Target asymmetry for $p\pi^0$ as a function of the polar angle for bins of the incident photon energy in the range of $E_\gamma$ = 650-2600 MeV.

Target asymmetry for $p\pi^0$ as a function of the $p\pi0$ invariant mass for bins of the incident photon energy in the range of $E_\gamma$ = 650-2600 MeV.

Target asymmetry for $p\pi^0$ as a function of the $\phi^*$ angle for bins of the incident photon energy in the range of $E_\gamma$ = 650-2600 MeV.

Double polarization observables for $\pi^0\pi^0$ as a function of the polar angle for bins of the incident photon energy in the range of $E_\gamma$ = 650-950 MeV.

Double polarization observables for $\pi^0\pi^0$ as a function of the $\pi^0\pi0$ invariant mass for bins of the incident photon energy in the range of $E_\gamma$ = 650-950 MeV.

Double polarization observables for $\pi^0\pi^0$ as a function of the polar angle for bins of the incident photon energy in the range of $E_\gamma$ = 650-950 MeV.

Double polarization observables for $p\pi^0$ as a function of the $p\pi0$ invariant mass for bins of the incident photon energy in the range of $E_\gamma$ = 650-950 MeV.

Double polarization observables for $\pi^0\pi^0$ as a function of the $\phi^*$ angle for bins of the incident photon energy in the range of $E_\gamma$ = 650-950 MeV.

Double polarization observables for $p\pi^0$ as a function of the $\phi^*$ angle for bins of the incident photon energy in the range of $E_\gamma$ = 650-950 MeV.

Target asymmetries for $\pi^0\pi^0$ as a function of $\cos\vartheta$, invariant mass and $\phi^*$ for bins of the incident photon energy in the range of $E_\gamma$ = 650-800 MeV.

Target asymmetries for $\pi^0\pi^0$ as a function of $\cos\vartheta$, invariant mass and $\phi^*$ for bins of the incident photon energy in the range of $E_\gamma$ = 800-950 MeV.

Target asymmetries for $\pi^0\pi^0$ as a function of $\cos\vartheta$, invariant mass and $\phi^*$ for bins of the incident photon energy in the range of $E_\gamma$ = 950-1100 MeV.

Target asymmetries for $\pi^0\pi^0$ as a function of $\cos\vartheta$, invariant mass and $\phi^*$ for bins of the incident photon energy in the range of $E_\gamma$ = 1100-1250 MeV.

Target asymmetries for $p\pi^0$ as a function of $\cos\vartheta$, invariant mass and $\phi^*$ for bins of the incident photon energy in the range of $E_\gamma$ = 650-800 MeV.

Target asymmetries for $p\pi^0$ as a function of $\cos\vartheta$, invariant mass and $\phi^*$ for bins of the incident photon energy in the range of $E_\gamma$ = 800-950 MeV.

Target asymmetries for $p\pi^0$ as a function of $\cos\vartheta$, invariant mass and $\phi^*$ for bins of the incident photon energy in the range of $E_\gamma$ = 950-1100 MeV.

Target asymmetries for $p\pi^0$ as a function of $\cos\vartheta$, invariant mass and $\phi^*$ for bins of the incident photon energy in the range of $E_\gamma$ = 1100-1250 MeV.

Double polarization observables for $\pi^0\pi^0$ as a function of $\cos\vartheta$, invariant mass and $\phi^*$ for bins of the incident photon energy in the range of $E_\gamma$ = 650-800 MeV.

Double polarization observables for $\pi^0\pi^0$ as a function of $\cos\vartheta$, invariant mass and $\phi^*$ for bins of the incident photon energy in the range of $E_\gamma$ = 800-950 MeV.

Double polarization observables for $p\pi^0$ as a function of $\cos\vartheta$, invariant mass and $\phi^*$ for bins of the incident photon energy in the range of $E_\gamma$ = 650-800 MeV.

Double polarization observables for $p\pi^0$ as a function of $\cos\vartheta$, invariant mass and $\phi^*$ for bins of the incident photon energy in the range of $E_\gamma$ = 800-950 MeV.

