Direct photon cross section. (a) The invariant cross sections of the direct photon in $p+p$ [3, 4] and $d$+Au collisions. The $p+p$ fit result with the empirical parameterization described in the text is shown as well as NLO pQCD calculations, and the scaled $p+p$ fit is compared with the $d$+Au data. The closed and open symbols show the results from the virtual photon and $\pi_{0}$-tagging methods, respectively. The asterisk symbols show the result from the statistical subtraction method for $d$+Au data, overlapping with the virtual photon result in 3 < $p_{T}$ < 5 GeV/c. The values in the table are equal to this mean value. The bars and bands represent the point-to-point (ptp.) and $p_{T}$-correlated (cor.) uncertainties, respectively. (b) The $p+p$ data over the fit. The uncertainties of the fit due to both point-to-point (ptp.) and pT -correlated uncertainties of the data are summed quadratically, and the sum is shown as dotted lines. The NLO pQCD calculations divided by the fit are also shown.

Direct photon cross section. (a) The invariant cross sections of the direct photon in $p+p$ [3, 4] and $d$+Au collisions. The $p+p$ fit result with the empirical parameterization described in the text is shown as well as NLO pQCD calculations, and the scaled $p+p$ fit is compared with the $d$+Au data. The closed and open symbols show the results from the virtual photon and $\pi_{0}$-tagging methods, respectively. The asterisk symbols show the result from the statistical subtraction method for $d$+Au data, overlapping with the virtual photon result in 3 < $p_{T}$ < 5 GeV/c. The values in the table are equal to this mean value. The bars and bands represent the point-to-point (ptp.) and $p_{T}$-correlated (cor.) uncertainties, respectively. (b) The $p+p$ data over the fit. The uncertainties of the fit due to both point-to-point (ptp.) and pT -correlated uncertainties of the data are summed quadratically, and the sum is shown as dotted lines. The NLO pQCD calculations divided by the fit are also shown.

(a) The invariant cross sections of the direct photon in $p+p$ [3, 4] and $d$+Au collisions. The $p+p$ fit result with the empirical parameterization described in the text is shown as well as NLO pQCD calculations, and the scaled $p+p$ fit is compared with the $d$+Au data. The closed and open symbols show the results from the virtual photon and $\pi_{0}$-tagging methods, respectively. The asterisk symbols show the result from the statistical subtraction method for $d$+Au data, overlapping with the virtual photon result in 3 < $p_{T}$ < 5 GeV/c. The values in the table are equal to this mean value. The bars and bands represent the point-to-point (ptp.) and $p_{T}$-correlated (cor.) uncertainties, respectively. (b) The $p+p$ data over the fit. The uncertainties of the fit due to both point-to-point (ptp.) and pT -correlated uncertainties of the data are summed quadratically, and the sum is shown as dotted lines. The NLO pQCD calculations divided by the fit are also shown.

$R_{dA}$ ($d$+Au data/scaled $p+p$ fit). Nuclear modification factor for $d$+Au, $R_{dA}$, as a function of $p_{T}$ . The closed and open symbols show the results from the virtual- and real-photon measurements, respectively. The values in the table are equal to this mean value. The bars and bands represent the point-to-point (ptp.) and $p_{T}$-correlated (cor.) uncertainties, respectively. The box on the right shows the uncertainty of $T_{dA}$ for $d$+Au. The curves indicate the theoretical calculations [24] with different combinations of the CNM effects such as the Cronin enhancement, isospin effect, nuclear shadowing and initial state energy loss.

$R_{dA}$ ($d$+Au data/scaled $p+p$ fit). Nuclear modification factor for $d$+Au, $R_{dA}$, as a function of $p_{T}$ . The closed and open symbols show the results from the virtual- and real-photon measurements, respectively. The values in the table are equal to this mean value. The bars and bands represent the point-to-point (ptp.) and $p_{T}$-correlated (cor.) uncertainties, respectively. The box on the right shows the uncertainty of $T_{dA}$ for $d$+Au. The curves indicate the theoretical calculations [24] with different combinations of the CNM effects such as the Cronin enhancement, isospin effect, nuclear shadowing and initial state energy loss.

