Showing 4 of 4 results
High precision measurements of flow coefficients $v_{n}$ ($n = 1 - 4$) for protons, deuterons and tritons relative to the first-order spectator plane have been performed in Au+Au collisions at $\sqrt{s_{NN}} = 2.4$ GeV with the High-Acceptance Di-Electron Spectrometer (HADES) at the SIS18/GSI. Flow coefficients are studied as a function of transverse momentum $p_{t}$ and rapidity $y_{cm}$ over a large region of phase space and for several classes of collision centrality. A clear mass hierarchy is found for the slope of $v_{1}$, $d v_{1}/d y^{\prime}|_{y^{\prime} = 0}$ where $y^{\prime}$ is the scaled rapidity, and for $v_{2}$ at mid-rapidity. Scaling with the number of nucleons is observed for the $p_{t}$ dependence of $v_{2}$ and $v_{4}$ at mid-rapidity, which is indicative for nuclear coalescence as the main process responsible for light nuclei formation. $v_{2}$ is found to scale with the initial eccentricity $\langle \epsilon_{2} \rangle$, while $v_{4}$ scales with $\langle \epsilon_{2} \rangle^{2}$ and $\langle \epsilon_{4} \rangle$. The multi-differential high-precision data on $v_{1}$, $v_{2}$, $v_{3}$, and $v_{4}$ provides important constraints on the equation-of-state of compressed baryonic matter.
The resolution $\Re_{n}$ of the first-order spectator event plane for flow coefficients of different orders $n$ as a function of the event centrality (Adamczewski-Musch:2020iio). The circles correspond to centrality intervals of $5 \%$ width and the squares to $10 \%$ width (curves are meant to guide the eye).
The resolution $\Re_{n}$ of the first-order spectator event plane for flow coefficients of different orders $n$ as a function of the event centrality (Adamczewski-Musch:2020iio). The circles correspond to centrality intervals of $5 \%$ width and the squares to $10 \%$ width (curves are meant to guide the eye).
The flow coefficients $v_{1}$, $v_{2}$, $v_{3}$, and $v_{4}$ (from top to bottom panels) of protons, deuterons and tritons (from left to right panels) in semi-central ($20 - 30 \%$) Au+Au collisions at $\sqrt{s_{NN}} = 2.4$ GeV as a function of the centre-of-mass rapidity $y_{cm}$ in transverse momentum intervals of $50$ MeV$/c$ width. Systematic uncertainties are displayed as boxes. Lines are to guide the eye.
The flow coefficients $v_{1}$, $v_{2}$, $v_{3}$, and $v_{4}$ (from top to bottom panels) of protons, deuterons and tritons (from left to right panels) in semi-central ($20 - 30 \%$) Au+Au collisions at $\sqrt{s_{NN}} = 2.4$ GeV as a function of the centre-of-mass rapidity $y_{cm}$ in transverse momentum intervals of $50$ MeV$/c$ width. Systematic uncertainties are displayed as boxes. Lines are to guide the eye.
The flow coefficients $v_{1}$, $v_{2}$, $v_{3}$, and $v_{4}$ (from top to bottom panels) of protons, deuterons and tritons (from left to right panels) in semi-central ($20 - 30 \%$) Au+Au collisions at $\sqrt{s_{NN}} = 2.4$ GeV as a function of the centre-of-mass rapidity $y_{cm}$ in transverse momentum intervals of $50$ MeV$/c$ width. Systematic uncertainties are displayed as boxes. Lines are to guide the eye.
The flow coefficients $v_{1}$, $v_{2}$, $v_{3}$, and $v_{4}$ (from top to bottom panels) of protons, deuterons and tritons (from left to right panels) in semi-central ($20 - 30 \%$) Au+Au collisions at $\sqrt{s_{NN}} = 2.4$ GeV as a function of the centre-of-mass rapidity $y_{cm}$ in transverse momentum intervals of $50$ MeV$/c$ width. Systematic uncertainties are displayed as boxes. Lines are to guide the eye.
The flow coefficients $v_{1}$, $v_{2}$, $v_{3}$, and $v_{4}$ (from top to bottom panels) of protons, deuterons and tritons (from left to right panels) in semi-central ($20 - 30 \%$) Au+Au collisions at $\sqrt{s_{NN}} = 2.4$ GeV as a function of the centre-of-mass rapidity $y_{cm}$ in transverse momentum intervals of $50$ MeV$/c$ width. Systematic uncertainties are displayed as boxes. Lines are to guide the eye.
