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Phys. J. A"],"abstract":"Abstract<\/jats:title>High-precision measurements of flow coefficients $$v_{n}$$<\/jats:tex-math>\n \n v<\/mml:mi>\n n<\/mml:mi>\n <\/mml:msub>\n <\/mml:math><\/jats:alternatives><\/jats:inline-formula> ($$n = 1 - 4$$<\/jats:tex-math>\n \n n<\/mml:mi>\n =<\/mml:mo>\n 1<\/mml:mn>\n -<\/mml:mo>\n 4<\/mml:mn>\n <\/mml:mrow>\n <\/mml:math><\/jats:alternatives><\/jats:inline-formula>) for protons, deuterons and tritons relative to the first-order spectator plane have been performed in Au+Au collisions at $$\\sqrt{s_{_{{\\text {NN}}}}}= 2.4$$<\/jats:tex-math>\n \n \n \n s<\/mml:mi>\n \n \n NN<\/mml:mtext>\n <\/mml:msub>\n <\/mml:msub>\n <\/mml:msqrt>\n =<\/mml:mo>\n 2.4<\/mml:mn>\n <\/mml:mrow>\n <\/mml:math><\/jats:alternatives><\/jats:inline-formula>\u00a0GeV with the High-Acceptance Di-Electron Spectrometer (HADES) at the SIS18\/GSI. Flow coefficients are studied as a function of transverse momentum $$p_{{\\text {t}}}$$<\/jats:tex-math>\n \n p<\/mml:mi>\n t<\/mml:mtext>\n <\/mml:msub>\n <\/mml:math><\/jats:alternatives><\/jats:inline-formula> and rapidity $$y_{{\\text {cm}}}$$<\/jats:tex-math>\n \n y<\/mml:mi>\n cm<\/mml:mtext>\n <\/mml:msub>\n <\/mml:math><\/jats:alternatives><\/jats:inline-formula> over a large region of phase-space and for several classes of collision centrality. A clear mass hierarchy, as expected by relativistic hydrodynamics, is found for the slope of $$v_{1}$$<\/jats:tex-math>\n \n v<\/mml:mi>\n 1<\/mml:mn>\n <\/mml:msub>\n <\/mml:math><\/jats:alternatives><\/jats:inline-formula>, $$d v_{1}\/d y^{\\prime }|_{y^{\\prime } = 0}$$<\/jats:tex-math>\n \n d<\/mml:mi>\n \n v<\/mml:mi>\n 1<\/mml:mn>\n <\/mml:msub>\n \/<\/mml:mo>\n d<\/mml:mi>\n \n y<\/mml:mi>\n \u2032<\/mml:mo>\n <\/mml:msup>\n \n \n |<\/mml:mo>\n <\/mml:mrow>\n \n \n y<\/mml:mi>\n \u2032<\/mml:mo>\n <\/mml:msup>\n =<\/mml:mo>\n 0<\/mml:mn>\n <\/mml:mrow>\n <\/mml:msub>\n <\/mml:mrow>\n <\/mml:math><\/jats:alternatives><\/jats:inline-formula> where $$y^{\\prime }$$<\/jats:tex-math>\n \n y<\/mml:mi>\n \u2032<\/mml:mo>\n <\/mml:msup>\n <\/mml:math><\/jats:alternatives><\/jats:inline-formula> is the scaled rapidity, and for $$v_{2}$$<\/jats:tex-math>\n \n v<\/mml:mi>\n 2<\/mml:mn>\n <\/mml:msub>\n <\/mml:math><\/jats:alternatives><\/jats:inline-formula> at mid-rapidity. Scaling with the number of nucleons is observed for the $$p_{{\\text {t}}}$$<\/jats:tex-math>\n \n p<\/mml:mi>\n t<\/mml:mtext>\n <\/mml:msub>\n <\/mml:math><\/jats:alternatives><\/jats:inline-formula>\u00a0dependence of $$v_{2}$$<\/jats:tex-math>\n \n v<\/mml:mi>\n 2<\/mml:mn>\n <\/mml:msub>\n <\/mml:math><\/jats:alternatives><\/jats:inline-formula> and $$v_{4}$$<\/jats:tex-math>\n \n v<\/mml:mi>\n 4<\/mml:mn>\n <\/mml:msub>\n <\/mml:math><\/jats:alternatives><\/jats:inline-formula> at mid-rapidity, which is indicative for nuclear coalescence as the main process responsible for light nuclei formation. $$v_{2}$$<\/jats:tex-math>\n \n v<\/mml:mi>\n 2<\/mml:mn>\n <\/mml:msub>\n <\/mml:math><\/jats:alternatives><\/jats:inline-formula> is found to scale with the initial eccentricity $$\\langle \\epsilon _{2} \\rangle $$<\/jats:tex-math>\n \n \u27e8<\/mml:mo>\n \n \u03f5<\/mml:mi>\n 2<\/mml:mn>\n <\/mml:msub>\n \u27e9<\/mml:mo>\n <\/mml:mrow>\n <\/mml:math><\/jats:alternatives><\/jats:inline-formula>, while $$v_{4}$$<\/jats:tex-math>\n \n v<\/mml:mi>\n 4<\/mml:mn>\n <\/mml:msub>\n <\/mml:math><\/jats:alternatives><\/jats:inline-formula> scales with $$\\langle \\epsilon _{2} \\rangle ^{2}$$<\/jats:tex-math>\n \n \n \u27e8<\/mml:mo>\n \n \u03f5<\/mml:mi>\n 2<\/mml:mn>\n <\/mml:msub>\n \u27e9<\/mml:mo>\n <\/mml:mrow>\n 2<\/mml:mn>\n <\/mml:msup>\n <\/mml:math><\/jats:alternatives><\/jats:inline-formula> and $$\\langle \\epsilon _{4} \\rangle $$<\/jats:tex-math>\n \n \u27e8<\/mml:mo>\n \n \u03f5<\/mml:mi>\n 4<\/mml:mn>\n <\/mml:msub>\n \u27e9<\/mml:mo>\n <\/mml:mrow>\n <\/mml:math><\/jats:alternatives><\/jats:inline-formula>. The multi-differential high-precision data on $$v_{1}$$<\/jats:tex-math>\n \n v<\/mml:mi>\n 1<\/mml:mn>\n <\/mml:msub>\n <\/mml:math><\/jats:alternatives><\/jats:inline-formula>, $$v_{2}$$<\/jats:tex-math>\n \n v<\/mml:mi>\n 2<\/mml:mn>\n <\/mml:msub>\n <\/mml:math><\/jats:alternatives><\/jats:inline-formula>, $$v_{3}$$<\/jats:tex-math>\n \n v<\/mml:mi>\n 3<\/mml:mn>\n <\/mml:msub>\n <\/mml:math><\/jats:alternatives><\/jats:inline-formula>, and $$v_{4}$$<\/jats:tex-math>\n \n v<\/mml:mi>\n 4<\/mml:mn>\n <\/mml:msub>\n <\/mml:math><\/jats:alternatives><\/jats:inline-formula> provides important constraints on the equation-of-state of compressed baryonic matter.<\/jats:p>","DOI":"10.1140\/epja\/s10050-023-00936-6","type":"journal-article","created":{"date-parts":[[2023,4,18]],"date-time":"2023-04-18T10:03:08Z","timestamp":1681812188000},"update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":30,"title":["Proton, deuteron and triton flow measurements in Au+Au collisions at $$\\sqrt{s_{_{{\\text {NN}}}}}= 2.4$$\u00a0GeV"],"prefix":"10.1140","volume":"59","author":[{"given":"J.","family":"Adamczewski-Musch","sequence":"first","affiliation":[]},{"given":"O.","family":"Arnold","sequence":"additional","affiliation":[]},{"given":"C.","family":"Behnke","sequence":"additional","affiliation":[]},{"given":"A.","family":"Belounnas","sequence":"additional","affiliation":[]},{"given":"J. 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