$R_{AA}$ (Au+Au MB data/scaled $p+p$ fit). Nuclear modification factors for Au+Au (MB) and $d$+Au as a function of $p_{T}$ . The triangle symbols show results from the (closed) virtual [1] and (open) real photon [5] measurements, respectively. The values in the table are equal to this mean value. The bars and bands represent the point-to-point (ptp.) and $p_{T}$-correlated (cor.) uncertainties, respectively. The (+) symbols for $R_{dA}$ for $p_{T}$ < 5 GeV/$c$ illustrates the difference in magnitude for $R_{AA}$ between Au+Au and $d$+Au collisions.

$R_{AA}$ (Au+Au MB data/scaled $p+p$ fit). Nuclear modification factors for Au+Au (MB) and $d$+Au as a function of $p_{T}$ . The triangle symbols show results from the (closed) virtual [1] and (open) real photon [5] measurements, respectively. The values in the table are equal to this mean value. The bars and bands represent the point-to-point (ptp.) and $p_{T}$-correlated (cor.) uncertainties, respectively. The (+) symbols for $R_{dA}$ for $p_{T}$ < 5 GeV/$c$ illustrates the difference in magnitude for $R_{AA}$ between Au+Au and $d$+Au collisions.

INVARIANT YIELDS

RAA

RAA

RAA

RAA

pT AVERAGE RAA

Sloss

Sloss

Sloss

n_eff(xT)

n_eff(xT)

n_eff(xT)

n_eff(xT)

$J/\psi$ invariant yield as a function of $p_T$ for each centrality at $|y|$ < 0.35. The type C systematic uncertainty for each distribution is given as a percentage in the legend. Type A represents uncertainties that are uncorrelated from point to point, Type B represents uncertainties that are correlated from point to point, and Type C represents uncertainties in the overall normalization.

$J/\psi$ invariant yield as a function of $p_T$ for each centrality at $|y|$ < 0.35. The type C systematic uncertainty for each distribution is given as a percentage in the legend. Type A represents uncertainties that are uncorrelated from point to point, Type B represents uncertainties that are correlated from point to point, and Type C represents uncertainties in the overall normalization.

$J/\psi$ invariant yield as a function of $p_T$ for each centrality at $|y|$ < 0.35. The type C systematic uncertainty for each distribution is given as a percentage in the legend. Type A represents uncertainties that are uncorrelated from point to point, Type B represents uncertainties that are correlated from point to point, and Type C represents uncertainties in the overall normalization.

$J/\psi$ invariant yield as a function of $p_T$ for each centrality at $|y|$ < 0.35. The type C systematic uncertainty for each distribution is given as a percentage in the legend. Type A represents uncertainties that are uncorrelated from point to point, Type B represents uncertainties that are correlated from point to point, and Type C represents uncertainties in the overall normalization.

$J/\psi$ invariant yield as a function of $p_T$ for each centrality for −2.2 < $y$ < −1.2. The type C systematic uncertainty for each distribution is given as a percentage in the legend. Type A represents uncertainties that are uncorrelated from point to point, Type B represents uncertainties that are correlated from point to point, and Type C represents uncertainties in the overall normalization.

$J/\psi$ invariant yield as a function of $p_T$ for each centrality for −2.2 < $y$ < −1.2. The type C systematic uncertainty for each distribution is given as a percentage in the legend. Type A represents uncertainties that are uncorrelated from point to point, Type B represents uncertainties that are correlated from point to point, and Type C represents uncertainties in the overall normalization.

$J/\psi$ invariant yield as a function of $p_T$ for each centrality for −2.2 < $y$ < −1.2. The type C systematic uncertainty for each distribution is given as a percentage in the legend. Type A represents uncertainties that are uncorrelated from point to point, Type B represents uncertainties that are correlated from point to point, and Type C represents uncertainties in the overall normalization.