The flow coefficients $v_{1}$, $v_{2}$, $v_{3}$, and $v_{4}$ (from top to bottom panels) of protons, deuterons and tritons (from left to right panels) in semi-central ($20 - 30 \%$) Au+Au collisions at $\sqrt{s_{NN}} = 2.4$ GeV as a function of the centre-of-mass rapidity $y_{cm}$ in transverse momentum intervals of $50$ MeV$/c$ width. Systematic uncertainties are displayed as boxes. Lines are to guide the eye.
The flow coefficients $v_{1}$, $v_{2}$, $v_{3}$, and $v_{4}$ (from top to bottom panels) of protons, deuterons and tritons (from left to right panels) in semi-central ($20 - 30 \%$) Au+Au collisions at $\sqrt{s_{NN}} = 2.4$ GeV as a function of the centre-of-mass rapidity $y_{cm}$ in transverse momentum intervals of $50$ MeV$/c$ width. Systematic uncertainties are displayed as boxes. Lines are to guide the eye.
The flow coefficients $v_{1}$, $v_{2}$, $v_{3}$, and $v_{4}$ (from top to bottom panels) of protons, deuterons and tritons (from left to right panels) in semi-central ($20 - 30 \%$) Au+Au collisions at $\sqrt{s_{NN}} = 2.4$ GeV as a function of the centre-of-mass rapidity $y_{cm}$ in transverse momentum intervals of $50$ MeV$/c$ width. Systematic uncertainties are displayed as boxes. Lines are to guide the eye.
The flow coefficients $v_{1}$, $v_{2}$, $v_{3}$, and $v_{4}$ (from top to bottom panels) of protons, deuterons and tritons (from left to right panels) in semi-central ($20 - 30 \%$) Au+Au collisions at $\sqrt{s_{NN}} = 2.4$ GeV as a function of the centre-of-mass rapidity $y_{cm}$ in transverse momentum intervals of $50$ MeV$/c$ width. Systematic uncertainties are displayed as boxes. Lines are to guide the eye.
The flow coefficients $v_{1}$, $v_{2}$, $v_{3}$, and $v_{4}$ (from top to bottom panels) of protons, deuterons and tritons (from left to right panels) in semi-central ($20 - 30 \%$) Au+Au collisions at $\sqrt{s_{NN}} = 2.4$ GeV as a function of the centre-of-mass rapidity $y_{cm}$ in transverse momentum intervals of $200$ MeV$/c$ width. Systematic uncertainties are displayed as boxes. Lines are to guide the eye.
The flow coefficients $v_{1}$, $v_{2}$, $v_{3}$, and $v_{4}$ (from top to bottom panels) of protons, deuterons and tritons (from left to right panels) in semi-central ($20 - 30 \%$) Au+Au collisions at $\sqrt{s_{NN}} = 2.4$ GeV as a function of the centre-of-mass rapidity $y_{cm}$ in transverse momentum intervals of $200$ MeV$/c$ width. Systematic uncertainties are displayed as boxes. Lines are to guide the eye.
The flow coefficients $v_{1}$, $v_{2}$, $v_{3}$, and $v_{4}$ (from top to bottom panels) of protons, deuterons and tritons (from left to right panels) in semi-central ($20 - 30 \%$) Au+Au collisions at $\sqrt{s_{NN}} = 2.4$ GeV as a function of the centre-of-mass rapidity $y_{cm}$ in transverse momentum intervals of $200$ MeV$/c$ width. Systematic uncertainties are displayed as boxes. Lines are to guide the eye.
The flow coefficients $v_{1}$, $v_{2}$, $v_{3}$, and $v_{4}$ (from top to bottom panels) of protons, deuterons and tritons (from left to right panels) in semi-central ($20 - 30 \%$) Au+Au collisions at $\sqrt{s_{NN}} = 2.4$ GeV as a function of $p_{t}$ in several rapidity intervals chosen symmetrically around mid-rapidity. Systematic uncertainties are displayed as boxes.
The flow coefficients $v_{1}$, $v_{2}$, $v_{3}$, and $v_{4}$ (from top to bottom panels) of protons, deuterons and tritons (from left to right panels) in semi-central ($20 - 30 \%$) Au+Au collisions at $\sqrt{s_{NN}} = 2.4$ GeV as a function of $p_{t}$ in several rapidity intervals chosen symmetrically around mid-rapidity. Systematic uncertainties are displayed as boxes.
