising claims about experimentally measured or theoretically expected dependencies on the involved momentum transfer of various form factors of pseudoscalar mesons, we reassess the present status of these quantities…

High Energy Physics - Phenomenology · Physics 2012-11-01 Irina Balakireva , Wolfgang Lucha , Dmitri Melikhov

We investigate the isovector axial vector and pseudoscalar form factors of $\Delta$ baryon by employing light-cone QCD sum rules. Numerical calculations show that the form factors can be well fitted by the exponential form. We make a…

High Energy Physics - Phenomenology · Physics 2015-06-22 A. Kucukarslan , U. Ozdem , A. Ozpineci

The low $Q^2$ slopes of the the transition form factors provide a unique method to measure the sizes of the neutral pseudo-scalar mesons, since they do not have electromagnetic form factors. From the slope one obtains the "axial transition…

Nuclear Experiment · Physics 2015-11-23 A. M. Bernstein

We present a systematic study of twist-4 light-cone distribution amplitudes of vector mesons in QCD, which is based on conformal expansion. The structure of meson mass corrections is studied in detail. A complete set of distribution…

High Energy Physics - Phenomenology · Physics 2009-10-31 Patricia Ball , V. M. Braun

A model of the passive vector quantity advected by a Gaussian time-decorrelated self-similar velocity field is studied; the effects of pressure and large-scale anisotropy are discussed. The inertial-range behavior of the pair correlation…

Chaotic Dynamics · Physics 2009-11-07 L. Ts. Adzhemyan , N. V. Antonov , A. V. Runov

The $\gamma^* \pi^0 \rightarrow \gamma$ form factor, including the extension off the pion mass-shell, is obtained from a generalized impulse approximation within a QCD-based model field theory known to provide an excellent description of…

High Energy Physics - Phenomenology · Physics 2009-09-25 M. R. Frank , K. L. Mitchell , C. D. Roberts , P. C. Tandy

The axial anomaly is responsible for the masses and mixing of the mesons $\eta$ and $\eta'$. An open question is if (and to what extent) it affects also other hadrons. We show that anomalous terms can be important to understand the…

High Energy Physics - Phenomenology · Physics 2017-12-14 Francesco Giacosa

Directional data consists of unit vectors in q-dimensions that can be described in polar or Cartesian coordinates. Axial data can be viewed as a pair of directions pointed in opposite directions or as a projection matrix of rank 1.…

Methodology · Statistics 2025-10-22 Rudolf Beran

We bootstrap the leading order hadronic contribution to $a_\mu$ using unitarity, analytic properties, crossing symmetry and finite energy sum rules (FESR) from quantum chromodynamics (QCD), establishing a lower bound. Combining this lower…

High Energy Physics - Theory · Physics 2025-08-05 Ahmadullah Zahed

We calculate the effects of finite density and temperature of isospin asymmetric strange hadronic matter, for different strangeness fractions, on the in-medium properties of vector $\left( D^{\ast}, D_{s}^{\ast}, B^{\ast},…

Nuclear Theory · Physics 2015-09-29 Arvind Kumar , Rahul Chhabra

The gap Delta = 4 pi f_pi ~ 1.2 GeV of spontaneous chiral symmetry breaking is introduced as a scale delineating resonance and continuum regions in the QCD spectral sum rules for vector mesons. Basic current algebra results are easily…

High Energy Physics - Phenomenology · Physics 2009-10-31 E. Marco , W. Weise

Mass formulas for the light-vector mesons written in terms of the gluon condensate i.e., the trace anomaly in quantum chromodynamics (QCD), are derived on the basis of finite energy QCD sum rules. We utilize sum rules with $s^n$ and…

High Energy Physics - Phenomenology · Physics 2015-06-16 Tomoya Hayata

Recent advances in the development of a chiral linear $\sigma$-model with (axial-)vector mesons are presented. The model is based on the basic requirements of global chiral symmetry and dilatation invariance. The role of (axial-)vector…

High Energy Physics - Phenomenology · Physics 2015-06-03 Francesco Giacosa

The QCD sum rules in the large-$N_c$ limit for the light non-strange vector, axial and scalar mesons are considered assuming a string-like linear spectrum for the radially excited states. We propose a improved method for combined analysis…

High Energy Physics - Phenomenology · Physics 2016-12-13 S. S. Afonin , T. D. Solomko

We present the outcomes of a very recent investigation of the decay constants of nonstrange and strange heavy-light beauty vector mesons, with special emphasis on the ratio of any such decay constant to the decay constant of the…

High Energy Physics - Phenomenology · Physics 2016-01-26 Wolfgang Lucha , Dmitri Melikhov , Silvano Simula

After describing the SU(2) linear sigma model (L$\sigma$M), we dynamically generate it using the B.W. Lee null tadpole sum (characterizing the true vacuum) together with the dimensional regularization lemma. Next we generate the…

High Energy Physics - Phenomenology · Physics 2007-05-23 Michael D. Scadron , Miroslav Nagy