$J/\psi$ invariant yield as a function of $p_T$ for each centrality for −2.2 < $y$ < −1.2. The type C systematic uncertainty for each distribution is given as a percentage in the legend. Type A represents uncertainties that are uncorrelated from point to point, Type B represents uncertainties that are correlated from point to point, and Type C represents uncertainties in the overall normalization.

$J/\psi$ invariant yield as a function of $p_T$ for each centrality for −2.2 < $y$ < −1.2. The type C systematic uncertainty for each distribution is given as a percentage in the legend. Type A represents uncertainties that are uncorrelated from point to point, Type B represents uncertainties that are correlated from point to point, and Type C represents uncertainties in the overall normalization.

$J/\psi$ invariant yield as a function of $p_T$ for each centrality for −2.2 < $y$ < −1.2. The type C systematic uncertainty for each distribution is given as a percentage in the legend. Type A represents uncertainties that are uncorrelated from point to point, Type B represents uncertainties that are correlated from point to point, and Type C represents uncertainties in the overall normalization.

$J/\psi$ invariant yield as a function of $p_T$ for each centrality for −2.2 < $y$ < −1.2. The type C systematic uncertainty for each distribution is given as a percentage in the legend. Type A represents uncertainties that are uncorrelated from point to point, Type B represents uncertainties that are correlated from point to point, and Type C represents uncertainties in the overall normalization.

$J/\psi$ invariant yield as a function of $p_T$ for each centrality for −2.2 < $y$ < −1.2. The type C systematic uncertainty for each distribution is given as a percentage in the legend. Type A represents uncertainties that are uncorrelated from point to point, Type B represents uncertainties that are correlated from point to point, and Type C represents uncertainties in the overall normalization.

$J/\psi$ nuclear modification factor, $R_{dAu}$, as a function of $p_T$ for (a) backward rapidity 0–100% centrality integrated $d$+Au collisions. Type A represents uncertainties that are uncorrelated from point to point, Type B represents uncertainties that are correlated from point to point, and Type C represents uncertainties in the overall normalization.

$J/\psi$ nuclear modification factor, $R_{dAu}$, as a function of $p_T$ for (b) midrapidity 0–100% centrality integrated $d$+Au collisions. Type A represents uncertainties that are uncorrelated from point to point, Type B represents uncertainties that are correlated from point to point, and Type C represents uncertainties in the overall normalization.

$J/\psi$ nuclear modification factor, $R_{dAu}$, as a function of $p_T$ for (c) forward rapidity 0–100% centrality integrated $d$+Au collisions. Type A represents uncertainties that are uncorrelated from point to point, Type B represents uncertainties that are correlated from point to point, and Type C represents uncertainties in the overall normalization.

$J/\psi$ —> $\mu^+\mu^-$ $R_{dAu}$, as a function of $p_T$ for a) central events at −2.2 < $y$ < −1.2. Type A represents uncertainties that are uncorrelated from point to point, Type B represents uncertainties that are correlated from point to point, and Type C represents uncertainties in the overall normalization.

$J/\psi$ —> $\mu^+\mu^-$ $R_{dAu}$, as a function of $p_T$ for b) midcentral events at −2.2 < $y$ < −1.2. Type A represents uncertainties that are uncorrelated from point to point, Type B represents uncertainties that are correlated from point to point, and Type C represents uncertainties in the overall normalization.

$J/\psi$ —> $\mu^+\mu^-$ $R_{dAu}$, as a function of $p_T$ for c) midperipheral events at −2.2 < $y$ < −1.2. Type A represents uncertainties that are uncorrelated from point to point, Type B represents uncertainties that are correlated from point to point, and Type C represents uncertainties in the overall normalization.

$J/\psi$ —> $\mu^+\mu^-$ $R_{dAu}$, as a function of $p_T$ for d) peripheral events at −2.2 < $y$ < −1.2. The 60–88% $R_{dAu}$ point at $p_T$ = 5.75 GeV/$c$ has been left off the figure, as it is above the plotted range and has very large uncertainties, however it is included in the table. Type A represents uncertainties that are uncorrelated from point to point, Type B represents uncertainties that are correlated from point to point, and Type C represents uncertainties in the overall normalization.

