Correlation matrix of all the parameters including nuisance parameters used in the profile likelihood unfolding fit on $A_{C}$.

Fit of elastic ($m_Y=m_p$) and proton-dissociative ($1<m_Y<10$ GeV) $\pi^{+}\pi^{-}$ photoproduction off protons with a Soeding-inspired analytic function --- statistical correlations only. Only one half of the (symmetric) matrix is stored.

Elastic ($m_Y=m_p$) and proton-dissociative ($1<m_Y<10$ GeV) $\pi^{+}\pi^{-}$ photoproduction off protons, differential in the dipion mass and in bins of $W$. The tabulated cross sections are $\gamma p$ cross sections but can be converted to $ep$ cross sections using the effective photon flux $\Phi_{\gamma/e}$.

Elastic ($m_Y=m_p$) and proton-dissociative ($1<m_Y<10$ GeV) $\pi^{+}\pi^{-}$ photoproduction off protons, differential in the dipion mass and in bins of $W$ --- statistical correlations coefficients $\rho_{ij}$ only. Only one half of the (symmetric) matrix is stored. Bins are identified by their global bin number.

Elastic ($m_Y=m_p$) and proton-dissociative ($1<m_Y<10$ GeV) $\rho^0(770)$ photoproduction off protons, in bins of the photon-proton energy $W$. The cross section is defined as the integral of the relativistic Breit Wigner resonance in the dipion mass over the range $2m_\pi<m_{\pi\pi}<1.53$ GeV. The tabulated cross sections are $\gamma p$ cross sections but can be converted to $ep$ cross sections using the effective photon flux $\Phi_{\gamma/e}$.

Elastic ($m_Y=m_p$) and proton-dissociative ($1<m_Y<10$ GeV) $\rho^0(770)$ photoproduction off protons in bins of the photon-proton energy $W$ --- statistical correlations coefficients $\rho_{ij}$ only. Only one half of the (symmetric) matrix is stored. Bins are identified by their global bin number.

Fit of elastic ($m_Y=m_p$) and proton-dissociative ($1<m_Y<10$ GeV) $\rho^0(770)$ photoproduction cross sections off protons as a function of energy. Parameters with subscript "el" and "pd" correspond to elastic and proton-dissociative cross sections, respectively.

Fit of elastic ($m_Y=m_p$) and proton-dissociative ($1<m_Y<10$ GeV) $\rho^0(770)$ photoproduction cross sections off protons as a function of energy --- statistical correlations coefficients $\rho_{ij}$ only. Only one half of the (symmetric) matrix is stored. Bins are identified by their global bin number.

Fit of elastic $\rho^0(770)$ photoproduction cross section off protons as a function of energy (various experiments)

Fit of elastic $\rho^0(770)$ photoproduction cross sections off protons as a function of energy (various experiments) --- statistical correlations coefficients $\rho_{ij}$ only. Only one half of the (symmetric) matrix is stored. Bins are identified by their global bin number.

Elastic ($m_Y=m_p$) and proton-dissociative ($1<m_Y<10$ GeV) $\pi^{+}\pi^{-}$ photoproduction cross section off protons, double-differential in the dipion mass and the momentum transfer $\vert t\vert$. The tabulated cross sections are $\gamma p$ cross sections but can be converted to $ep$ cross sections using the effective photon flux $\Phi_{\gamma/e}$.

Elastic ($m_Y=m_p$) and proton-dissociative ($1<m_Y<10$ GeV) $\pi^{+}\pi^{-}$ photoproduction cross section off protons, double-differential in the dipion mass and the momentum transfer $\vert t\vert$ --- statistical correlations coefficients $\rho_{ij}$ only. Only one half of the (symmetric) matrix is stored. Bins are identified by their global bin number.

Elastic ($m_Y=m_p$) and proton-dissociative ($1<m_Y<10$ GeV) $\rho^0(770)$ photoproduction off protons, single-differential in the momentum transfer $\vert t\vert$. The cross section is defined as the integral of the relativistic Breit Wigner resonance in the dipion mass over the range $2m_\pi<m_{\pi\pi}<1.53$ GeV. The tabulated cross sections are $\gamma p$ cross sections but can be converted to $ep$ cross sections using the effective photon flux $\Phi_{\gamma/e}$.

Elastic ($m_Y=m_p$) and proton-dissociative ($1<m_Y<10$ GeV) $\rho^0(770)$ photoproduction off protons, single differential in the momentum transfer $\vert t\vert$ --- statistical correlations coefficients $\rho_{ij}$ only. Only one half of the (symmetric) matrix is stored. Bins are identified by their global bin number.

Fit of elastic ($m_Y=m_p$) and proton-dissociative ($1<m_Y<10$ GeV) $\rho^0(770)$ photoproduction single-differential cross sections off protons as a function of momentum transfer $t$. Parameters with subscript "el" and "pd" correspond to elastic and proton-dissociative cross sections, respectively.

