Consistent treatment of spin-1 mesons in the light-front formalism

Abstract

We analyze the matrix element of the electroweak current between $q \qb$ vector meson states in the framework of a covariant extension of the light-front formalism. The light-front matrix element of a one-body current is naturally associated with zero modes, which affect some of the form factors that are necessary to represent the Lorentz structure of the light-front integral. The angular condition contains some information on zero modes, i.e., only if the effect of zero modes is accounted for correctly, is it satisfied. With plausible assumptions we derive from the angular condition several consistency conditions which can be used quite generally to determine the zero mode contribution of form factors. The correctness of this method is tested by the phenomenological success of the derived form factors. We compare the predictions of our formalism with those of the standard light-front approach and with available data. As examples we discuss the magnetic moment of the $\rho$, the coupling constant $g_{D^{\ast }D\pi }$, and the coupling constants of the pseudoscalar density, $g_{\pi }$ and $g_K$, which provide a phenomenological link between constituent and current quark masses.

36 pages, figure 1 is included

References in corpus (1)

• Possible explanation of the discrepancy of the light-cone QCD sum rule calculation of g(D*Dpi) coupling with experiment

Cited by in corpus (51)

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• Consistency of the light-front quark model with chiral symmetry in the pseudoscalar meson analysis
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• Decay constants of pseudoscalar and vector mesons with improved holographic wavefunction
• The radius of the rho meson determined from its decay constant
• Revisiting the form factors of $P\to V$ transition within the light-front quark models
• $\rho$ meson unpolarized generalized parton distributions with a light-front constituent quark model
• B to V, A, T Tensor Form Factors in the Covariant Light-Front Approach: Implications on Radiative B Decays
• Space-like and time-like pion-rho transition form factors in the light-cone formalism
• Form Factors and Generalized Parton Distributions of Heavy Quarkonia in Basis Light Front Quantization
• Rho meson form factors in a confining Nambu--Jona-Lasinio model
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• The Light-Front Zero-Mode Contribution to the Good Current in Weak Transition
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• Magnetic moment of the rho meson in instant-form relativistic quantum mechanics
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• Tensor form factors of $P\to P,S,V$ and $A$ transitions within the standard and the covariant light-front approaches
• Light-front dynamic analysis of transition form factors in the process of $P\to V\ell {\nu }_{\ell }$
• Hadronic structure on the light-front VIII. Light scalar and vector mesons
• A model independent determination of $|V_{ub}|$ using the global $q^2$ dependence of the dispersive bounds on the $B\to \pi l\nu$ form factors
• Study of ${\bar{B}}_{u,d,s}^{\ast }\to D_{u,d,s}^{\ast }V(V=D_{d,s}^{\ast -},K^{\ast -},{\rho }^{-})$ weak decays
• Electromagnetic multipole moments of elementary spin-1/2, 1, and 3/2 particles
• Self-consistent $M1$ radiative transitions of excited $B_c$ and heavy quarkonia with different polarizations in the light-front quark model
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• Rho-meson properties in medium
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• $B_c$ to $A$ Transition Form Factors and Semileptonic Decays in Self-consistent Covariant Light-front Approach
• Medium effects on the electromagnetic form factors of the $\rho$ meson
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• Quadrupole moments of spin-1 systems: the rho meson, the S-wave deuteron and some general constraints
• Radiative transitions among the vector and scalar heavy quarkonium states with covariant light-front quark model
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