$J/\psi$ —> $e^+e^-$ $R_{dAu}$, as a function of $p_T$ for a) central, b) midcentral, c) midperipheral, and d) peripheral events at $|y|$ < 0.35. Type A represents uncertainties that are uncorrelated from point to point, Type B represents uncertainties that are correlated from point to point, and Type C represents uncertainties in the overall normalization.

$J/\psi$ —> $\mu^+\mu^-$ $R_{dAu}$, as a function of $p_T$ for a) central events at 1.2 < $y$ < 2.2. Type A represents uncertainties that are uncorrelated from point to point, Type B represents uncertainties that are correlated from point to point, and Type C represents uncertainties in the overall normalization.

$J/\psi$ —> $\mu^+\mu^-$ $R_{dAu}$, as a function of $p_T$ for b) midcentral events at 1.2 < $y$ < 2.2. Type A represents uncertainties that are uncorrelated from point to point, Type B represents uncertainties that are correlated from point to point, and Type C represents uncertainties in the overall normalization.

$J/\psi$ —> $\mu^+\mu^-$ $R_{dAu}$, as a function of $p_T$ for c) midperipheral events at 1.2 < $y$ < 2.2. Type A represents uncertainties that are uncorrelated from point to point, Type B represents uncertainties that are correlated from point to point, and Type C represents uncertainties in the overall normalization.

$J/\psi$ —> $\mu^+\mu^-$ $R_{dAu}$, as a function of $p_T$ for d) peripheral events at 1.2 < $y$ < 2.2. Type A represents uncertainties that are uncorrelated from point to point, Type B represents uncertainties that are correlated from point to point, and Type C represents uncertainties in the overall normalization.

Identified hadron $v_2$ in midcentral (20–60%, right panels) Au + Au collisions at $\sqrt{s_{NN}}$ = 200 GeV. Panels (a) and (b) show $v_2$ as a function of transverse momentum $p_T$. The $v_2$ of all species for centrality 0–20% has been scaled up by a factor of 1.6 for better comparison with results of 20–60% centrality. The error bars (shaded boxes) represent the statistical (systematic) uncertainties. The systematic uncertainties shown are type A and B only.

Identified hadron $v_2$ in midcentral (20–60%, right panels) Au + Au collisions at $\sqrt{s_{NN}}$ = 200 GeV. Panels (a) and (b) show $v_2$ as a function of transverse momentum $p_T$. The $v_2$ of all species for centrality 0–20% has been scaled up by a factor of 1.6 for better comparison with results of 20–60% centrality. The error bars (shaded boxes) represent the statistical (systematic) uncertainties. The systematic uncertainties shown are type A and B only.

Identified hadron $v_2$ in midcentral (20–60%, right panels) Au + Au collisions at $\sqrt{s_{NN}}$ = 200 GeV. Panels (a) and (b) show $v_2$ as a function of transverse momentum $p_T$. The $v_2$ of all species for centrality 0–20% has been scaled up by a factor of 1.6 for better comparison with results of 20–60% centrality. The error bars (shaded boxes) represent the statistical (systematic) uncertainties. The systematic uncertainties shown are type A and B only.

The quark-number-scaled $v_2$ ($v_2/n_q$) of identified hadrons are shown as a function of the kinetic energy per quark, KE$_T/n_q$ in 0–10% centrality [panel (a)] in Au + Au collisions at $\sqrt{s_{NN}}$ = 200 GeV. The error bars (shaded boxes) represent the statistical (systematic) uncertainties. The systematic uncertainties shown are type A and B only.

The quark-number-scaled $v_2$ ($v_2/n_q$) of identified hadrons are shown as a function of the kinetic energy per quark, KE$_T/n_q$ in 0–10% centrality [panel (a)] in Au + Au collisions at $\sqrt{s_{NN}}$ = 200 GeV. The error bars (shaded boxes) represent the statistical (systematic) uncertainties. The systematic uncertainties shown are type A and B only.