The flow coefficients $v_{1}$, $v_{2}$, $v_{3}$, and $v_{4}$ (from top to bottom panels) of protons, deuterons and tritons (from left to right panels) in semi-central ($20 - 30 \%$) Au+Au collisions at $\sqrt{s_{NN}} = 2.4$ GeV as a function of $p_{t}$ in several rapidity intervals chosen symmetrically around mid-rapidity. Systematic uncertainties are displayed as boxes.
The flow coefficients $v_{1}$, $v_{2}$, $v_{3}$, and $v_{4}$ (from top to bottom panels) of protons, deuterons and tritons (from left to right panels) in semi-central ($20 - 30 \%$) Au+Au collisions at $\sqrt{s_{NN}} = 2.4$ GeV as a function of $p_{t}$ in several rapidity intervals chosen symmetrically around mid-rapidity. Systematic uncertainties are displayed as boxes.
The flow coefficients $v_{1}$, $v_{2}$, $v_{3}$, and $v_{4}$ (from top to bottom panels) of protons, deuterons and tritons (from left to right panels) in semi-central ($20 - 30 \%$) Au+Au collisions at $\sqrt{s_{NN}} = 2.4$ GeV as a function of $p_{t}$ in several rapidity intervals chosen symmetrically around mid-rapidity. Systematic uncertainties are displayed as boxes.
The flow coefficients $v_{1}$, $v_{2}$, $v_{3}$, and $v_{4}$ (from top to bottom panels) of protons, deuterons and tritons (from left to right panels) in semi-central ($20 - 30 \%$) Au+Au collisions at $\sqrt{s_{NN}} = 2.4$ GeV as a function of $p_{t}$ in several rapidity intervals chosen symmetrically around mid-rapidity. Systematic uncertainties are displayed as boxes.
The flow coefficients $v_{1}$, $v_{2}$, $v_{3}$, and $v_{4}$ (from top to bottom panels) of protons, deuterons and tritons (from left to right panels) in semi-central ($20 - 30 \%$) Au+Au collisions at $\sqrt{s_{NN}} = 2.4$ GeV as a function of $p_{t}$ in several rapidity intervals chosen symmetrically around mid-rapidity. Systematic uncertainties are displayed as boxes.
The flow coefficients $v_{1}$, $v_{2}$, $v_{3}$, and $v_{4}$ (from top to bottom panels) of protons, deuterons and tritons (from left to right panels) in semi-central ($20 - 30 \%$) Au+Au collisions at $\sqrt{s_{NN}} = 2.4$ GeV as a function of $p_{t}$ in several rapidity intervals chosen symmetrically around mid-rapidity. Systematic uncertainties are displayed as boxes.
The flow coefficients $v_{1}$, $v_{2}$, $v_{3}$, and $v_{4}$ (from top to bottom panels) of protons, deuterons and tritons (from left to right panels) in semi-central ($20 - 30 \%$) Au+Au collisions at $\sqrt{s_{NN}} = 2.4$ GeV as a function of $p_{t}$ in several rapidity intervals chosen symmetrically around mid-rapidity. Systematic uncertainties are displayed as boxes.
The flow coefficients $v_{1}$, $v_{2}$, $v_{3}$, and $v_{4}$ (from top to bottom panels) of protons, deuterons and tritons (from left to right panels) in semi-central ($20 - 30 \%$) Au+Au collisions at $\sqrt{s_{NN}} = 2.4$ GeV as a function of $p_{t}$ in several rapidity intervals chosen symmetrically around mid-rapidity. Systematic uncertainties are displayed as boxes.
The flow coefficients $v_{1}$, $v_{2}$, $v_{3}$, and $v_{4}$ (from top to bottom panels) of protons, deuterons and tritons (from left to right panels) in semi-central ($20 - 30 \%$) Au+Au collisions at $\sqrt{s_{NN}} = 2.4$ GeV as a function of $p_{t}$ in several rapidity intervals chosen symmetrically around mid-rapidity. Systematic uncertainties are displayed as boxes.
The flow coefficients $v_{1}$, $v_{2}$, $v_{3}$, and $v_{4}$ (from top to bottom panels) of protons, deuterons and tritons (from left to right panels) in semi-central ($20 - 30 \%$) Au+Au collisions at $\sqrt{s_{NN}} = 2.4$ GeV as a function of $p_{t}$ in several rapidity intervals chosen symmetrically around mid-rapidity. Systematic uncertainties are displayed as boxes.