Target asymmetry T, recoil asymmetry P, and polarization observable H for $\gamma n \to \eta n$ as a function of the polar center-of-mass angle for bins at the given centroid c.m. energies.

Coefficients Cx and Cz for the reaction GAMMA P --> K+ LAMBDA for incident energy = 1.332 GeV and W = 1.839 GeV.

Coefficients Cx and Cz for the reaction GAMMA P --> K+ LAMBDA for incident energy = 1.433 GeV and W = 1.889 GeV.

Coefficients Cx and Cz for the reaction GAMMA P --> K+ LAMBDA for incident energy = 1.534 GeV and W = 1.939 GeV.

Coefficients Cx and Cz for the reaction GAMMA P --> K+ LAMBDA for incident energy = 1.635 GeV and W = 1.987 GeV.

Coefficients Cx and Cz for the reaction GAMMA P --> K+ LAMBDA for incident energy = 1.737 GeV and W = 2.035 GeV.

Coefficients Cx and Cz for the reaction GAMMA P --> K+ LAMBDA for incident energy = 1.838 GeV and W = 2.081 GeV.

Coefficients Cx and Cz for the reaction GAMMA P --> K+ LAMBDA for incident energy = 1.939 GeV and W = 2.126 GeV.

Coefficients Cx and Cz for the reaction GAMMA P --> K+ LAMBDA for incident energy = 2.039 GeV and W = 2.170 GeV.

Coefficients Cx and Cz for the reaction GAMMA P --> K+ LAMBDA for incident energy = 2.139 GeV and W = 2.212 GeV.

Coefficients Cx and Cz for the reaction GAMMA P --> K+ LAMBDA for incident energy = 2.240 GeV and W = 2.255 GeV.

Coefficients Cx and Cz for the reaction GAMMA P --> K+ LAMBDA for incident energy = 2.341 GeV and W = 2.296 GeV.

Coefficients Cx and Cz for the reaction GAMMA P --> K+ LAMBDA for incident energy = 2.443 GeV and W = 2.338 GeV.

Coefficients Cx and Cz for the reaction GAMMA P --> K+ LAMBDA for incident energy = 2.543 GeV and W = 2.377 GeV.

Coefficients Cx and Cz for the reaction GAMMA P --> K+ LAMBDA for incident energy = 2.642 GeV and W = 2.416 GeV.

Coefficients Cx and Cz for the reaction GAMMA P --> K+ LAMBDA for incident energy = 2.741 GeV and W = 2.454 GeV.

Coefficients Cx and Cz for the reaction GAMMA P --> K+ SIGMA0 for incident energy = 1.232 GeV and W = 1.787 GeV.

Coefficients Cx and Cz for the reaction GAMMA P --> K+ SIGMA0 for incident energy = 1.332 GeV and W = 1.839 GeV.

Coefficients Cx and Cz for the reaction GAMMA P --> K+ SIGMA0 for incident energy = 1.433 GeV and W = 1.889 GeV.

Coefficients Cx and Cz for the reaction GAMMA P --> K+ SIGMA0 for incident energy = 1.534 GeV and W = 1.939 GeV.

Coefficients Cx and Cz for the reaction GAMMA P --> K+ SIGMA0 for incident energy = 1.635 GeV and W = 1.987 GeV.

Coefficients Cx and Cz for the reaction GAMMA P --> K+ SIGMA0 for incident energy = 1.737 GeV and W = 2.035 GeV.

Coefficients Cx and Cz for the reaction GAMMA P --> K+ SIGMA0 for incident energy = 1.838 GeV and W = 2.081 GeV.

Coefficients Cx and Cz for the reaction GAMMA P --> K+ SIGMA0 for incident energy = 1.939 GeV and W = 2.126 GeV.

Coefficients Cx and Cz for the reaction GAMMA P --> K+ SIGMA0 for incident energy = 2.039 GeV and W = 2.170 GeV.

Coefficients Cx and Cz for the reaction GAMMA P --> K+ SIGMA0 for incident energy = 2.139 GeV and W = 2.212 GeV.

