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Transverse Extension of Partons in the Proton probed by Deeply Virtual Compton Scattering

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arxiv 1802.02739 v2 pith:N525SO7X submitted 2018-02-08 hep-ex nucl-ex

R. Akhunzyanov , M.G. Alexeev , G.D. Alexeev , A. Amoroso , V. Andrieux , N.V. Anfimov , V. Anosov , A. Antoshkin
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K. Augsten W. Augustyniak A. Austregesilo C.D.R. Azevedo B. Badelek F. Balestra M. Ball J. Barth R. Beck Y. Bedfer J. Bernhard K. Bicker E. R. Bielert R. Birsa M. Bodlak P. Bordalo F. Bradamante A. Bressan M. Buechele E. Burtin V.E. Burtsev W.-C. Chang C. Chatterjee M. Chiosso I. Choi A.G. Chumakov S.-U. Chung A. Cicuttin M.L. Crespo S. Dalla Torre S.S. Dasgupta S. Dasgupta O.Yu. Denisov L. Dhara S.V. Donskov N. Doshita Ch. Dreisbach W. Duennweber R.R. Dusaev M. Dziewiecki A. Efremov P.D. Eversheim M. Faessler A. Ferrero M. Finger M. Finger jr. H. Fischer C. Franco N. du Fresne von Hohenesche J.M. Friedrich V. Frolov E. Fuchey F. Gautheron O.P. Gavrichtchouk S. Gerassimov J. Giarra I. Gnesi M. Gorzellik A. Grasso A. Gridin M. Grosse Perdekamp B. Grube T. Grussenmeyer A. Guskov D. Hahne G. Hamar D. von Harrach R. Heitz F. Herrmann N. Horikawa N. d'Hose C.-Y. Hsieh S. Huber S. Ishimoto A. Ivanov Yu. Ivanshin T. Iwata V. Jary R. Joosten P. Joerg K. Juraskova E. Kabuss A. Kerbizi B. Ketzer G.V. Khaustov Yu.A. Khokhlov Yu. Kisselev F. Klein J.H. Koivuniemi V.N. Kolosov K. Kondo I. Konorov V.F. Konstantinov A.M. Kotzinian O.M. Kouznetsov Z. Kral M. Kraemer F. Krinner Z.V. Kroumchtein Y. Kulinich F. Kunne K. Kurek R.P. Kurjata I.I. Kuznetsov A. Kveton A.A. Lednev E.A. Levchenko M. Levillain S. Levorato Y.-S. Lian J. Lichtenstadt R. Longo V.E. Lyubovitskij A. Maggiora A. Magnon N. Makins N. Makke G.K. Mallot S.A. Mamon C. Marchand B. Marianski A. Martin J. Marzec J. Matousek H. Matsuda T. Matsuda G.V. Meshcheryakov M. Meyer W. Meyer Yu.V. Mikhailov M. Mikhasenko E. Mitrofanov N. Mitrofanov Y. Miyachi A. Moretti A. Nagaytsev F. Nerling D. Neyret J. Novy W.-D. Nowak G. Nukazuka A.S. Nunes A.G. Olshevsky I. Orlov M. Ostrick D. Panzieri B. Parsamyan S. Paul J.-C. Peng F. Pereira G. Pesaro M. Pesek M. Peskova D.V. Peshekhonov N. Pierre S. Platchkov J. Pochodzalla V.A. Polyakov J. Pretz M. Quaresma C. Quintans S. Ramos C. Regali G. Reicherz C. Riedl N. S. Rogacheva D.I. Ryabchikov A. Rybnikov A. Rychter R. Salac V.D. Samoylenko A. Sandacz C. Santos S. Sarkar I.A. Savin T. Sawada G. Sbrizzai P. Schiavon H. Schmieden K. Schoennig E. Seder A. Selyunin L. Silva L. Sinha S. Sirtl M. Slunecka J. Smolik A. Srnka D. Steffen M. Stolarski O. Subrt M. Sulc H. Suzuki A. Szabelski T. Szameitat P. Sznajder M. Tasevsky S. Tessaro F. Tessarotto A. Thiel J. Tomsa F. Tosello V. Tskhay S. Uhl B.I. Vasilishin A. Vauth B. M. Veit J. Veloso A.Vidon M. Virius S. Wallner M. Wilfert J. ter Wolbeek K. Zaremba P. Zavada M. Zavertyaev E. Zemlyanichkina N. Zhuravlev M. Ziembicki
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classification hep-exnucl-ex
keywords textaverageprotonlangleranglecomptondeeplydependence
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abstract

We report on the first measurement of exclusive single-photon muoproduction on the proton by COMPASS using 160 GeV/$c$ polarized $\mu^+$ and $\mu^-$ beams of the CERN SPS impinging on a liquid hydrogen target. We determine the dependence of the average of the measured $\mu^+$ and $\mu^-$ cross sections for deeply virtual Compton scattering on the squared four-momentum transfer $t$ from the initial to the final final proton. The slope $B$ of the $t$-dependence is fitted with a single exponential function, which yields $B=(4.3 \ \pm \ 0.6_{\text{stat}}\_{- \ 0.3}^{+ \ 0.1}\big\rvert_{\text{sys}}) (\text{GeV}/c)^{-2}$. This result can be converted into an average transverse extension of partons in the proton, $\sqrt{\langle r_{\perp}^2 \rangle} = (0.58 \ \pm \ 0.04_{\text{stat}}\_{- \ 0.02}^{+ \ 0.01}\big\rvert_{\text{sys}})\text{fm}$. For this measurement, the average virtuality of the photon mediating the interaction is $\langle Q^2 \rangle = 1.8\,(\text{GeV/}c)^2$ and the average value of the Bjorken variable is $\langle x_{\text{Bj}} \rangle = 0.056$.

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