Chiral-odd transversity spin structure function h1(x) of the nucleon in a constituent quark model |
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| Institution: | 1. Institut für Theoretische Physik, Technische Universität München, D-85747 Garching, Germany;2. Computation Center, Institute of Physical and Chemical Research (RIKEN), Wako, Saitama 351-01, Japan;1. Department of Physics and Astronomy, University of California, Riverside, CA 92521, USA;2. TRIUMF, 4004 Wesbrook Mall, Vancouver, BC V6T 2A3, Canada;1. INFN Sezione di Bari, Bari, Italy;2. INFN Sezione di Catania, Catania, Italy;3. Institute of Physics, Jagiellonian University, Cracow, Poland;4. Laboratori Nazionali di Frascati dell''INFN, Frascati, Italy;5. Dipartimento di Fisica e Scienze della Terra dell''Università di Messina, Messina, Italy;6. INFN Gruppo collegato di Messina, Messina, Italy;7. Dipartimento di Fisica dell''Università della Calabria, Rende, Italy;8. INFN Gruppo collegato di Cosenza, Rende, Italy;9. Dipartimento di Scienze di Base ed Applicate per l''Ingegneria dell''Università “Sapienza”, Roma, Italy;10. Dipartimento di Scienze e Tecnologie applicate, Università “Guglielmo Marconi”, Roma, Italy;11. Novosibirsk State University, 630090 Novosibirsk, Russia;12. Dipartimento di Fisica dell''Università “Sapienza”, Roma, Italy;13. INFN Sezione di Roma, Roma, Italy;14. Dipartimento di Fisica dell''Università “Tor Vergata”, Roma, Italy;15. INFN Sezione di Roma Tor Vergata, Roma, Italy;p. Dipartimento di Matematica e Fisica dell''Università “Roma Tre”, Roma, Italy;q. INFN Sezione di Roma Tre, Roma, Italy;r. ENEA UTTMAT-IRR, Casaccia R.C., Roma, Italy;s. Department of Physics and Astronomy, Uppsala University, Uppsala, Sweden;t. National Centre for Nuclear Research, Warsaw, Poland;1. Bogolyubov Institute for Theoretical Physics, National Academy of Sciences of Ukraine, 03143 Kyiv, Ukraine;2. Istituto Nazionale di Fisica Nucleare, Gruppo collegato di Cosenza, I-87036 Arcavacata di Rende, Cosenza, Italy;3. Institut für Theoretische Physik, Goethe-Universität Frankfurt, Max-von-Laue-Str. 1, 60438 Frankfurt am Main, Germany;4. Department of Physics and Astronomy, York University, Toronto, ON, M3J 1P3, Canada;5. Dipartimento di Fisica, Università della Calabria, I-87036 Arcavacata di Rende, Cosenza, Italy;1. Key Laboratory of Particle Astrophysics, Institute of High Energy Physics, Chinese Academy of Sciences, Beijing 100049, China;2. University of Chinese Academy of Sciences, Beijing 100049, China;3. Southwest Jiaotong University, Chengdu 611756, China;4. Hebei Normal University, Shijiazhuang 050024, China;5. Tsinghua University, Beijing 100084, China |
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| Abstract: | We study the chiral-odd transversity spin-dependent quark distribution function h1(x) of the nucleon in a constituent quark model. The twist-2 structure functions, f1(x), g1(x) and h1(x) are calculated within the diquark spectator approximation. Whereas an inequality f1(x) > h1(x) > g1(x) holds with the interaction between quark and diquark being scalar, the axial-vector effective quark-diquark interaction, which contributes to the d-quark distribution, does not lead to such a simple relation. We find that h1(x) for the d-quark becomes somewhat smaller than g1d(x), when we fix the model parameter to reproduce known other structure functions. We also include corrections due to the non-trivial structure of the constituent quark, which is modeled by the Goldstone boson dressing. This improves agreements of f1(x) and g1(x) with experiments, and brings further reduction of h1d(x) distribution. Consequences for semi-inclusive experiments are also discussed. |
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