Fit of elastic ($m_Y=m_p$) and proton-dissociative ($1<m_Y<10$ GeV) $\rho^0(770)$ photoproduction single-differential cross sections off protons as a function of momentum transfer $t$ --- statistical correlations coefficients $\rho_{ij}$ only. Only one half of the (symmetric) matrix is stored. Bins are identified by their global bin number.

Elastic ($m_Y=m_p$) and proton-dissociative ($1<m_Y<10$ GeV) $\pi^{+}\pi^{-}$ photoproduction double-differenial cross section off protons, as a function of the dipion mass and the momentum transfer $\vert t\vert$, in bins of the photon-proton energy $W$ The tabulated cross sections are $\gamma p$ cross sections but can be converted to $ep$ cross sections using the effective photon flux $\Phi_{\gamma/e}$.

Elastic ($m_Y=m_p$) and proton-dissociative ($1<m_Y<10$ GeV) $\pi^{+}\pi^{-}$ photoproduction double-differenial cross section off protons, as a function of the dipion mass and the momentum transfer $\vert t\vert$, in bins of the photon-proton energy $W$ --- statistical correlations coefficients $\rho_{ij}$ only. Only one half of the (symmetric) matrix is stored. Bins are identified by their global bin number.

Elastic ($m_Y=m_p$) and proton-dissociative ($1<m_Y<10$ GeV) $\rho^0(770)$ photoproduction off protons, single-differential in the momentum transfer $\vert t\vert$, in bins of the photon-proton energy $W$. The cross section is defined as the integral of the relativistic Breit Wigner resonance in the dipion mass over the range $2m_\pi<m_{\pi\pi}<1.53$ GeV. The tabulated cross sections are $\gamma p$ cross sections but can be converted to $ep$ cross sections using the effective photon flux $\Phi_{\gamma/e}$.

Elastic ($m_Y=m_p$) and proton-dissociative ($1<m_Y<10$ GeV) $\rho^0(770)$ photoproduction cross section off protons, single differential in the momentum transfer $\vert t\vert$ and in bins of the photon-proton energy $W$ --- statistical correlations coefficients $\rho_{ij}$ only. Only one half of the (symmetric) matrix is stored. Bins are identified by their global bin number.

Regge fit of elastic ($m_Y=m_p$) and proton-dissociative ($1<m_Y<10$ GeV) $\rho^0(770)$ photoproduction single-differential cross sections off protons as a function of momentum transfer $t$ and photon-proton energy $W$. Parameters with subscript "el" and "pd" correspond to elastic and proton-dissociative cross sections, respectively.

Regge fit of elastic ($m_Y=m_p$) and proton-dissociative ($1<m_Y<10$ GeV) $\rho^0(770)$ photoproduction single-differential cross sections off protons as a function of momentum transfer $t$ and photon-proton energy $W$ --- statistical correlations coefficients $\rho_{ij}$ only. Only one half of the (symmetric) matrix is stored. Bins are identified by their global bin number.

Fit of $b$-slopes in elastic ($m_Y=m_p$) $\rho^0(770)$ photoproduction single-differential cross sections off protons as a function of momentum transfer $t$ in bins of photon-proton energy $W$.

Fit of $b$-slopes in elastic ($m_Y=m_p$) $\rho^0(770)$ photoproduction single-differential cross sections off protons as a function of momentum transfer $t$ in bins of photon-proton energy $W$ --- statistical correlations coefficients $\rho_{ij}$ only. Only one half of the (symmetric) matrix is stored. Bins are identified by their global bin number.

Fit of Pomeron trajectories in elastic ($m_Y=m_p$) $\rho^0(770)$ photoproduction single-differential cross sections off protons as a function of momentum transfer $t$ in bins of photon-proton energy $W$.

Fit of Pomeron trajectories in elastic ($m_Y=m_p$) $\rho^0(770)$ photoproduction single-differential cross sections off protons as a function of momentum transfer $t$ in bins of photon-proton energy $W$ --- statistical correlations coefficients $\rho_{ij}$ only. Only one half of the (symmetric) matrix is stored. Bins are identified by their global bin number.

The ratio $|C/A|$ of amplitudes of $\omega$ and $\rho^0$ mesons.

$d\sigma/dy$ for exclusively photoproduced $\rho^0$ mesons in $Xn\,Xn$ events.

$d\sigma/dy$ for exclusively photoproduced $\rho^0$ mesons in the previous STAR analysis, Phys. Rev. C 77 034910 (2008).

$d\sigma/dy$ for exclusively photoproduced $\rho^0$ mesons in $1n\,1n$ events.

The $-t$ distribution for exclusive $\rho^0$ mesons in events with $Xn\,Xn$ mutual event dissociation.

The $-t$ distribution for exclusive $\rho^0$ mesons in events with $1n\,1n$ mutual event dissociation.