Directed (d$v_{1}$/d$y^{\prime}|_{y^{\prime} = 0}$, upper left panel), triangular (d$v_{3}$/d$y^{\prime}|_{y^{\prime} = 0}$, upper right panel), elliptic ($v_{2}$, lower left panel) and quadrangular ($v_{4}$, lower right panel) flow of protons, deuterons and tritons in two transverse momentum intervals (open symbols: $0.6 < p_{t} < 0.9$ GeV$/c$ and filled symbols: $1.5 < p_{t} < 1.8$ GeV$/c$) at mid-rapidity in Au+Au collisions at $\sqrt{s_{NN}} = 2.4$ GeV for four centrality classes. Systematic uncertainties are displayed as boxes.
Directed (d$v_{1}$/d$y^{\prime}|_{y^{\prime} = 0}$, upper left panel), triangular (d$v_{3}$/d$y^{\prime}|_{y^{\prime} = 0}$, upper right panel), elliptic ($v_{2}$, lower left panel) and quadrangular ($v_{4}$, lower right panel) flow of protons, deuterons and tritons in two transverse momentum intervals (open symbols: $0.6 < p_{t} < 0.9$ GeV$/c$ and filled symbols: $1.5 < p_{t} < 1.8$ GeV$/c$) at mid-rapidity in Au+Au collisions at $\sqrt{s_{NN}} = 2.4$ GeV for four centrality classes. Systematic uncertainties are displayed as boxes.
Directed (d$v_{1}$/d$y^{\prime}|_{y^{\prime} = 0}$, upper left panel), triangular (d$v_{3}$/d$y^{\prime}|_{y^{\prime} = 0}$, upper right panel), elliptic ($v_{2}$, lower left panel) and quadrangular ($v_{4}$, lower right panel) flow of protons, deuterons and tritons in two transverse momentum intervals (open symbols: $0.6 < p_{t} < 0.9$ GeV$/c$ and filled symbols: $1.5 < p_{t} < 1.8$ GeV$/c$) at mid-rapidity in Au+Au collisions at $\sqrt{s_{NN}} = 2.4$ GeV for four centrality classes. Systematic uncertainties are displayed as boxes.
Directed (d$v_{1}$/d$y^{\prime}|_{y^{\prime} = 0}$, upper left panel), triangular (d$v_{3}$/d$y^{\prime}|_{y^{\prime} = 0}$, upper right panel), elliptic ($v_{2}$, lower left panel) and quadrangular ($v_{4}$, lower right panel) flow of protons, deuterons and tritons in two transverse momentum intervals (open symbols: $0.6 < p_{t} < 0.9$ GeV$/c$ and filled symbols: $1.5 < p_{t} < 1.8$ GeV$/c$) at mid-rapidity in Au+Au collisions at $\sqrt{s_{NN}} = 2.4$ GeV for four centrality classes. Systematic uncertainties are displayed as boxes.
Shown as red points are the slope of $v_{1}$ at mid-rapidity (left panel), d$v_{1}$/d$y^{\prime}|_{y^{\prime} = 0}$, and the $p_{t}$ integrated $v_{2}$ at mid-rapidity (right panel) for protons in Au+Au collisions at $\sqrt{s_{NN}} = 2.4$ GeV ($10 - 30 \%$ centrality).
Parameters describing the initial nucleon distribution for the different centrality classes as calculated within the Glauber-MC approach (Adamczewski-Musch:2017sdk). Listed are the corresponding average impact parameter $\langle b \rangle$ and the average participant eccentricities $\langle \epsilon_{2} \rangle$ and $\langle \epsilon_{4} \rangle$.
Scaled elliptic flow of protons, deuterons and tritons in two transverse momentum intervals at mid-rapidity in Au+Au collisions at $\sqrt{s_{NN}} = 2.4$ GeV for four centrality classes. The values are divided by the second order eccentricity, $v_{2} / \langle \epsilon_{2} \rangle$, as calculated within the Glauber-MC approach for the corresponding centrality range (see Table 4 Eccentricities). Systematic uncertainties are displayed as boxes.
Same as in Figure 15, but for the scaled quadrangular flow. The values are divided by the square of second order eccentricity, $v_{4} / \langle \epsilon_{2} \rangle^{2}$ (left panel), and by the fourth order eccentricity, $v_{4} / \langle \epsilon_{4} \rangle$ (right panel).
Same as in Figure 15, but for the scaled quadrangular flow. The values are divided by the square of second order eccentricity, $v_{4} / \langle \epsilon_{2} \rangle^{2}$ (left panel), and by the fourth order eccentricity, $v_{4} / \langle \epsilon_{4} \rangle$ (right panel).