The quark-number-scaled $v_2$ ($v_2/n_q$) of identified hadrons are shown as a function of the kinetic energy per quark, KE$_T/n_q$ in 0–10% centrality [panel (a)] in Au + Au collisions at $\sqrt{s_{NN}}$ = 200 GeV. The error bars (shaded boxes) represent the statistical (systematic) uncertainties. The systematic uncertainties shown are type A and B only.

The quark-number-scaled $v_2$ ($v_2/n_q$) of identified hadrons are shown as a function of the kinetic energy per quark, KE$_T/n_q$ in 10–20% centrality [panel (b)] in Au + Au collisions at $\sqrt{s_{NN}}$ = 200 GeV. The error bars (shaded boxes) represent the statistical (systematic) uncertainties. The systematic uncertainties shown are type A and B only.

The quark-number-scaled $v_2$ ($v_2/n_q$) of identified hadrons are shown as a function of the kinetic energy per quark, KE$_T/n_q$ in 10–20% centrality [panel (b)] in Au + Au collisions at $\sqrt{s_{NN}}$ = 200 GeV. The error bars (shaded boxes) represent the statistical (systematic) uncertainties. The systematic uncertainties shown are type A and B only.

The quark-number-scaled $v_2$ ($v_2/n_q$) of identified hadrons are shown as a function of the kinetic energy per quark, KE$_T/n_q$ in 10–20% centrality [panel (b)] in Au + Au collisions at $\sqrt{s_{NN}}$ = 200 GeV. The error bars (shaded boxes) represent the statistical (systematic) uncertainties. The systematic uncertainties shown are type A and B only.

The quark-number-scaled $v_2$ ($v_2/n_q$) of identified hadrons are shown as a function of the kinetic energy per quark, KE$_T/n_q$ in 20–40% centrality [panel (c)] in Au + Au collisions at $\sqrt{s_{NN}}$ = 200 GeV. The error bars (shaded boxes) represent the statistical (systematic) uncertainties. The systematic uncertainties shown are type A and B only.

The quark-number-scaled $v_2$ ($v_2/n_q$) of identified hadrons are shown as a function of the kinetic energy per quark, KE$_T/n_q$ in 20–40% centrality [panel (c)] in Au + Au collisions at $\sqrt{s_{NN}}$ = 200 GeV. The error bars (shaded boxes) represent the statistical (systematic) uncertainties. The systematic uncertainties shown are type A and B only.

The quark-number-scaled $v_2$ ($v_2/n_q$) of identified hadrons are shown as a function of the kinetic energy per quark, KE$_T/n_q$ in 20–40% centrality [panel (c)] in Au + Au collisions at $\sqrt{s_{NN}}$ = 200 GeV. The error bars (shaded boxes) represent the statistical (systematic) uncertainties. The systematic uncertainties shown are type A and B only.

The quark-number-scaled $v_2$ ($v_2/n_q$) of identified hadrons are shown as a function of the kinetic energy per quark, KE$_T/n_q$ in 40–60% centrality [panel (d)] in Au + Au collisions at $\sqrt{s_{NN}}$ = 200 GeV. The error bars (shaded boxes) represent the statistical (systematic) uncertainties. The systematic uncertainties shown are type A and B only.

The quark-number-scaled $v_2$ ($v_2/n_q$) of identified hadrons are shown as a function of the kinetic energy per quark, KE$_T/n_q$ in 40–60% centrality [panel (d)] in Au + Au collisions at $\sqrt{s_{NN}}$ = 200 GeV. The error bars (shaded boxes) represent the statistical (systematic) uncertainties. The systematic uncertainties shown are type A and B only.

The quark-number-scaled $v_2$ ($v_2/n_q$) of identified hadrons are shown as a function of the kinetic energy per quark, KE$_T/n_q$ in 40–60% centrality [panel (d)] in Au + Au collisions at $\sqrt{s_{NN}}$ = 200 GeV. The error bars (shaded boxes) represent the statistical (systematic) uncertainties. The systematic uncertainties shown are type A and B only.

