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Chinese Physics C> 1999, Vol. 23> Issue(9) : 880-889 

Q2-Dependence of the Gerasimov-Drell-Hearn Sum Rule

  •  Institate of High Energy Physics. The Chinese Academy of sciences, Beijing 1000392 Center of Theortical Nuclear Physics, National Laboratory of Heavy Ion Collisions, Lanzhou 7300003 Department of Physics and Mathematical Physics and Special Research Center for the Subatomic Structure of Matter, Universing of Adelaide, Australia 50054 Institute of Modern Physics, The Chinese Academy of Sciences, Lanzhou 730000

  • We test the Gerasimov-Drell-Hearn (GDH) sum rule numerically by calculating the total photon absorption cross sections σ1/2 and σ3/2 on the nucleon via photon excitation of baryon resonances in the constituent quark model. A total of seventeen, low-lying, non-strange baryon resonances are included in mis calculation.The transverse and longitudinal interference cross section, σ, is found to play an important role in the study of the Q2 variation of the sum rule. The results show that the GDH sum rule is saturated by these resonances at a confidence level of 94%. Inparticular , the P33,(1232) excitation largely saturates the stun rule at Q2=0, and dominates at small Q2. The GDH integers has a strong Q2-dependence below Q2=1.0GeV2 and changes its sign around Q2=0.3GeV2. It becomes weakly Q2-dependence for Q2>1.0GeV2 because of the qinck decline of resonance contributions.
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    [1] Gerasimov S B. Sov.J. Nucl. Phys, 1966, 2:430;Drell S D, Heran A O. Phys. Rev. Lett, 1966, 16:908; Drechsel D. Prog. Part. Nucl. Phys., 1995,34: 1812 Ashman J et al. Phys. Lett,1988, B206:364; Nucl Phys,1989,B328:13 Close F E, Gilman F J, Karliner I. Phys. Rev, 1972, D6:2533 4 Burkert V, Li Z.Phys. Rev.,1993,D47:46;Li Z P,Li Z. Phys. Rev,1994,D50: 31195 Bockhorst M et al.Z.Phys.,1994, C63:376 GRAAL ESRF–Grenoble Report, 1992 7 Dytman S et al. Phys.Rev., 1995, C51:2170 8 Krusch B et al.Phys.Rev.Lett, 1995,74:37369 Low E Phys. Rev., 1954, 96:1428; Gell–Mann M Goldberger M L. Phys. Rev., 1954, 96: 1433 10 Burkardt H, Cottingham W. Ann. Phys. (N.Y.), 1971, 56:453 11 Bjorken J D Phys. Rev., 1966, 148: 1467; Phys. Rev., 1970, D1: 1376 12 Bass S D Med. Phys. Lett., 1997, A12: 1051 13 Ellis J, Jaffe R L. Phys. Rev., 1974, D9: 1444; 1971, D10: 1669(E)14 Leader E Predazzi E. An Introdution to Gauge Theory and New Physics, Cambridge Press., 1982; Decker et al. Strangeness in the Nocleon. CERNPPE/ 92–A01015 Ioffe B L, Khoze V A, Lipatov L N. Hard processes., 1:14; Amsterdam. North–Holland. 1984; rmzen F, Martin A D. Quarks and Leptons. New York: John Wiley and Sons Inc, 1984 16 Gilman F J. Phys. Rev., 1968, 167: 136517 Li Z P, Cose F E. Phys. Rev., 1990, D42:2207; Li Z P. Phys. Rev., 1993, D47: 1854 18 Li Z P. Ph. D Thesis. Univ Ersity. of Tennessee. 1991; Zhang Lin. Thesis. IHEP–TH–96. 1996; Li Z P, Dong Y B, Ma W H. J. Phys., 1997, G23: 15119 Fubini S, Furlan G Rossetti C. Nuovo Cimento, 1965, 40: 1171; Stoler P. Phys. Rep., 1993, 226: 103 20 Koniuk R, Isgur N Phys. Rev., 198D, D21: 188821 Close F E. Introduction to Quarks and Partons. New York: Acadendc Press., 197922 U Z P. Phys. Rev., 1994, D50: 5639; 1995, 52: 4961; Phys. Rev., 1995, C52: 1648; Li Z P, Ye H X, Lu M H. Phys. Rev., 1997, C56:109923 Haiden R. Ph. D. Thesis. University of Hambueg. Desy–F21–79/03 24 Karlinger I. Phys. Rev., 1973, D7: 2717; Workman R L Arndt A. Phys. Rev., 1992, D45: 1789

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Ma Weixing, Li Xiguo and Lu Dinghui. Q2-Dependence of the Gerasimov-Drell-Hearn Sum Rule[J]. Chinese Physics C, 1999, 23(9): 880-889.
Ma Weixing, Li Xiguo and Lu Dinghui. Q2-Dependence of the Gerasimov-Drell-Hearn Sum Rule[J]. Chinese Physics C, 1999, 23(9): 880-889. shu
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Received: 1998-07-16
Revised: 1900-01-01
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Q2-Dependence of the Gerasimov-Drell-Hearn Sum Rule

    Corresponding author: Ma Weixing,
  • Institate of High Energy Physics. The Chinese Academy of sciences, Beijing 1000392 Center of Theortical Nuclear Physics, National Laboratory of Heavy Ion Collisions, Lanzhou 7300003 Department of Physics and Mathematical Physics and Special Research Center for the Subatomic Structure of Matter, Universing of Adelaide, Australia 50054 Institute of Modern Physics, The Chinese Academy of Sciences, Lanzhou 730000
  • Received Date: 1998-07-16
  • Accepted Date: 1900-01-01
  • Available Online: 1999-09-05

Abstract: We test the Gerasimov-Drell-Hearn (GDH) sum rule numerically by calculating the total photon absorption cross sections σ1/2 and σ3/2 on the nucleon via photon excitation of baryon resonances in the constituent quark model. A total of seventeen, low-lying, non-strange baryon resonances are included in mis calculation.The transverse and longitudinal interference cross section, σ, is found to play an important role in the study of the Q2 variation of the sum rule. The results show that the GDH sum rule is saturated by these resonances at a confidence level of 94%. Inparticular , the P33,(1232) excitation largely saturates the stun rule at Q2=0, and dominates at small Q2. The GDH integers has a strong Q2-dependence below Q2=1.0GeV2 and changes its sign around Q2=0.3GeV2. It becomes weakly Q2-dependence for Q2>1.0GeV2 because of the qinck decline of resonance contributions.

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