Flow coefficients $v_{n}$ of the orders $n = 1 - 6$ are measured with the High-Acceptance DiElectron Spectrometer (HADES) at GSI for protons, deuterons and tritons as a function of centrality, transverse momentum and rapidity in Au+Au collisions at $\sqrt{s_{NN}} = 2.4$ GeV. Combining the information from the flow coefficients of all orders allows to construct for the first time, at collision energies of a few GeV, a multi-differential picture of the angular emission pattern of these particles. It reflects the complicated interplay between the effect of the central fireball pressure on the emission of particles and their subsequent interaction with spectator matter. The high precision information on higher order flow coefficients is a major step forward in constraining the equation-of-state of dense baryonic matter.
The $p_{t}$ dependence of $v_{1}$ for protons, deuterons and tritons in the rapidity interval $-0.25 < y_{cm} < -0.15$ in semi-central ($20 - 30$ %) $\mathrm{Au}+\mathrm{Au}$ collisions at $\sqrt{{s}_{NN}}=2.4$ GeV.
The $p_{t}$ dependence of $v_{3}$ for protons, deuterons and tritons in the rapidity interval $-0.25 < y_{cm} < -0.15$ in semi-central ($20 - 30$ %) $\mathrm{Au}+\mathrm{Au}$ collisions at $\sqrt{{s}_{NN}}=2.4$ GeV.
The $p_{t}$ dependence of $v_{5}$ for protons, deuterons and tritons in the rapidity interval $-0.25 < y_{cm} < -0.15$ in semi-central ($20 - 30$ %) $\mathrm{Au}+\mathrm{Au}$ collisions at $\sqrt{{s}_{NN}}=2.4$ GeV.
The $y_{cm}$ dependences of $v_{1}$ for protons, deuterons and tritons averaged over the $p_{t}$ interval $1.0 < p_{t} < 1.5$ GeV$/c$ in semi-central ($20 - 30$ %) Au+Au collisions at $\sqrt{{s}_{NN}}=2.4$ GeV.
The $y_{cm}$ dependences of $v_{3}$ for protons, deuterons and tritons averaged over the $p_{t}$ interval $1.0 < p_{t} < 1.5$ GeV$/c$ in semi-central ($20 - 30$ %) Au+Au collisions at $\sqrt{{s}_{NN}}=2.4$ GeV.
The $y_{cm}$ dependences of $v_{5}$ for protons, deuterons and tritons averaged over the $p_{t}$ interval $1.0 < p_{t} < 1.5$ GeV$/c$ in semi-central ($20 - 30$ %) Au+Au collisions at $\sqrt{{s}_{NN}}=2.4$ GeV.
The $p_{t}$ dependence of $v_{2}$ for protons, deuterons and tritons in the rapidity interval $|y_{cm}| < 0.05$ in semi-central ($20 - 30$ %) $\mathrm{Au}+\mathrm{Au}$ collisions at $\sqrt{{s}_{NN}}=2.4$ GeV.
The $p_{t}$ dependence of $v_{4}$ for protons, deuterons and tritons in the rapidity interval $|y_{cm}| < 0.05$ in semi-central ($20 - 30$ %) $\mathrm{Au}+\mathrm{Au}$ collisions at $\sqrt{{s}_{NN}}=2.4$ GeV.
The $p_{t}$ dependence of $v_{6}$ for protons, deuterons and tritons in the rapidity interval $|y_{cm}| < 0.05$ in semi-central ($20 - 30$ %) $\mathrm{Au}+\mathrm{Au}$ collisions at $\sqrt{{s}_{NN}}=2.4$ GeV.
The $y_{cm}$ dependences of $v_{2}$ for protons, deuterons and tritons averaged over the $p_{t}$ interval $1.0 < p_{t} < 1.5$ GeV$/c$ in semi-central ($20 - 30$ %) Au+Au collisions at $\sqrt{{s}_{NN}}=2.4$ GeV.
The $y_{cm}$ dependences of $v_{4}$ for protons, deuterons and tritons averaged over the $p_{t}$ interval $1.0 < p_{t} < 1.5$ GeV$/c$ in semi-central ($20 - 30$ %) Au+Au collisions at $\sqrt{{s}_{NN}}=2.4$ GeV.
The $y_{cm}$ dependences of $v_{6}$ for protons, deuterons and tritons averaged over the $p_{t}$ interval $1.0 < p_{t} < 1.5$ GeV$/c$ in semi-central ($20 - 30$ %) Au+Au collisions at $\sqrt{{s}_{NN}}=2.4$ GeV.