The quark-number-scaled $v_2$ ($v_2/n_q$) of identified hadrons are shown as a function of the kinetic energy per quark, KE$_T/n_q$ in 10–40% centrality [panel (b)] in Au + Au collisions at $\sqrt{s_{NN}}$ = 200 GeV. The $v_2$ of $\Lambda$ and K$^0_S$ are measured by STAR collaboration [21]. The error bars (open boxes) represent the statistical (systematic) uncertainties. The systematic uncertainties shown on the results from this study are type A and B only.

The quark-number-scaled $v_2$ ($v_2/n_q$) of identified hadrons are shown as a function of the kinetic energy per quark, KE$_T/n_q$ in 10–40% centrality [panel (b)] in Au + Au collisions at $\sqrt{s_{NN}}$ = 200 GeV. The $v_2$ of $\Lambda$ and K$^0_S$ are measured by STAR collaboration [21]. The error bars (open boxes) represent the statistical (systematic) uncertainties. The systematic uncertainties shown on the results from this study are type A and B only.

The quark-number-scaled $v_2$ ($v_2/n_q$) of identified hadrons are shown as a function of the kinetic energy per quark, KE$_T/n_q$ in 10–40% centrality [panel (b)] in Au + Au collisions at $\sqrt{s_{NN}}$ = 200 GeV. The $v_2$ of $\Lambda$ and K$^0_S$ are measured by STAR collaboration [21]. The error bars (open boxes) represent the statistical (systematic) uncertainties. The systematic uncertainties shown on the results from this study are type A and B only.

Cross section of midrapidity charged-hadron production from $p$ + $p$ collisions at $\sqrt{s}$ = 62.4 GeV as a function of $p_T$ for positive and negative hadrons.

Double-helicity asymmetries and the statistical uncertainties as a function of $p_T$ for positive and negative inclusive charged hadrons from $p$ + $p$ collisions at $\sqrt{s}$ = 62.4 GeV.

$\psi^{\prime}(J/\psi)$ dielectron yield ratio measured at $|y|$ < 0.35 followed by point-to-point uncorrelated (uncorr.) (statistical and uncorrelated systematic uncertainties) and correlated systematic (corr.) uncertainties.

$J/\psi$ counts obtained from the dimuon decay analysis of four different data sets, determined using the fit function. The S and N following 2006 and 2008 indicate the data sets for the south and north forward arms.

$J/\psi$ counts obtained from the dimuon decay analysis of four different data sets, determined using the fit function. The S and N following 2006 and 2008 indicate the data sets for the south and north forward arms.

Transverse momentum dependence of $J/\psi$ and $\psi^{\prime}$ yields in $|y|$ < 0.35, and ${\psi^{\prime}}/{J/\psi}$ ratio together with ratios obtained in other experiments. Uncertainties are point-to-point uncorrelated (uncorr.) (statistical and uncorrelated systematic uncertainties) and correlated systematic (corr.) uncertainties. The global uncertainty is 10%.

Transverse momentum dependence of $J/\psi$ and $\psi^{\prime}$ yields in $|y|$ < 0.35, and ${\psi^{\prime}}/{J/\psi}$ ratio together with ratios obtained in other experiments. Uncertainties are point-to-point uncorrelated (uncorr.) (statistical and uncorrelated systematic uncertainties) and correlated systematic (corr.) uncertainties. The global uncertainty is 10%.

Transverse momentum dependence of $J/\psi$ and $\psi^{\prime}$ yields in $|y|$ < 0.35, and ${\psi^{\prime}}/{J/\psi}$ ratio together with ratios obtained in other experiments. Uncertainties are point-to-point uncorrelated (uncorr.) (statistical and uncorrelated systematic uncertainties) and correlated systematic (corr.) uncertainties. The global uncertainty is 10%.

Transverse momentum dependence of the $J/\psi$ dimuon differential cross section obtained in the muon arms in 2006 and 2008 Runs. Uncertainties are point-to-point uncorrelated (uncorr.) (statistical and uncorrelated systematic uncertainties) and correlated systematic (corr.) uncertainties. The global uncertainty is 10%.

