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arXiv · 1403.7305

Broadening of $ρ(\to e^+e^-)$ meson produced coherently in the photonuclear reaction

Swapan Das
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Abstract

The $e^+e^-$ invariant mass distribution spectra are calculated to estimate the hadron parameters of the $ρ$ meson produced coherently in the photonuclear reaction. The elementary reaction occurring in the nucleus is considered to proceed as $ γN \to ρ^0 N ; ~ ρ^0 \to e^+e^- $. We describe the elementary $ρ$ meson photoproduction by the experimentally determined reaction amplitude $ f_{ γN \to ρ^0 N } $. The $ρ$ meson propagator is presented by the eikonal form, and the $ρ$ meson nucleus optical potential $V_{Oρ}$ appearing in it is estimated using the "$t\varrho$" approximation. The $ρ$ meson nucleon scattering amplitude $ f_{ ρN } $ extracted from the measurements is used to generate this potential. The calculated $e^+e^-$ invariant mass distribution spectra are compared with those measured at Jefferson Laboratory. The calculated results for the transparency ratio are also presented.

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Swapan Das. 2014-03-28. Broadening of $ρ(\to e^+e^-)$ meson produced coherently in the photonuclear reaction. https://doi.org/10.1140/epja%2Fi2013-13123-7

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