$d\sigma/dt$ for coherent $\rho^0$ photoproduction in $Xn\,Xn$ events

$d\sigma/dt$ for coherent $\rho^0$ photoproduction in $1n\,1n$ events

The target distribution in the transverse plane, the result of a two-dimensional Fourier transform (Hankel transform) of the $1n\, 1n$ diffraction pattern shown in Fig. 8. The integration is limied to the region $|t| < 0.06 (\textrm{GeV}/c)^2$. The uncertainty is estimated by changing the maximum $-t$ to 0.05, 0.07, and 0.09 $(\textrm{GeV}/c)^2$

The target distribution in the transverse plane, the result of a two-dimensional Fourier transform (Hankel transform) of the $Xn\, Xn$ diffraction pattern shown in Fig. 8. The integration is limied to the region $|t| < 0.06 (\textrm{GeV}/c)^2$. The uncertainty is estimated by changing the maximum $-t$ to 0.05, 0.07, and 0.09 $(\textrm{GeV}/c)^2$

No description provided.

No description provided.

The effective exponential slope, $b_n$, obtained from the fit of double differential photoproduction cross sections ${\rm d^2}\sigma_{\gamma p}/{\rm d}x_L{\rm d}p_{T,n}^2$ to a single exponential function in bins of $x_L$. The first uncertainty represents the fit error from the statistical and uncorrelated systematic uncertainty and the second one is due to the correlated systematic uncertainty.

Energy dependence of the exclusive photoproduction of a $\rho^0$ meson associated with a leading neutron, $\gamma p \to \rho^0 n \pi^+$. The first uncertainty is statistical and the second is systematic. The global normalisation uncertainty of $4.4\%$ is not included. $\Phi_{\gamma}$ is the integral of the photon flux, Eq. (3) of paper, in a given $W_{\gamma p}$ bin.

Differential photoproduction cross section ${\rm d}\sigma_{\gamma p}/{\rm d}\eta$ for the exclusive process $\gamma p \to \rho^0 n \pi^+$ as a function of the $\rho^0$ pseudorapidity in the kinematic range $0.35 < x_L < 0.95$, $\theta_n < 0.75$ mrad and $20 < W_{\gamma p} < 100$ GeV. The statistical, uncorrelated and correlated systematic uncertainties, $\delta_{stat}$, $\delta_{sys}^{unc}$ and $\delta_{sys}^{cor}$ respectively, are given, which does not include the global normalisation error of $4.4\%$.

Differential photoproduction cross section ${\rm d}\sigma_{\gamma p}/{\rm d}t^{\prime}$ for the exclusive process $\gamma p \to \rho^0 n \pi^+$ as a function of the $\rho^0$ four-momentum transfer squared, $t^{\prime}$, in the kinematic range $0.35 < x_L < 0.95$, $\theta_n < 0.75$ mrad and $20 < W_{\gamma p} < 100$ GeV. The statistical, uncorrelated and correlated systematic uncertainties, $\delta_{stat}$, $\delta_{sys}^{unc}$ and $\delta_{sys}^{cor}$ respectively, are given, which does not include the global normalisation error of $4.4\%$.

Exponential slopes, $b_1$ and $b_2$, and the ratio $\sigma_1/\sigma_2$, obtained from the components of fit, Eq. (14) of paper, to the differential cross section ${\rm d}\sigma_{\gamma p}/{\rm d}t^{\prime}$ in bins of $x_L$. The errors represent the statistical and systematic uncertainties added in quadrature.

Exponential slopes, $b_1$ and $b_2$, and the ratio $\sigma_1/\sigma_2$, obtained from the components of fit, Eq. (14) of paper, to the differential cross section ${\rm d}\sigma_{\gamma p}/{\rm d}t^{\prime}$ in bins of $p_{T,n}^2$. The errors represent the statistical and systematic uncertainties added in quadrature.

Energy dependence of elastic $\rho^0$ photoproduction on the pion, $\gamma \pi^+ \to \rho^0 \pi^+$, extracted in the one-pion-exchange approximation using OPE1 sample. The first uncertainty represents the full experimental error and the second is the model error coming from the pion flux uncertainty (see text). $\Gamma_\pi(x_L)$ represents the value of the pion flux, Eqs. (5-6) of paper, integrated over the $p_{T,n}<0.2$ GeV range, at a given $x_L$.

Cross section of elastic $\rho^0$ photoproduction on the pion, $\gamma \pi^+ \to \rho^0 \pi^+$, extracted in the one-pion-exchange approximation using three different samples: full sample, OPE1 and OPE2. The first uncertainty represents the full experimental error and the second is the model error coming from the pion flux uncertainty (see text). $\Gamma_\pi$ represents the value of the pion flux, Eqs. (5-6) of paper, integrated over the corresponding $(x_L,p_{T,n})$ range.