Azimuthal asymmetries of charged hadrons produced in high-energy muon scattering off longitudinally polarised deuterons

C. Adolph; M. Aghasyan; R. Akhunzyanov; M. G. Alexeev; G. D. Alexeev; A. Amoroso; V. Andrieux; N. V. Anfimov; V. Anosov; K. Augsten; W. Augustyniak; A. Austregesilo; C. D. R. Azevedo; B. Badełek; 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; C. Braun; A. Bressan; M. Büchele; W.-C. Chang; C. Chatterjee; M. Chiosso; I. Choi; S.-U. Chung; A. Cicuttin; M. L. Crespo; Q. Curiel; S. Dalla Torre; S. S. Dasgupta; S. Dasgupta; O. Yu. Denisov; L. Dhara; S. V. Donskov; N. Doshita; Ch. Dreisbach; V. Duic; W. Dünnweber; M. Dziewiecki; A. Efremov; P. D. Eversheim; W. Eyrich; M. Faessler; A. Ferrero; M. Finger; M. Finger; H. Fischer; C. Franco; N. du Fresne von Vijayan Hohenesche; J. M. Friedrich; V. Frolov; E. Fuchey; F. Gautheron; O. P. Gavrichtchouk; S. Gerassimov; J. Giarra; F. Giordano; I. Gnesi; M. Gorzellik; S. Grabmüller; A. Grasso; M. Grosse Perdekamp; B. Grube; T. Grussenmeyer; A. Guskov; F. Haas; D. Hahne; G. Hamar; D. von Harrach; F. H. Heinsius; 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. Jörg; E. Kabuß; B. Ketzer; G. V. Khaustov; Yu. A. Khokhlov; Yu. Kisselev; F. Klein; K. Klimaszewski; J. H. Koivuniemi; V. N. Kolosov; K. Kondo; K. Königsmann; I. Konorov; V. F. Konstantinov; A. M. Kotzinian; O. M. Kouznetsov; M. Krämer; P. Kremser; F. Krinner; Z. V. Kroumchtein; Y. Kulinich; F. Kunne; K. Kurek; R. P. Kurjata; A. A. Lednev; A. Lehmann; M. Levillain; S. Levorato; Y.-S. Lian; J. Lichtenstadt; R. Longo; A. Maggiora; A. Magnon; N. Makins; N. Makke; G. K. Mallot; B. Marianski; A. Martin; J. Marzec; J. Matoušek; H. Matsuda; T. Matsuda; G. V. Meshcheryakov; M. Meyer; W. Meyer; Yu. V. Mikhailov; M. Mikhasenko; E. Mitrofanov; N. Mitrofanov; Y. Miyachi; A. Nagaytsev; F. Nerling; D. Neyret; J. Nový; 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; M. Pešek; 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; M. Roskot; N. S. Rossiyskaya; 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; K. Schmidt; H. Schmieden; K. Schönning; 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; S. Takekawa; M. Tasevsky; S. Tessaro; F. Tessarotto; F. Thibaud; A. Thiel; F. Tosello; V. Tskhay; S. Uhl; J. Veloso; M. Virius; J. Vondra; S. Wallner; T. Weisrock; M. Wilfert; J. ter Wolbeek; K. Zaremba; P. Zavada; M. Zavertyaev; E. Zemlyanichkina; N. Zhuravlev; M. Ziembicki; A. Zink

doi:10.1140/epjc/s10052-018-6379-7

2023 Impact factor 4.2

Particles and Fields

Open Access

This article has an erratum: [https://doi.org/10.1140/epjc/s10052-020-7762-8]

Eur. Phys. J. C (2018) 78: 952
https://doi.org/10.1140/epjc/s10052-018-6379-7

Letter

Azimuthal asymmetries of charged hadrons produced in high-energy muon scattering off longitudinally polarised deuterons