Rapidity dependence of the $J/\psi$ yield combining dielectron ($|y|$ < 0.35 - full squares) with dimuon channels (1.2 < $|y|$ < 2.4 - full circles) along with the fits used to estimate the total cross section. Uncertainties are point-to-point uncorrelated (uncorr.) (statistical and uncorrelated systematic uncertainties) and correlated systematic (corr.) uncertainties. The global uncertainty is 10%.

Charged hadron azimuthal anisotropy $v_2$, $v_3$, and $v_4$ vs $p_T$ in 30-40% central Au+Au collisions at 200 GeV. The mean $<p_T>$ in each $p_T$ bins used for the $v_n$ measurement is shown in Fig.2.6.

Charged hadron azimuthal anisotropy $v_2$, $v_3$, and $v_4$ vs $p_T$ in 40-50% central Au+Au collisions at 200 GeV. The mean $<p_T>$ in each $p_T$ bins used for the $v_n$ measurement is shown in Fig.2.6.

Charged hadron azimuthal anisotropy $v_2$, and $v_3$ vs $p_T$ in 50-60% central Au+Au collisions at 200 GeV. The mean $<p_T>$ in each $p_T$ bins used for the $v_n$ measurement is shown in Fig.2.6.

Charged hadron mean $<p_T>$ in each $p_T$ bins used for the $v_n$ measurements in Au+Au collisions at 200 GeV.

Charged hadron azimuthal anisotropy $v_2$ and $v_3$ vs centrality in Au+Au collisions at 200 GeV. The corresponding Npart value to each centrality is shown in Fig.3.2.

Charged hadron azimuthal anisotropy $v_4$ vs centrality in Au+Au collisions at 200 GeV. The corresponding Npart value to each centrality is shown in Fig.3.2.

Npart in each centrality bin in Au+Au collisions at 200 GeV.

$J_{dA}$ versus $x^{frag}_{Au}$ for $d$+Au collisions at $\sqrt{s_{NN}}$ = 200 GeV for different centrality classes.

$J_{dA}$ versus $x^{frag}_{Au}$ for $d$+Au collisions at $\sqrt{s_{NN}}$ = 200 GeV for different centrality classes.

$J_{dA}$ versus $x^{frag}_{Au}$ for $d$+Au collisions at $\sqrt{s_{NN}}$ = 200 GeV for different centrality classes.

$p_T$ versus $R_{dA}$ for $\pi^0$ and range of 3.0 < $\eta$ < 3.8.

PHENIX $\pi^0$ invariant cross-section for $p$+$p$ collisions for range 3.0 < $\eta$ < 3.8.

Invariant transverse momentum spectra of $\omega$ production in $p$+$p$ and $d$+Au collisions at $\sqrt{s}$=200 GeV.

Invariant transverse momentum spectra of $\omega$ production in $p$+$p$ and $d$+Au collisions at $\sqrt{s}$=200 GeV.

Invariant transverse momentum spectra of $\omega$ production in Cu+Cu (left) and Au+Au (right) collisions from the $\omega \rightarrow \pi^0 \gamma$ decay channel for three centrality bins and minimum bias.

Invariant transverse momentum spectra of $\omega$ production in Cu+Cu (left) and Au+Au (right) collisions from the $\omega \rightarrow \pi^0 \gamma$ decay channel for three centrality bins and minimum bias.

Invariant transverse momentum spectra of $\omega$ production in Cu+Cu (left) and Au+Au (right) collisions from the $\omega \rightarrow \pi^0 \gamma$ decay channel for three centrality bins and minimum bias.

Invariant transverse momentum spectra of $\omega$ production in Cu+Cu (left) and Au+Au (right) collisions from the $\omega \rightarrow \pi^0 \gamma$ decay channel for three centrality bins and minimum bias.

Invariant transverse momentum spectra of $\omega$ production in Cu+Cu (left) and Au+Au (right) collisions from the $\omega \rightarrow \pi^0 \gamma$ decay channel for three centrality bins and minimum bias.

Invariant transverse momentum spectra of $\omega$ production in Cu+Cu (left) and Au+Au (right) collisions from the $\omega \rightarrow \pi^0 \gamma$ decay channel for three centrality bins and minimum bias.

