## Abstract

We present a new measurement of the virtual photon proton asymmetry A^{p}_{1} from deep inelastic scattering of polarized muons on polarized protons in the kinematic range 0.0008 < x < 0.7 and 0.2 < Q^{2} < 100 GeV^{2}. With this, the statistical uncertainty of our measurement has improved by a factor of 2 compared to our previous measurements. The spin-dependent structure function g_{p1} is determined for the data with Q^{2} > 1 GeV^{2}. A perturbative QCD evolution in next-to-leading order is used to determine g^{p}_{1}(x) at a constant Q^{2}. At Q2 = 10 GeV^{2} we find, in the measured range, ∫^{0.7}_{0.003} g^{p}_{1}(x)d x = 0.139 ± 0.006(stat) ± 0.008(syst) ± 0.006 (evol). The value of the first moment Γ^{p1} = ∫^{1}_{0}g^{p}_{1}(x)dx of g^{p}_{1} depends on the approach used to describe the behaviour of g^{p}_{1} at low x. We find that the Ellis-Jaffe sum rule is violated. With our published result for Γ^{d}_{1} we confirm the Bjorken sum rule with an accuracy of ≈ 15% at the one standard deviation level.

Original language | English |
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Pages (from-to) | 414-424 |

Number of pages | 11 |

Journal | Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics |

Volume | 412 |

Issue number | 3-4 |

DOIs | |

State | Published - 30 Oct 1997 |

### Funding

Funders | Funder number |
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Energie Atomique | |

US National Science Foundation | |

National Science Foundation | |

Nederlandse Organisatie voor Wetenschappelijk Onderzoek | |

Comisión Interministerial de Ciencia y Tecnología | |

Bundesministerium für Bildung, Wissenschaft, Forschung und Technologie |

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