Coefficients Cx and Cz for the reaction GAMMA P --> K+ SIGMA0 for incident energy = 2.240 GeV and W = 2.255 GeV.

Coefficients Cx and Cz for the reaction GAMMA P --> K+ SIGMA0 for incident energy = 2.341 GeV and W = 2.296 GeV.

Coefficients Cx and Cz for the reaction GAMMA P --> K+ SIGMA0 for incident energy = 2.443 GeV and W = 2.338 GeV.

Coefficients Cx and Cz for the reaction GAMMA P --> K+ SIGMA0 for incident energy = 2.543 GeV and W = 2.377 GeV.

Coefficients Cx and Cz for the reaction GAMMA P --> K+ SIGMA0 for incident energy = 2.642 GeV and W = 2.416 GeV.

Coefficients Cx and Cz for the reaction GAMMA P --> K+ SIGMA0 for incident energy = 2.741 GeV and W = 2.454 GeV.

Measured beam asymmetry I_S as a function of the angle between the reaction plane and the plane of the two final state particles with the the pi0 as the recoiling particle for the cm energy range 1642 to 1770 MeV.

Measured beam asymmetry I_S as a function of the angle between the reaction plane and the plane of the two final state particles with the the pi0 as the recoiling particle for the cm energy range 1770 to 1898 MeV.

Measured beam asymmetry I_S as a function of the angle between the reaction plane and the plane of the two final state particles with the the pi0 as the recoiling particle for the cm energy range 1898 to 1994 MeV.

Measured beam asymmetry I_S as a function of the angle between the reaction plane and the plane of the two final state particles with the the eta as the recoiling particle for the cm energy range 1642 to 1770 MeV.

Measured beam asymmetry I_S as a function of the angle between the reaction plane and the plane of the two final state particles with the the eta as the recoiling particle for the cm energy range 1770 to 1898 MeV.

Measured beam asymmetry I_S as a function of the angle between the reaction plane and the plane of the two final state particles with the the eta as the recoiling particle for the cm energy range 1898 to 1994 MeV.

Measured beam asymmetry I_C as a function of the angle between the reaction plane and the plane of the two final state particles with the the proton as the recoiling particle for the cm energy range 1642 to 1770 MeV.

Measured beam asymmetry I_C as a function of the angle between the reaction plane and the plane of the two final state particles with the the proton as the recoiling particle for the cm energy range 1770 to 1898 MeV.

Measured beam asymmetry I_C as a function of the angle between the reaction plane and the plane of the two final state particles with the the proton as the recoiling particle for the cm energy range 1898 to 1994 MeV.

Measured beam asymmetry I_C as a function of the angle between the reaction plane and the plane of the two final state particles with the the pi0 as the recoiling particle for the cm energy range 1642 to 1770 MeV.

Measured beam asymmetry I_C as a function of the angle between the reaction plane and the plane of the two final state particles with the the pi0 as the recoiling particle for the cm energy range 1770 to 1898 MeV.

Measured beam asymmetry I_C as a function of the angle between the reaction plane and the plane of the two final state particles with the the pi0 as the recoiling particle for the cm energy range 1898 to 1994 MeV.

Measured beam asymmetry I_C as a function of the angle between the reaction plane and the plane of the two final state particles with the the eta as the recoiling particle for the cm energy range 1642 to 1770 MeV.

Measured beam asymmetry I_C as a function of the angle between the reaction plane and the plane of the two final state particles with the the eta as the recoiling particle for the cm energy range 1770 to 1898 MeV.

Measured beam asymmetry I_C as a function of the angle between the reaction plane and the plane of the two final state particles with the the eta as the recoiling particle for the cm energy range 1898 to 1994 MeV.

Measured beam asymmetry as a function of the invariant mass of the PI0-ETA system for beam energies 0.970 to 1.200 GeV.

Measured beam asymmetry as a function of the invariant mass of the PI0-ETA system for beam energies 1.200 to 1.450 GeV.

Measured beam asymmetry as a function of the invariant mass of the PI0-ETA system for beam energies 1.450 to 1.650 GeV.

Measured beam asymmetry as a function of the invariant mass of the P-PI0 system for beam energies 0.970 to 1.200 GeV.