Measured ${\omega}/{\pi}$ ratio as a function of $p_T$ in $p$ + $p$ collisions at $\sqrt{s}$=200 GeV.

Measured ${\omega}/{\pi}$ ratio as a function of $p_T$ in $p$ + $p$ collisions at $\sqrt{s}$=200 GeV.

Measured ${\omega}/{\pi}$ ratio as a function of $p_T$ in $p$ + $p$ collisions at $\sqrt{s}$=200 GeV.

${\omega}/{\pi}$ ratio versus transverse momentum in $d$+Au (0–88%) for $\omega \rightarrow {e}^{+}{e}^{-}$.

${\omega}/{\pi}$ ratio versus transverse momentum in $d$+Au (0–88%) for $\omega \rightarrow {\pi}^{+}{\pi}^{-}\pi^0$.

${\omega}/{\pi}$ ratio versus transverse momentum in $d$+Au (0–88%) for $\omega \rightarrow {\pi}^{0}\gamma$.

${\omega}/{\pi}$ ratio versus transverse momentum in Cu+Cu (0–94%) for $\omega \rightarrow {\pi}^{0}\gamma$.

${\omega}/{\pi}$ ratio versus transverse momentum in Au+Au (0–92%) for $\omega \rightarrow {\pi}^{0}\gamma$.

${\omega}/{\pi}$ ratio versus transverse momentum in Au+Au (0–92%) for $\omega \rightarrow {\pi}^{0}\gamma$.

Nuclear modification factor, RdAu, measured for the ${R}_{dAu}$ in 0–88, 0–20, 20-40, and 40-60% centrality bins in $d$+Au collisions at $\sqrt{s}$=200 GeV.

Nuclear modification factor, RdAu, measured for the ${R}_{dAu}$ in 60–88% centrality bins in $d$+Au collisions at $\sqrt{s}$=200 GeV.

Nuclear modification factor, RdAu, measured for the ${R}_{dAu}$ in 0–88, 20-40, and 40–60% centrality bins in $d$+Au collisions at $\sqrt{s}$=200 GeV.

Nuclear modification factor, RdAu, measured for the ${R}_{dAu}$ in 0–20 and 60–88% centrality bins in $d$+Au collisions at $\sqrt{s}$=200 GeV.

Nuclear modification factor, RdAu, measured for the ${R}_{dAu}$ in 0–88, 0–20, 20-40, 40-60, and 60–88% centrality bins in $d$+Au collisions at $\sqrt{s}$=200 GeV.

$R_{AA}$ of the $\omega$ in Cu+Cu collisions from the $\omega \rightarrow \pi^0\gamma$ decay channel.

$R_{AA}$ of the $\omega$ in Au+Au collisions from the $\omega \rightarrow \pi^0 \gamma$ decay channel.

$R_{AA}$ of the $\omega$ in Au+Au collisions from the $\omega \rightarrow \pi^0 \gamma$ decay channel.

$R_{AA}$ of the $\omega$ in Au+Au collisions from the $\omega \rightarrow \pi^0 \gamma$ decay channel.

$R_{AA}$ of the $\omega$ in Au+Au collisions from the $\omega \rightarrow \pi^0 \gamma$ decay channel.

$R_{AA}$ of the $\omega$ in and Au+Au collisions from the $\omega \rightarrow \pi^0 \gamma$ decay channel.

($R_{AA}$) of the $\omega \rightarrow \pi^+\pi^-\pi^0$ collision for the $\omega$ meson integrated over the range $p_T$ > 7 $\mathrm{GeV}$/$c$ as a function of the number participating nucleons ($N_{part}$).

($R_{AA}$) of the $\omega \rightarrow \pi^0 \gamma$ collision for the $\omega$ meson integrated over the range $p_T$ > 7 $\mathrm{GeV}$/$c$ as a function of the number participating nucleons ($N_{part}$).

$R_{AA}$ of the $\omega \rightarrow \pi^0 \gamma$ collision for the $\omega$ meson integrated over the range $p_T$ > 7 $\mathrm{GeV}$/$c$ as a function of the number participating nucleons ($N_{part}$).