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Measurement of Spin-Density Matrix Elements in $\Delta^{++}(1232)$ photoproduction

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arxiv 2406.12829 v2 pith:6OQ5CH46 submitted 2024-06-18 nucl-ex

F. Afzal , C. S. Akondi , M. Albrecht , M. Amaryan , S. Arrigo , V. Arroyave , A. Asaturyan , A. Austregesilo
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Z. Baldwin F. Barbosa J. Barlow E. Barriga R. Barsotti D. Barton V. Baturin V. V. Berdnikov T. Black W. Boeglin M. Boer W. J. Briscoe T. Britton S. Cao E. Chudakov G. Chung P. L. Cole O. Cortes V. Crede M. M. Dalton D. Darulis A. Deur S. Dobbs A. Dolgolenko M. Dugger R. Dzhygadlo D. Ebersole M. Edo H. Egiyan T. Erbora P. Eugenio A. Fabrizi C. Fanelli S. Fang J. Fitches A. M. Foda S. Furletov L. Gan H. Gao A. Gardner A. Gasparian D. I. Glazier C. Gleason V. S. Goryachev B. Grube J. Guo L. Guo J. Hernandez K. Hernandez N. D. Hoffman D. Hornidge G. Hou P. Hurck A. Hurley W. Imoehl D. G. Ireland M. M. Ito I. Jaegle N. S. Jarvis T. Jeske M. Jing R. T. Jones V. Kakoyan G. Kalicy V. Khachatryan C. Kourkoumelis A. LaDuke I. Larin D. Lawrence D. I. Lersch H. Li B. Liu K. Livingston G. J. Lolos L. Lorenti V. Lyubovitskij R. Ma D. Mack A. Mahmood H. Marukyan V. Matveev M. McCaughan M. McCracken C. A. Meyer R. Miskimen R. E. Mitchell K. Mizutani V. Neelamana L. Ng E. Nissen S. Orešić A. I. Ostrovidov Z. Papandreou C. Paudel R. Pedroni L. Pentchev K. J. Peters E. Prather S. Rakshit J. Reinhold A. Remington B. G. Ritchie J. Ritman G. Rodriguez D. Romanov K. Saldana C. Salgado S. Schadmand A. M. Schertz K. Scheuer A. Schick A. Schmidt R. A. Schumacher J. Schwiening N. Septian P. Sharp X. Shen M. R. Shepherd J. Sikes A. Smith E. S. Smith D. I. Sober A. Somov S. Somov J. R. Stevens I. I. Strakovsky B. Sumner K. Suresh V. V. Tarasov S. Taylor A. Teymurazyan A. Thiel T. Viducic T. Whitlatch N. Wickramaarachchi Y. Wunderlich B. Yu J. Zarling Z. Zhang X. Zhou B. Zihlmann (The GlueX Collaboration)
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keywords deltameasurementsdmeselementsmatrixmomentumphotoproductionregion
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abstract

We measure the spin-density matrix elements (SDMEs) of the $\Delta^{++}(1232)$ in the photoproduction reaction $\gamma p \to \pi^-\Delta^{++}(1232)$ with the GlueX experiment in Hall D at Jefferson Lab. The measurement uses a linearly--polarized photon beam with energies from $8.2$ to $8.8$~GeV and the statistical precision of the SDMEs exceeds the previous measurement by three orders of magnitude for the momentum transfer squared region below $1.4$ GeV$^2$. The data are sensitive to the previously undetermined relative sign between couplings in existing Regge-exchange models. Linear combinations of the extracted SDMEs allow for a decomposition into natural and unnatural--exchange amplitudes. We find that the unnatural exchange plays an important role in the low momentum transfer region.

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    A new event-based likelihood analysis of gamma p to pi+ pi- p CLAS data gives cross sections, spin-density matrix elements, and N rho(770) branching fractions for many N* and Delta* resonances.

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