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C"],"published-print":{"date-parts":[[2021,2]]},"abstract":"Abstract<\/jats:title>We report on a measurement of Spin Density Matrix Elements (SDMEs) in hard exclusive $$\\omega $$<\/jats:tex-math>\n \u03c9<\/mml:mi>\n <\/mml:math><\/jats:alternatives><\/jats:inline-formula> meson muoproduction on the proton at COMPASS using 160\u00a0GeV\/c<\/jats:italic> polarised $$ \\mu ^{+}$$<\/jats:tex-math>\n \n \u03bc<\/mml:mi>\n +<\/mml:mo>\n <\/mml:msup>\n <\/mml:math><\/jats:alternatives><\/jats:inline-formula> and $$ \\mu ^{-}$$<\/jats:tex-math>\n \n \u03bc<\/mml:mi>\n -<\/mml:mo>\n <\/mml:msup>\n <\/mml:math><\/jats:alternatives><\/jats:inline-formula> beams impinging on a liquid hydrogen target. The measurement covers the range 5.0\u00a0GeV\/$$c^2$$<\/jats:tex-math>\n \n c<\/mml:mi>\n 2<\/mml:mn>\n <\/mml:msup>\n <\/mml:math><\/jats:alternatives><\/jats:inline-formula>$$< W<$$<\/jats:tex-math>\n \n <<\/mml:mo>\n W<\/mml:mi>\n <<\/mml:mo>\n <\/mml:mrow>\n <\/mml:math><\/jats:alternatives><\/jats:inline-formula> 17.0\u00a0GeV\/$$c^2$$<\/jats:tex-math>\n \n c<\/mml:mi>\n 2<\/mml:mn>\n <\/mml:msup>\n <\/mml:math><\/jats:alternatives><\/jats:inline-formula>, with the average kinematics $$\\langle Q^{2} \\rangle =$$<\/jats:tex-math>\n \n \u27e8<\/mml:mo>\n \n Q<\/mml:mi>\n 2<\/mml:mn>\n <\/mml:msup>\n \u27e9<\/mml:mo>\n =<\/mml:mo>\n <\/mml:mrow>\n <\/mml:math><\/jats:alternatives><\/jats:inline-formula> 2.1\u00a0(GeV\/c<\/jats:italic>)$$^2$$<\/jats:tex-math>\n \n \n 2<\/mml:mn>\n <\/mml:msup>\n <\/mml:math><\/jats:alternatives><\/jats:inline-formula>, $$\\langle W \\rangle = 7.6$$<\/jats:tex-math>\n \n \u27e8<\/mml:mo>\n W<\/mml:mi>\n \u27e9<\/mml:mo>\n =<\/mml:mo>\n 7.6<\/mml:mn>\n <\/mml:mrow>\n <\/mml:math><\/jats:alternatives><\/jats:inline-formula>\u00a0GeV\/$$c^2$$<\/jats:tex-math>\n \n c<\/mml:mi>\n 2<\/mml:mn>\n <\/mml:msup>\n <\/mml:math><\/jats:alternatives><\/jats:inline-formula>, and $$\\langle p^{2}_{\\mathrm{T}} \\rangle = 0.16$$<\/jats:tex-math>\n \n \u27e8<\/mml:mo>\n \n p<\/mml:mi>\n T<\/mml:mi>\n 2<\/mml:mn>\n <\/mml:msubsup>\n \u27e9<\/mml:mo>\n =<\/mml:mo>\n 0.16<\/mml:mn>\n <\/mml:mrow>\n <\/mml:math><\/jats:alternatives><\/jats:inline-formula>\u00a0(GeV\/c<\/jats:italic>)$$^2$$<\/jats:tex-math>\n \n \n 2<\/mml:mn>\n <\/mml:msup>\n <\/mml:math><\/jats:alternatives><\/jats:inline-formula>. Here, $$Q^2$$<\/jats:tex-math>\n \n Q<\/mml:mi>\n 2<\/mml:mn>\n <\/mml:msup>\n <\/mml:math><\/jats:alternatives><\/jats:inline-formula> denotes the virtuality of the exchanged photon, W<\/jats:italic> the mass of the final hadronic system and $$p_T$$<\/jats:tex-math>\n \n p<\/mml:mi>\n T<\/mml:mi>\n <\/mml:msub>\n <\/mml:math><\/jats:alternatives><\/jats:inline-formula> the transverse momentum of the $$\\omega $$<\/jats:tex-math>\n \u03c9<\/mml:mi>\n <\/mml:math><\/jats:alternatives><\/jats:inline-formula> meson with respect to the virtual-photon direction. The measured non-zero SDMEs for the transitions of transversely polarised virtual photons to longitudinally polarised vector mesons ($$\\gamma ^*_T \\rightarrow V_L$$<\/jats:tex-math>\n \n \n \u03b3<\/mml:mi>\n T<\/mml:mi>\n \u2217<\/mml:mo>\n <\/mml:msubsup>\n \u2192<\/mml:mo>\n \n V<\/mml:mi>\n L<\/mml:mi>\n <\/mml:msub>\n <\/mml:mrow>\n <\/mml:math><\/jats:alternatives><\/jats:inline-formula>) indicate a violation of s<\/jats:italic>-channel helicity conservation. Additionally, we observe a sizeable contribution of unnatural-parity-exchange (UPE) transitions that decreases with increasing W<\/jats:italic>. The results provide important input for modelling Generalised Parton Distributions (GPDs). In particular, they may allow to evaluate in a model-dependent way the contribution of UPE transitions and assess the role of parton helicity-flip GPDs in exclusive $$\\omega $$<\/jats:tex-math>\n \u03c9<\/mml:mi>\n <\/mml:math><\/jats:alternatives><\/jats:inline-formula> production.<\/jats:p>","DOI":"10.1140\/epjc\/s10052-020-08740-y","type":"journal-article","created":{"date-parts":[[2021,2,5]],"date-time":"2021-02-05T13:28:19Z","timestamp":1612531699000},"update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":9,"title":["Spin density matrix elements in exclusive $$\\omega $$ meson muoproduction"],"prefix":"10.1140","volume":"81","author":[{"name":"COMPASS Collaboration","sequence":"first","affiliation":[]},{"given":"G. D.","family":"Alexeev","sequence":"first","affiliation":[]},{"given":"M. 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