The ratio $v_{4}/v_{2}^{2}$ for protons in $\mathrm{Au}+\mathrm{Au}$ collisions at $\sqrt{{s}_{NN}}=2.4$ GeV as a function of $p_{t}$ at mid-rapidity ($|y_{cm}| < 0.05$) for three different centralities.
The ratio $v_{4}/v_{2}^{2}$ for deuterons in $\mathrm{Au}+\mathrm{Au}$ collisions at $\sqrt{{s}_{NN}}=2.4$ GeV as a function of $p_{t}$ at mid-rapidity ($|y_{cm}| < 0.05$) for three different centralities.
The ratio $v_{4}/v_{2}^{2}$ for tritons in $\mathrm{Au}+\mathrm{Au}$ collisions at $\sqrt{{s}_{NN}}=2.4$ GeV as a function of $p_{t}$ at mid-rapidity ($|y_{cm}| < 0.05$) for three different centralities.
The ratio $v_{4}/v_{2}^{2}$ for tritons in Au+Au collisions $\sqrt{{s}_{NN}}=2.4$ GeV averaged over the $p_{t}$ interval $1.0 < p_{t} < 1.5$ GeV$/c$ for three different centralities.
The ratio $v_{4}/v_{2}^{2}$ for tritons in Au+Au collisions $\sqrt{{s}_{NN}}=2.4$ GeV averaged over the $p_{t}$ interval $1.0 < p_{t} < 1.5$ GeV$/c$ for three different centralities.
The ratio $v_{4}/v_{2}^{2}$ for tritons in Au+Au collisions $\sqrt{{s}_{NN}}=2.4$ GeV averaged over the $p_{t}$ interval $1.0 < p_{t} < 1.5$ GeV$/c$ for three different centralities.
Elliptic flow (v_2) values for identified particles at midrapidity in Au + Au collisions measured by the STAR experiment in the Beam Energy Scan at the Relativistic Heavy Ion Collider at sqrt{s_{NN}}= 7.7--62.4 GeV are presented for three centrality classes. The centrality dependence and the data at sqrt{s_{NN}}= 14.5 GeV are new. Except at the lowest beam energies we observe a similar relative v_2 baryon-meson splitting for all centrality classes which is in agreement within 15% with the number-of-constituent quark scaling. The larger v_2 for most particles relative to antiparticles, already observed for minimum bias collisions, shows a clear centrality dependence, with the largest difference for the most central collisions. Also, the results are compared with A Multiphase Transport Model and fit with a Blast Wave model.
The difference in $v_{2}$ between particles (X) and their corresponding antiparticles $\bar{X}$ (see legend) as a function of $\sqrt{s_{NN}}$ for 10%-40% central Au + Au collisions. The systematic errors are shown by the hooked error bars. The dashed lines in the plot are fits with a power-law function.
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The difference in $v_{2}$ between protons and antiprotons as a function of $\sqrt{s_{NN}}$ for 0%-10%, 10%-40% and 40%-80% central Au + Au collisions. The systematic errors are shown by the hooked error bars. The dashed lines in the plot are fits with a power-law function.
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The relative difference. The systematic errors are shown by the hooked error bars. The dashed lines in the plot are fits with a power-law function.
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The $v_{2}$ difference between protons and antiprotons (and between $\pi^{+}$ and $pi^{-}$) for 10%-40% centrality Au+Au collisions at 7.7, 11.5, 14.5, and 19.6 GeV. The $v_{2}{BBC} results were slightly shifted horizontally.
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We present high precision measurements of elliptic flow near midrapidity ($|y|<1.0$) for multi-strange hadrons and $\phi$ meson as a function of centrality and transverse momentum in Au+Au collisions at center of mass energy $\sqrt{s_{NN}}=$ 200 GeV. We observe that the transverse momentum dependence of $\phi$ and $\Omega$ $v_{2}$ is similar to that of $\pi$ and $p$, respectively, which may indicate that the heavier strange quark flows as strongly as the lighter up and down quarks. This observation constitutes a clear piece of evidence for the development of partonic collectivity in heavy-ion collisions at the top RHIC energy. Number of constituent quark scaling is found to hold within statistical uncertainty for both 0-30$\%$ and 30-80$\%$ collision centrality. There is an indication of the breakdown of previously observed mass ordering between $\phi$ and proton $v_{2}$ at low transverse momentum in the 0-30$\%$ centrality range, possibly indicating late hadronic interactions affecting the proton $v_{2}$.
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