Precise determination of the spin structure function g₁ of the proton, deuteron, and neutron

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A. Airapetian,¹⁶ N. Akopov,²⁷ Z. Akopov,²⁷ A. Andrus,¹⁵ E. C. Aschenauer,⁷ W. Augustyniak,²⁶ R. Avakian,²⁷ A. Avetissian,²⁷ E. Avetissian,¹¹ S. Belostotski,¹⁹ N. Bianchi,¹¹ H. P. Blok,^18,25 H. Böttcher,⁷ A. Borissov,¹⁴ A. Borysenko,¹¹ A. Brüll,²⁸ V. Bryzgalov,²⁰ M. Capiluppi,¹⁰ G. P. Capitani,¹¹ G. Ciullo,¹⁰ M. Contalbrigo,¹⁰ P. F. Dalpiaz,¹⁰ W. Deconinck,¹⁶ R. De Leo,² M. Demey,¹⁸ L. De Nardo,^6,23 E. De Sanctis,¹¹ E. Devitsin,¹⁷ M. Diefenthaler,⁹ P. Di Nezza,¹¹ J. Dreschler,¹⁸ M. Düren,¹³ M. Ehrenfried,⁹ A. Elalaoui-Moulay,¹ G. Elbakian,²⁷ F. Ellinghaus,⁵ U. Elschenbroich,¹² R. Fabbri,¹⁸ A. Fantoni,¹¹ L. Felawka,²³ S. Frullani,²² A. Funel,¹¹ D. Gabbert,⁷ Y. Gärber,⁹ G. Gapienko,²⁰ V. Gapienko,²⁰ F. Garibaldi,²² K. Garrow,²³ G. Gavrilov,^6,19,23 V. Gharibyan,²⁷ F. Giordano,¹⁰ O. Grebeniouk,¹⁹ I. M. Gregor,⁷ H. Guler,⁷ A. Gute,⁹ C. Hadjidakis,¹¹ M. Hartig,¹³ D. Hasch,¹¹ T. Hasegawa,²⁴ W. H. A. Hesselink,^18,25 A. Hillenbrand,⁹ M. Hoek,¹³ Y. Holler,⁶ B. Hommez,¹² I. Hristova,⁷ G. Iarygin,⁸ A. Ivanilov,²⁰ A. Izotov,¹⁹ H. E. Jackson,¹ A. Jgoun,¹⁹ R. Kaiser,¹⁴ T. Keri,¹³ E. Kinney,⁵ A. Kisselev,^5,19 T. Kobayashi,²⁴ M. Kopytin,⁷ V. Korotkov,²⁰ V. Kozlov,¹⁷ B. Krauss,⁹ P. Kravchenko,¹⁹ V. G. Krivokhijine,⁸ L. Lagamba,² L. Lapikás,¹⁸ P. Lenisa,¹⁰ P. Liebing,⁷ L. A. Linden-Levy,¹⁵ W. Lorenzon,¹⁶ J. Lu,²³ S. Lu,¹³ B.-Q. Ma,³ B. Maiheu,¹² N. C. R. Makins,¹⁵ Y. Mao,³ B. Marianski,²⁶ H. Marukyan,²⁷ F. Masoli,¹⁰ V. Mexner,¹⁸ N. Meyners,⁶ T. Michler,⁹ O. Mikloukho,¹⁹ C. A. Miller,²³ Y. Miyachi,²⁴ V. Muccifora,¹¹ M. Murray,¹⁴ A. Nagaitsev,⁸ E. Nappi,² Y. Naryshkin,¹⁹ M. Negodaev,⁷ W.-D. Nowak,⁷ H. Ohsuga,²⁴ A. Osborne,¹⁴ R. Perez-Benito,¹³ N. Pickert,⁹ M. Raithel,⁹ D. Reggiani,⁹ P. E. Reimer,¹ A. Reischl,¹⁸ A. R. Reolon,¹¹ C. Riedl,⁹ K. Rith,⁹ G. Rosner,¹⁴ A. Rostomyan,⁶ L. Rubacek,¹³ J. Rubin,¹⁵ D. Ryckbosch,¹² Y. Salomatin,²⁰ I. Sanjiev,^1,19 I. Savin,⁸ A. Schäfer,²¹ G. Schnell,²⁴ K. P. Schüler,⁶ J. Seele,⁵ B. Seitz,¹³ C. Shearer,¹⁴ T.-A. Shibata,²⁴ V. Shutov,⁸ K. Sinram,⁶ M. Stancari,¹⁰ M. Statera,¹⁰ E. Steffens,⁹ J. J. M. Steijger,¹⁸ H. Stenzel,¹³ J. Stewart,⁷ F. Stinzing,⁹ U. Stösslein,⁵ J. Streit,¹³ P. Tait,⁹ H. Tanaka,²⁴ S. Taroian,²⁷ B. Tchuiko,²⁰ A. Terkulov,¹⁷ A. Trzcinski,²⁶ M. Tytgat,¹² A. Vandenbroucke,¹² P. B. van der Nat,¹⁸ G. van der Steenhoven,¹⁸ Y. van Haarlem,¹² D. Veretennikov,¹⁹ V. Vikhrov,¹⁹ C. Vogel,⁹ S. Wang,³ C. Weiskopf,⁹ Y. Ye,⁴ Z. Ye,⁶ S. Yen,²³ B. Zihlmann,¹² and P. Zupranski²⁶