C. Adolph⁹, M. Aghasyan²⁶, R. Akhunzyanov⁸, M. G. Alexeev²⁸, G. D. Alexeev⁸, A. Amoroso²⁸^,29, V. Andrieux²²^,30, N. V. Anfimov⁸, V. Anosov⁸, K. Augsten⁸^,20, W. Augustyniak³¹, A. Austregesilo¹⁷, C. D. R. Azevedo², B. Badełek³², F. Balestra²⁸^,29, M. Ball⁴, J. Barth⁵, R. Beck⁴, Y. Bedfer²², J. Bernhard¹¹^,14, K. Bicker¹¹^,17, E. R. Bielert¹¹, R. Birsa²⁶, M. Bodlak¹⁹, P. Bordalo¹³, F. Bradamante²⁵^,26, C. Braun⁹, A. Bressan²⁵^,26, M. Büchele¹⁰, W.-C. Chang²³, C. Chatterjee⁷, M. Chiosso²⁸^,29, I. Choi³⁰, S.-U. Chung¹⁷, A. Cicuttin²⁶^,27, M. L. Crespo²⁶^,27, Q. Curiel²², S. Dalla Torre²⁶, S. S. Dasgupta⁷, S. Dasgupta²⁵^,26, O. Yu. Denisov²⁹, L. Dhara⁷, S. V. Donskov²¹, N. Doshita³⁴, Ch. Dreisbach¹⁷, V. Duic²⁵, W. Dünnweber¹⁰, M. Dziewiecki³³, A. Efremov⁸, P. D. Eversheim⁴, W. Eyrich⁹, M. Faessler¹⁰, A. Ferrero²², M. Finger¹⁹, M. Finger¹⁹, H. Fischer¹⁰, C. Franco¹³, N. du Fresne von Vijayan Hohenesche¹⁴, J. M. Friedrich¹⁷, V. Frolov⁸^,11, E. Fuchey²², F. Gautheron³, O. P. Gavrichtchouk⁸, S. Gerassimov¹⁶^,17, J. Giarra¹⁴, F. Giordano³⁰, I. Gnesi²⁸^,29, M. Gorzellik¹⁰, S. Grabmüller¹⁷, A. Grasso²⁸^,29, M. Grosse Perdekamp³⁰, B. Grube¹⁷, T. Grussenmeyer¹⁰, A. Guskov⁸, F. Haas¹⁷, D. Hahne⁵, G. Hamar²⁵^,26, D. von Harrach¹⁴, F. H. Heinsius¹⁰, R. Heitz³⁰, F. Herrmann¹⁰, N. Horikawa¹⁸, N. d’Hose²², C.-Y. Hsieh²³, S. Huber¹⁷, S. Ishimoto³⁴, A. Ivanov²⁸^,29, Yu. Ivanshin⁸, T. Iwata³⁴, V. Jary²⁰, R. Joosten⁴, P. Jörg¹⁰, E. Kabuß¹⁴, B. Ketzer⁴, G. V. Khaustov²¹, Yu. A. Khokhlov²¹, Yu. Kisselev⁸, F. Klein⁵, K. Klimaszewski³¹, J. H. Koivuniemi³, V. N. Kolosov²¹, K. Kondo³⁴, K. Königsmann¹⁰, I. Konorov¹⁶^,17, V. F. Konstantinov²¹, A. M. Kotzinian²⁸^,29, O. M. Kouznetsov⁸, M. Krämer¹⁷, P. Kremser¹⁰, F. Krinner¹⁷, Z. V. Kroumchtein⁸, Y. Kulinich³⁰, F. Kunne²², K. Kurek³¹, R. P. Kurjata³³, A. A. Lednev²¹, A. Lehmann⁹, M. Levillain²², S. Levorato²⁶, Y.-S. Lian²³, J. Lichtenstadt²⁴, R. Longo²⁸^,29, A. Maggiora²⁹, A. Magnon³⁰, N. Makins³⁰, N. Makke²⁵^,26, G. K. Mallot¹¹^*, B. Marianski³¹, A. Martin²⁵^,26, J. Marzec³³, J. Matoušek¹⁹^,26, H. Matsuda³⁴, T. Matsuda¹⁵, G. V. Meshcheryakov⁸, M. Meyer²²^,30, W. Meyer³, Yu. V. Mikhailov²¹, M. Mikhasenko⁴, E. Mitrofanov⁸, N. Mitrofanov⁸, Y. Miyachi³⁴, A. Nagaytsev⁸, F. Nerling¹⁴, D. Neyret²², J. Nový¹¹^,20, W.-D. Nowak¹⁴, G. Nukazuka³⁴, A. S. Nunes¹³, A. G. Olshevsky⁸, I. Orlov⁸, M. Ostrick¹⁴, D. Panzieri¹^,29, B. Parsamyan²⁸^,29, S. Paul¹⁷, J.-C. Peng³⁰, F. Pereira², M. Pešek¹⁹, D. V. Peshekhonov⁸, N. Pierre¹⁴^,22, S. Platchkov²², J. Pochodzalla¹⁴, V. A. Polyakov²¹, J. Pretz⁵, M. Quaresma¹³, C. Quintans¹³, S. Ramos¹³, C. Regali¹⁰, G. Reicherz³, C. Riedl³⁰, M. Roskot¹⁹, N. S. Rossiyskaya⁸, D. I. Ryabchikov²¹, A. Rybnikov⁸, A. Rychter³³, R. Salac²⁰, V. D. Samoylenko²¹, A. Sandacz³¹, C. Santos²⁶, S. Sarkar⁷, I. A. Savin⁸, T. Sawada²³, G. Sbrizzai²⁵^,26, P. Schiavon²⁵^,26, K. Schmidt¹⁰, H. Schmieden⁵, K. Schönning¹¹, E. Seder²², A. Selyunin⁸, L. Silva¹³, L. Sinha⁷, S. Sirtl¹⁰, M. Slunecka⁸, J. Smolik⁸, A. Srnka⁶, D. Steffen¹¹^,17, M. Stolarski¹³, O. Subrt¹¹^,20, M. Sulc¹², H. Suzuki³⁴, A. Szabelski²⁶^,31, T. Szameitat¹⁰, P. Sznajder³¹, S. Takekawa²⁸^,29, M. Tasevsky⁸, S. Tessaro²⁶, F. Tessarotto²⁶, F. Thibaud²², A. Thiel⁴, F. Tosello²⁹, V. Tskhay¹⁶, S. Uhl¹⁷, J. Veloso², M. Virius²⁰, J. Vondra²⁰, S. Wallner¹⁷, T. Weisrock¹⁴, M. Wilfert¹⁴, J. ter Wolbeek¹⁰, K. Zaremba³³, P. Zavada⁸, M. Zavertyaev¹⁶, E. Zemlyanichkina⁸, N. Zhuravlev⁸, M. Ziembicki³³ and A. Zink⁹

