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The axial anomaly in the divergence of the singlet axial current in QCD $+$ QED leads to low-energy theorems for the matrix element of this operator equation over vacuum and two--photon states and for the matrix element over vacuum and…

High Energy Physics - Phenomenology · Physics 2007-05-23 M. M. Musakhanov , F. C. Khanna

We study the properties of the $\Delta$ isobar in the symmetric and asymmetric nuclear matter using the QCD sum rules approach based on the energy dispersion relation. Allowing for different continuum thresholds for the polarization tensors…

Nuclear Theory · Physics 2018-09-05 Jesuel Marques L. , Su Houng Lee , Aaron Park , R. D. Matheus , Kie Sang Jeong

We present research on radiative decays of vector ($J^{PC}=1^{--}$) to pseudoscalar ($J^{PC}=0^{-+}$) particles ($u$, $d$, $s$, $c$, $b$, $t$ quark system) using broken symmetry techniques in the infinite momentum frame and equal time…

High Energy Physics - Phenomenology · Physics 2019-09-13 Milton Dean Slaughter

We consider the Quasilocal Quark Model of NJL type including vector and axial-vector four-fermion interaction with derivatives. In the presence of a strong attraction in the scalar channel the chiral symmetry is spontaneously broken and as…

High Energy Physics - Phenomenology · Physics 2007-05-23 A. A. Andrianov , V. A. Andrianov , S. S. Afonin

We report nucleon mass, isovector vector and axial-vector charges, and tensor and scalar couplings, calculated using two recent 2+1-flavor dynamical domain-wall fermions lattice-QCD ensembles generated jointly by the RIKEN-BNL-Columbia and…

High Energy Physics - Lattice · Physics 2020-02-19 Michael Abramczyk , Thomas Blum , Taku Izubuchi , Chulwoo Jung , Meifeng Lin , Andrew Lytle , Shigemi Ohta , Eigo Shintani

The sum rules serve a powerful tool to study the nucleon structure by providing a bridge between the statical properties of the nucleon (such as electrical charge, and magnetic moment) and the dynamical properties (e.g. the transition…

High Energy Physics - Phenomenology · Physics 2010-03-02 M. Gorchtein , D. Drechsel , M. M. Giannini , E. Santopinto

The flavor $ud$ and $us$ pseudoscalar correlators are investigated using families of finite energy sum rules (FESR's) known to be very accurately satisfied in the isovector vector channel. It is shown that the combination of constraints…

High Energy Physics - Phenomenology · Physics 2008-11-26 Kim Maltman , Joachim Kambor

QCD sum rules involving mixed inverse moment integration kernels are used in order to determine the running charm-quark mass in the $\bar{MS}$ scheme. Both the high and the low energy expansion of the vector current correlator are involved…

High Energy Physics - Phenomenology · Physics 2011-04-22 S. Bodenstein , J. Bordes , C. A. Dominguez , J. Penarrocha , K. Schilcher

The QCD up- and down-quark masses are determined from an optimized QCD Finite Energy Sum Rule (FESR) involving the correlator of axial-vector current divergences. In the QCD sector this correlator is known to five loop order in perturbative…

High Energy Physics - Phenomenology · Physics 2019-02-20 C. A. Dominguez , A. Mes , K. Schilcher

A model-independent determination of the CKM matrix element V_{us} from five measured strangeness-changing hyperon semileptonic decays is performed. Flavor SU(3) symmetry breaking effects in the leading vector and axial-vector form factors…

High Energy Physics - Phenomenology · Physics 2009-11-10 Ruben Flores-Mendieta

We explore the effective field theory of a vector field $X^\mu$ that has a St\"uckelberg mass. The absence of a gauge symmetry for $X^\mu$ implies Lorentz-invariant operators are constructed directly from $X^\mu$. Beyond the kinetic and…

High Energy Physics - Phenomenology · Physics 2026-03-17 Graham D. Kribs , Gabriel Lee , Adam Martin

We describe a procedure for extracting momentum derivatives of nucleon matrix elements on the lattice directly at $Q^2=0$. This is based on the Rome method for computing momentum derivatives of quark propagators. We apply this procedure to…

High Energy Physics - Lattice · Physics 2018-02-14 Nesreen Hasan , Jeremy Green , Stefan Meinel , Michael Engelhardt , Stefan Krieg , John Negele , Andrew Pochinsky , Sergey Syritsyn

Axial-vector hadronic molecules $\mathcal{M}_{\mathrm{AV}}=\Upsilon B_{c}^{-} $ and $\widetilde{\mathcal{M}}_{\mathrm{AV}}=\eta_{b}B_{c}^{\ast -} $ with the quark content $bb \overline{b}\overline{c}$ are studied using QCD sum rule method.…

High Energy Physics - Phenomenology · Physics 2026-03-05 S. S. Agaev , K. Azizi , H. Sundu

In this article, we study the light-flavor scalar and axial-vector diquark states in the vacuum and in the nuclear matter using the QCD sum rules in an systematic way, and make reasonable predictions for their masses in the vacuum and in…

High Energy Physics - Phenomenology · Physics 2017-01-25 Zhi-Gang Wang

Like the axial vector charges, defined from the forward nucleon matrix element of the axial vector current on the light cone, the nucleon tensor charge, defined from the corresponding matrix element of the tensor current, is essential for…

High Energy Physics - Phenomenology · Physics 2007-05-23 Leonard Gamberg , Gary R. Goldstein

The iso-vector axial-vector form factors of the \Delta-\Delta transition are calculated in the framework of the Light-cone QCD sum rules method. Also, axial charge of \Delta baryon is predicted.

High Energy Physics - Phenomenology · Physics 2015-12-08 U. Ozdem , A. Kucukarslan , A. Ozpineci

A new critical survey of all world data on superallowed beta decays provides demanding tests of, and tight constraints on, the weak interaction. In confirmation of the conserved vector current (CVC) hypothesis, the vector coupling coupling…

Nuclear Theory · Physics 2010-11-23 J. C. Hardy , I. S. Towner

We study the asymmetry between the vector current and axial-vector current correlators in the colour-flavour locking (CFL) phase of QCD at finite density. Using Weinberg's sum rules, we compute the decay constant $f_\pi$ of the Goldstone…

High Energy Physics - Phenomenology · Physics 2009-10-31 Cristina Manuel , Michel H. G. Tytgat

The masses and the leptonic decay constants of vector and axial vector heavy-heavy mesons are calculated using the thermal QCD sum rules approach. While obtaining the QCD sum rules, additional operators in the Wilson expansion and also…

High Energy Physics - Phenomenology · Physics 2016-11-01 Enis Yazici

We formulate a new algorithm for obtaining the effective continuum threshold in vacuum-to-bound-state correlators - the basic objects for the calculation of hadron form factors in the method of light-cone sum rules in QCD. The effective…

High Energy Physics - Phenomenology · Physics 2010-01-07 Wolfgang Lucha , Dmitri Melikhov , Hagop Sazdjian , Silvano Simula