Abstract
We have investigated the transverse charge density for longitudinal and transversely polarized $\rho$ meson in light-front quark model (LFQM). Charge densities are obtained from the elastic form factors of the $\rho$ meson calculated in LFQM including the zero-mode contributions. We have computed the different helicity matrix elements of the $\rho$ meson. In addition to this, we have also presented the results for the generalized parton distributions (GPDs) and impact-parameter dependent parton distribution functions (ipdpdfs) of the $\rho$ meson.
Highlights
Electromagnetic form factors (FFs) are the key source to understand the internal structure of the hadrons
Iþþ− : They satisfy the angular condition which is given by pffiffiffiffiffi ΔðQ2Þ 1⁄4 ð1 þ 2κÞIþþþ þ Iþþ− − 8κ Iþþ0 − Iþ00: ð6Þ. This condition must be satisfied by the matrix elements so that physical form factors must be independent from the Grach and Kondratyuk (GK) or Brodsky and Hiller (BH) prescriptions
We found that for low values of Q2, the magnitude of the peak is maximum at large values of x, but FIG. 7. 3D representation of generalized parton distributions (GPDs) for the ρ meson evaluated in light-front quark model (LFQM): (a) H1ðx; Q2Þ, (b) H2ðx; Q2Þ, and (c) H3ðx; Q2Þ. 014039-8
Summary
Electromagnetic form factors (FFs) are the key source to understand the internal structure of the hadrons. By taking the Fourier transform of the form factors of hadrons one can get the spatial distributions like charge and magnetization densities [1,2]. We have studied the transverse charge densities for unpolarized and polarized ρ mesons in light-front quark model (LFQM) [71,72,73,74,75,76,77,78].
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