¹ University of Eastern Piedmont, 15100, Alessandria, Italy
² Department of Physics, University of Aveiro, 3810-193, Aveiro, Portugal
³ Institut für Experimentalphysik, Universität Bochum, 44780, Bochum, Germany
⁴ Helmholtz-Institut für Strahlen- und Kernphysik, Universität Bonn, 53115, Bonn, Germany
⁵ Physikalisches Institut, Universität Bonn, 53115, Bonn, Germany
⁶ Institute of Scientific Instruments, AS CR, 61264, Brno, Czech Republic
⁷ Matrivani Institute of Experimental Research and Education, Calcutta, 700 030, India
⁸ Joint Institute for Nuclear Research, 141980, Dubna, Moscow region, Russia
⁹ Physikalisches Institut, Universität Erlangen–Nürnberg, 91054, Erlangen, Germany
¹⁰ Physikalisches Institut, Universität Freiburg, 79104, Freiburg, Germany
¹¹ CERN, 1211, Geneva 23, Switzerland
¹² Technical University in Liberec, 46117, Liberec, Czech Republic
¹³ LIP, 1000-149, Lisbon, Portugal
¹⁴ Institut für Kernphysik, Universität Mainz, 55099, Mainz, Germany
¹⁵ University of Miyazaki, Miyazaki, 889-2192, Japan
¹⁶ Lebedev Physical Institute, 119991, Moscow, Russia
¹⁷ Physik Department, Technische Universität München, 85748, Garching, Germany
¹⁸ Nagoya University, 464, Nagoya, Japan
¹⁹ Faculty of Mathematics and Physics, Charles University in Prague, 18000, Prague, Czech Republic
²⁰ Czech Technical University in Prague, 16636, Prague, Czech Republic
²¹ State Scientific Center Institute for High Energy Physics of National Research Center ‘Kurchatov Institute’, 142281, Protvino, Russia
²² IRFU, CEA, Université Paris-Saclay, 91191, Gif-sur-Yvette, France
²³ Institute of Physics, Academia Sinica, Taipei, 11529, Taiwan
²⁴ School of Physics and Astronomy, Tel Aviv University, 69978, Tel Aviv, Israel
²⁵ Department of Physics, University of Trieste, 34127, Trieste, Italy
²⁶ Trieste Section of INFN, 34127, Trieste, Italy
²⁷ Abdus Salam ICTP, 34151, Trieste, Italy
²⁸ Department of Physics, University of Turin, 10125, Turin, Italy
²⁹ Torino Section of INFN, 10125, Turin, Italy
³⁰ Department of Physics, University of Illinois at Urbana-Champaign, Urbana, IL, 61801-3080, USA
³¹ National Centre for Nuclear Research, 00-681, Warsaw, Poland
³² Faculty of Physics, University of Warsaw, 02-093, Warsaw, Poland
³³ Institute of Radioelectronics, Warsaw University of Technology, 00-665, Warsaw, Poland
³⁴ Yamagata University, Yamagata, 992-8510, Japan

^* e-mail: Gerhard.Mallot@cern.ch

Received: 9 November 2016
Accepted: 29 October 2018
Published online: 19 November 2018

Abstract

Single hadron azimuthal asymmetries of positive and negative hadrons produced in muon semi-inclusive deep inelastic scattering off longitudinally polarised deuterons are determined using the 2006 COMPASS data and also combined all deuteron COMPASS data. For each hadron charge, the dependence of the azimuthal asymmetry on the hadron azimuthal angle $\phi$ is obtained by means of a five-parameter fitting function that besides a $\phi$ -independent term includes four modulations predicted by theory: $\sin \phi$ , $\sin 2 \phi$ , $\sin 3\phi$ and $\cos \phi$ . The amplitudes of the five terms have been extracted, first, for the hadrons in the whole available kinematic region. In further fits, performed for hadrons from a restricted kinematic region, the $\phi$ -dependence is determined as a function of one of three variables (Bjorken-x, fractional energy of virtual photon taken by the outgoing hadron and hadron transverse momentum), while disregarding the others. Except the $\phi$ -independent term, all the modulation amplitudes are very small, and no clear kinematic dependence could be observed within experimental uncertainties.