(HERMES Collaboration)

¹Physics Division, Argonne National Laboratory, Argonne, Illinois 60439-4843, USA
²Istituto Nazionale di Fisica Nucleare, Sezione di Bari, 70124 Bari, Italy
³School of Physics, Peking University, Beijing 100871, China
⁴Department of Modern Physics, University of Science and Technology of China, Hefei, Anhui 230026, China
⁵Nuclear Physics Laboratory, University of Colorado, Boulder, Colorado 80309-0390, USA
⁶DESY, 22603 Hamburg, Germany
⁷DESY, 15738 Zeuthen, Germany
⁸Joint Institute for Nuclear Research, 141980 Dubna, Russia
⁹Physikalisches Institut, Universität Erlangen-Nürnberg, 91058 Erlangen, Germany
¹⁰Istituto Nazionale di Fisica Nucleare, Sezione di Ferrara and Dipartimento di Fisica, Università di Ferrara, 44100 Ferrara, Italy
¹¹Istituto Nazionale di Fisica Nucleare, Laboratori Nazionali di Frascati, 00044 Frascati, Italy
¹²Department of Subatomic and Radiation Physics, University of Gent, 9000 Gent, Belgium
¹³Physikalisches Institut, Universität Gießen, 35392 Gießen, Germany
¹⁴Department of Physics and Astronomy, University of Glasgow, Glasgow G12 8QQ, United Kingdom
¹⁵Department of Physics, University of Illinois, Urbana, Illinois 61801-3080, USA
¹⁶Randall Laboratory of Physics, University of Michigan, Ann Arbor, Michigan 48109-1040, USA
¹⁷Lebedev Physical Institute, 117924 Moscow, Russia
¹⁸Nationaal Instituut voor Kernfysica en Hoge-Energiefysica (NIKHEF), 1009 DB Amsterdam, The Netherlands
¹⁹Petersburg Nuclear Physics Institute, St. Petersburg, Gatchina, 188350 Russia
²⁰Institute for High Energy Physics, Protvino, Moscow region, 142281 Russia
²¹Institut für Theoretische Physik, Universität Regensburg, 93040 Regensburg, Germany
²²Istituto Nazionale di Fisica Nucleare, Sezione Roma 1, Gruppo Sanità and Physics Laboratory, Istituto Superiore di Sanità, 00161 Roma, Italy
²³TRIUMF, Vancouver, British Columbia V6T 2A3, Canada
²⁴Department of Physics, Tokyo Institute of Technology, Tokyo 152, Japan
²⁵Department of Physics and Astronomy, Vrije Universiteit, 1081 HV Amsterdam, The Netherlands
²⁶Andrzej Soltan Institute for Nuclear Studies, 00-689 Warsaw, Poland
²⁷Yerevan Physics Institute, 375036 Yerevan, Armenia
²⁸36 Mizzen Circle, Hampton, Virginia 23664, USA

Received 21 September 2006; published 16 January 2007

Precisemeasurements of the spin structure functions of the proton g₁^p(x,Q²)and deuteron g₁^d(x,Q²) are presented over the kinematic range 0.0041<=x<=0.9and 0.18 GeV²<=Q²<=20 GeV². The data were collected at the HERMES experimentat DESY, in deep-inelastic scattering of 27.6 GeV longitudinally polarized positronsoff longitudinally polarized hydrogen and deuterium gas targets internal tothe HERA storage ring. The neutron spin structure function g₁ⁿis extracted by combining proton and deuteron data. The integralsof g₁^p,d at Q²=5 GeV² are evaluated over the measured xrange. Neglecting any possible contribution to the g₁^d integral fromthe region x<=0.021, a value of 0.330±0.011(theo)±0.025(exp)±0.028(evol) is obtained forthe flavor-singlet axial charge a₀ in a leading-twist next-to-next-to-leading-order analysis.

URL:	http://link.aps.org/doi/10.1103/PhysRevD.75.012007
DOI:	10.1103/PhysRevD.75.012007
PACS:	13.60.-r; 13.60.Hb; 13.88.+e; 14.20.Dh 13.60.-r Photon and charged-lepton interactions with hadrons 13.60.Hb Total and inclusive cross sections (including deep-inelastic processes) 13.88.+e Polarization in elementary particle interactions and scattering 14.20.Dh Protons and neutrons YEAR: 2006

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Phys. Rev. D 75, 012007 (2007) [48 pages]

Precise determination of the spin structure function g1 of the proton, deuteron, and neutron

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Precise determination of the spin structure function g₁ of the proton, deuteron, and neutron