Structure of vector mesons in a holographic model with linear confinement

By H. Grigoryan, A. Radyushkin. 2007

134 citations recorded by the source corpus.

Wave functions and form factors of vector mesons are investigated in the holographic dual model of quantum chromodynamics with oscillator-like infrared cutoff. We introduce wave functions conjugate to solutions of the 5D equation of motion and develop a formalism based on these wave functions, which are very similar to those of a quantum-mechanical oscillator. For the lowest bound state ($\ensuremath{\rho}$-meson), we show that, in this model, the basic elastic form factor exhibits the perfect vector meson dominance, i.e., it is given by the $\ensuremath{\rho}$-pole contribution alone. The electric radius of the $\ensuremath{\rho}$-meson is calculated, $⟨{r}_{\ensuremath{\rho}}^{2}{⟩}_{C}=0.655\text{ }\text{ }{\mathrm{fm}}^{2}$, which is larger than in the case of the hard-wall cutoff. The squared radii of higher excited states are found to increase logarithmically rather than linearly with the radial excitation number. We calculate the coupling constant ${f}_{\ensuremath{\rho}}$ and find that the experimental value is closer to that calculated in the hard-wall model.

Subfields: Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/49b1cf15c53d1ee3cf44eebcd480d481e32d9f6e

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Nuclear and High Energy Physics

1. Guy F. de Téramond
2. S. Brodsky
3. Huey-Wen Lin
4. I. Cloet
5. C. Roberts
6. P. Kroll
7. V. Braun
8. C. Fischer

Citations in the corpus

• STUDIES OF NUCLEON RESONANCE STRUCTURE IN EXCLUSIVE MESON ELECTROPRODUCTION (2012, background): “The bulk-to-boundary propagator V (Q, z) has the integral representation [332]”
• Light-front holographic QCD and emerging confinement (2014, unknown): “Ṽ (Q(2), z) can thus be expressed as a sum of poles [261] Ṽ (Q(2), z) = 4λ(2)z(2) ∞”
• Light-Front Dynamics and AdS/QCD Correspondence: The Pion Form Factor in the Space- and Time-Like Regions (2007, methodology): “Recent applications to the form factors of mesons and nucleons [11, 32, 33, 34, 35, 36, 37] have followed from the original work described in [23, 38] A physical hadron in four-dimensional Minkowski space has four-momentum Pμ and invariant mass given by PμP = M.”