Measured beam asymmetry as a function of the invariant mass of the P-PI0 system for beam energies 1.200 to 1.450 GeV.

Measured beam asymmetry as a function of the invariant mass of the P-PI0 system for beam energies 1.450 to 1.650 GeV.

Measured beam asymmetry as a function of the invariant mass of the P-ETA system for beam energies 0.970 to 1.200 GeV.

Measured beam asymmetry as a function of the invariant mass of the P-ETA system for beam energies 1.200 to 1.450 GeV.

Measured beam asymmetry as a function of the invariant mass of the P-ETA system for beam energies 1.450 to 1.650 GeV.

FIG. 2: a) left side: The correlation data for the ratio of the histograms of same-event-pairs to mixed-event-pairs for unlike-sign charged pairs, shown in a two-dimensional (2-D) perspective plot $\Delta\phi$ - $\Delta\eta$. The plot was normalized to a mean of 1. b) right side: The similar correlation data for like-sign charge pairs.

FIG. 3: a) left side: Folded correlation data for unlike-sign charge pairs on $\Delta\phi$ and $\Delta\eta$ based on demonstrated symmetries in the data. This increases the statistics in a typical bin by a factor of four. Henceforth we will be dealing with folded data only. b) right side: Similar folded data for like-sign charge pairs.

FIG. 3: a) left side: Folded correlation data for unlike-sign charge pairs on $\Delta\phi$ and $\Delta\eta$ based on demonstrated symmetries in the data. This increases the statistics in a typical bin by a factor of four. Henceforth we will be dealing with folded data only. b) right side: Similar folded data for like-sign charge pairs.

FIG. 4: “(Color online)”a) left side: The 2 dimensional (2-D) approximately gaussian signal shape equation (4) from the fit to the normalized and folded unlike-sign charge pairs signal data. b) right side: The unlike-sign charge pairs signal data corresponding to the adjoining signal function on the left side.

FIG. 4: “(Color online)”a) left side: The 2 dimensional (2-D) approximately gaussian signal shape equation (4) from the fit to the normalized and folded unlike-sign charge pairs signal data. b) right side: The unlike-sign charge pairs signal data corresponding to the adjoining signal function on the left side.

FIG. 5 :“(Color online)”a) left side: A perspective plot of the fit to the 2-D like-sign charge pairs signal shape of equation (5). b) right side: Like-sign charge pairs signal data corresponding to the adjacent signal fit on the left side.

FIG. 5: “(Color online)”a) left side: A perspective plot of the fit to the 2-D like-sign charge pairs signal shape of equation (5). b) right side: Like-sign charge pairs signal data corresponding to the adjacent signal fit on the left side.

FIG. 6: “(Color online)”a) left side: The charge dependent (CD) signal shape is a 2 dimensional (2-D) approximate gaussian which is symmetrical. The average gaussian width is 27.5$^{\circ}$ $\pm$ 3.2$^{\circ}$ (0.48 $\pm$ 0.056 rad) both in $\Delta\phi$ and $\Delta\eta$. Thus we are observing a greater probability for unlike-sign charge pairs of particles than for like-sign charge pairs emitted randomly on 2-D $\eta\phi$ directions. b) right side: The CD signal data corresponding to the adjacent signal fit on the left.

FIG. 6: “(Color online)”a) left side: The charge dependent (CD) signal shape is a 2 dimensional (2-D) approximate gaussian which is symmetrical. The average gaussian width is 27.5$^{\circ}$ $\pm$ 3.2$^{\circ}$ (0.48 $\pm$ 0.056 rad) both in $\Delta\phi$ and $\Delta\eta$. Thus we are observing a greater probability for unlike-sign charge pairs of particles than for like-sign charge pairs emitted randomly on 2-D $\eta\phi$ directions. b) right side: The CD signal data corresponding to the adjacent signal fit on the left.

