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Title: Proton spin structure functions and generalized Sullivan processes

Abstract

We employ the time-ordered perturbation field theory in the infinite momentum limit, as developed extensively by Drell, Levy, and Yan, to derive the convolution formulas for the proton spin structure functions {ital g}{sub 1}({ital x},{ital Q}{sup 2}) and {ital g}{sub 2}({ital x},{ital Q}{sup 2}) suitable for the generalized Sullivan processes, in which the meson in the cloud or the recoiling baryon is struck and smashed by the virtual photon. Following a previous suggestion that the sea quark distributions of a nucleon at low and moderate {ital Q}{sup 2} may be attributed primarily to such Sullivan processes, we use the convolution formulas to obtain the first moments {Gamma}{sub {ital p}}{equivalent_to}{integral}{sub 0}{sup 1}{ital g}{sub 1}{sup {ital p}}({ital x},{ital Q}{sup 2}){ital dx} and {Gamma}{sub {ital n}}{equivalent_to}{integral}{sub 0}{sup 1}{ital g}{sub 1}{sup {ital n}}({ital x},{ital Q}{sup 2}){ital dx}, as well as to investigate {ital g}{sub 1}{sup {ital p}}({ital x},{ital Q}{sup 2}) and {ital g}{sub 1}{sup {ital n}}({ital x},{ital Q}{sup 2}) as a function of {ital x}. Our results indicate that both the data on {ital g}{sub 1}{sup {ital p}}({ital x},{ital Q}{sup 2}) obtained previously by the European Muon Collaboration and the recent data on the deuteron spin structure function {ital g}{sub 1}{sup {ital d}}({ital x},{italmore » Q}{sup 2}) obtained by the Spin Muon Collaboration can be understood and the Bjorken sum rule is satisfied. A comparison between our prediction on {ital g}{sub 1}{sup {ital n}}({ital x},{ital Q}{sup 2}) and the recent SLAC data is also given.« less

Authors:
;  [1]
  1. Department of Physics, National Taiwan University, Taipei, Taiwan 10764 (Taiwan, Province of China)
Publication Date:
OSTI Identifier:
142702
Resource Type:
Journal Article
Journal Name:
Physical Review, D
Additional Journal Information:
Journal Volume: 49; Journal Issue: 5; Other Information: PBD: 1 Mar 1994
Country of Publication:
United States
Language:
English
Subject:
66 PHYSICS; PROTONS; STRUCTURE FUNCTIONS; SPIN; PERTURBATION THEORY; EMC EFFECT; SUM RULES

Citation Formats

Chung, C., and Hwang, W.P.. Proton spin structure functions and generalized Sullivan processes. United States: N. p., 1994. Web. doi:10.1103/PhysRevD.49.2221.
Chung, C., & Hwang, W.P.. Proton spin structure functions and generalized Sullivan processes. United States. doi:10.1103/PhysRevD.49.2221.
Chung, C., and Hwang, W.P.. Tue . "Proton spin structure functions and generalized Sullivan processes". United States. doi:10.1103/PhysRevD.49.2221.
@article{osti_142702,
title = {Proton spin structure functions and generalized Sullivan processes},
author = {Chung, C. and Hwang, W.P.},
abstractNote = {We employ the time-ordered perturbation field theory in the infinite momentum limit, as developed extensively by Drell, Levy, and Yan, to derive the convolution formulas for the proton spin structure functions {ital g}{sub 1}({ital x},{ital Q}{sup 2}) and {ital g}{sub 2}({ital x},{ital Q}{sup 2}) suitable for the generalized Sullivan processes, in which the meson in the cloud or the recoiling baryon is struck and smashed by the virtual photon. Following a previous suggestion that the sea quark distributions of a nucleon at low and moderate {ital Q}{sup 2} may be attributed primarily to such Sullivan processes, we use the convolution formulas to obtain the first moments {Gamma}{sub {ital p}}{equivalent_to}{integral}{sub 0}{sup 1}{ital g}{sub 1}{sup {ital p}}({ital x},{ital Q}{sup 2}){ital dx} and {Gamma}{sub {ital n}}{equivalent_to}{integral}{sub 0}{sup 1}{ital g}{sub 1}{sup {ital n}}({ital x},{ital Q}{sup 2}){ital dx}, as well as to investigate {ital g}{sub 1}{sup {ital p}}({ital x},{ital Q}{sup 2}) and {ital g}{sub 1}{sup {ital n}}({ital x},{ital Q}{sup 2}) as a function of {ital x}. Our results indicate that both the data on {ital g}{sub 1}{sup {ital p}}({ital x},{ital Q}{sup 2}) obtained previously by the European Muon Collaboration and the recent data on the deuteron spin structure function {ital g}{sub 1}{sup {ital d}}({ital x},{ital Q}{sup 2}) obtained by the Spin Muon Collaboration can be understood and the Bjorken sum rule is satisfied. A comparison between our prediction on {ital g}{sub 1}{sup {ital n}}({ital x},{ital Q}{sup 2}) and the recent SLAC data is also given.},
doi = {10.1103/PhysRevD.49.2221},
journal = {Physical Review, D},
number = 5,
volume = 49,
place = {United States},
year = {1994},
month = {3}
}