Nuclear rho transparencies in a relativistic Glauber model

Abstract

[Background] The recent Jefferson Lab data for the nuclear transparency in $\rho^ {0}$ electroproduction have the potential to settle the scale for the onset of color transparency (CT) in vector meson production. [Purpose] To compare the data to calculations in a relativistic and quantum-mechanical Glauber model and to investigate whether they are in accordance with results including color transparency given that the computation of $\rho$-nucleus attenuations is subject to some uncertainties. [Method] We compute the nuclear transparencies in a multiple-scattering Glauber model and account for effects stemming from color transparency, from $\rho$-meson decay, and from short-range correlations (SRC) in the final-state interactions (FSI). [Results] The robustness of the model is tested by comparing the mass dependence and the hard-scale dependence of the $A(e,e'p)$ nuclear transparencies with the data. The hard-scale dependence of the $(e,e' \rho ^ {0})$ nuclear transparencies for $^ {12}$C and $^ {56}$Fe are only moderately affected by SRC and by $\rho^ {0}$-decay. [Conclusions] The RMSGA calculations confirm the onset of CT at four-momentum transfers of a few (GeV/c)$^2$ in $\rho$ meson electroproduction data. A more precise determination of the scale for the onset of CT is hampered by the lack of precise input in the FSI and $\rho$-meson decay calculations.