FIG. 7: “(Color online)”a) left side: The fit to the charge independent (CI) signal shape which is the sum of the fits of like-sign plus unlike-sign charge pairs signals. The 2-D gaussian equivalent RMS signal has a $\Delta\phi$ width of about 32$^{\circ}$ (0.52 rad), and $\Delta\eta$ width of about 66$^{\circ}$ (1.15 rad) which is about double the $\Delta\phi$ width. b) right side: The CI signal data corresponding to the adjacent fit on the left.

FIG. 7: “(Color online)”a) left side: The fit to the charge independent (CI) signal shape which is the sum of the fits of like-sign plus unlike-sign charge pairs signals. The 2-D gaussian equivalent RMS signal has a $\Delta\phi$ width of about 32$^{\circ}$ (0.52 rad), and $\Delta\eta$ width of about 66$^{\circ}$ (1.15 rad) which is about double the $\Delta\phi$ width. b) right side: The CI signal data corresponding to the adjacent fit on the left.

FIG. 8: a) left side: The charge independent (CI) signal data with the lower range of elliptic flow amplitude and the best $\chi^2$ (the same as Figure 7b) plotted as a 2-D perspective plot on $\Delta\phi$ vs. $\Delta\eta$. b) right side: The charge independent (CI) signal data with our maximum elliptic flow amplitude used in our analysis ($\chi^2$ was worse by 1$\sigma$).

FIG. 8: a) left side: The charge independent (CI) signal data with the lower range of elliptic flow amplitude and the best $\chi^2$ (the same as Figure 7b) plotted as a 2-D perspective plot on $\Delta\phi$ vs. $\Delta\eta$. b) right side: The charge independent (CI) signal data with our maximum elliptic flow amplitude used in our analysis ($\chi^2$ was worse by 1$\sigma$).

The $v_{dyn}$ and the three terms of $v_{dyn}$ vs $\sqrt{\langle N_{ch}\rangle \langle N_{\gamma}\rangle }$ for mixed events. $Corr_{\gamma\,-ch}^{real}$ is plotted.

The $v_{dyn}$ and the three terms of $v_{dyn}$ vs $\sqrt{\langle N_{ch}\rangle \langle N_{\gamma}\rangle }$ for mixed events. $Corr_{\gamma\,-ch}^{mixed}$ is plotted.

The $v_{dyn}$ and the three terms of $v_{dyn}$ vs $\sqrt{\langle N_{ch}\rangle \langle N_{\gamma}\rangle }$ for mixed events. $\omega_{\gamma}^{real}$ is plotted.

The $v_{dyn}$ and the three terms of $v_{dyn}$ vs $\sqrt{\langle N_{ch}\rangle \langle N_{\gamma}\rangle }$ for mixed events. $\omega_{\gamma}^{mixed}$ is plotted.

The $v_{dyn}$ and the three terms of $v_{dyn}$ vs $\sqrt{\langle N_{ch}\rangle \langle N_{\gamma}\rangle }$ for mixed events. $v_{dyn}^{real}$ is plotted.

The $v_{dyn}$ and the three terms of $v_{dyn}$ vs $\sqrt{\langle N_{ch}\rangle \langle N_{\gamma}\rangle }$ for mixed events. $v_{dyn}^{mixed}$ is plotted.

The values of the observable $v_{dyn}^{ch-\gamma}$ for the same side.

The values of the observable $v_{dyn}^{ch-\gamma}$ for the same side.

The values of the observable $v_{dyn}^{ch-\gamma}$ for the away-side.

The values of the observable $v_{dyn}^{ch-\gamma}$ for the away-side.

The correlation between positive and negative charged particles measured by the FTPC and photons measured by the PMD using $v_{dyn}$ for real events.

$r_{m,1}$ vs multiplicity for first order of m.

$r_{m,1}$ vs multiplicity for first order of m.

$r_{m,1}$ vs multiplicity for second order of m.

$r_{m,1}$ vs multiplicity for second order of m.

$r_{m,1}$ vs multiplicity for third order of m.

$r_{m,1}$ vs multiplicity for third order of m.

The moments $r_{m,1}$(m=1-3) for real and mixed events as a function of order m in a fixed multiplicity bin of 47$\langle \sqrt{\langle N_{ch}\rangle \langle N_{\gamma}\rangle }\langle 54$.