Q<SUP>2</SUP>-Dependence of the Gerasimov-Drell-Hearn Sum Rule

Ma Weixing; Li Xiguo; Lu Dinghui

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

Abstract
HTML
Reference
Related

PDF

Abstract：
We test the Gerasimov-Drell-Hearn (GDH) sum rule numerically by calculating the total photon absorption cross sections σ_1/2 and σ_3/2 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.

References

[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

[1]	WANG Meng-Liang , ZHOU Dai-Cui . Medium modified fragmentation function: equivalence of the ACSX and QW formalisms in the high-Q² region. Chinese Physics C, 2011, 35(10): 935-939. doi: 10.1088/1674-1137/35/10/009
[2]	Ali N , Atashbar Tehrani . Jacobi polynomials and non-singlet structure function F₂(x,Q²) up to N³LO. Chinese Physics C, 2010, 34(9): 1479-1481. doi: 10.1088/1674-1137/34/9/077
[3]	R.H.Scott¹ , V.N.Asseev¹ , T.V.Kulevoy² , P.N.Ostroumov¹ , E.A.Poklonskaya³ , M.Sengupta¹ , N.E.Vinogradov⁴ . Status of the 2Q-LEBT Facility at ANL. Chinese Physics C, 2007, 31(S1): 111-114.
[4]	HUANG Yi-Bin , YAN Mu-Lin , WANG Xiao-Jun . Resummation Study on Decay ρ→ππ in U(2)_L×U(2)_R Chiral Theory of Mesons. Chinese Physics C, 2004, 28(4): 340-344.
[5]	WU Qi , LIU Chun-Xiu . Contribution of the πNN Processes to Gottfried Sum Rule Violation. Chinese Physics C, 2003, 27(2): 138-141.
[6]	JIANG Jun-Qin . Statistic Properties of the Excited Even and Odd q-Coherent States. Chinese Physics C, 2002, 26(4): 331-337.
[7]	GAO Yong-Hua , HE Ming-Zhong , DUAN Chun-Gui . Q²-Rescaling Parameters’Empiric Formula of the Double Q²-Rescaling Model. Chinese Physics C, 2001, 25(6): 533-537.
[8]	Dong Yubing . On Q-Dependent Behavior of the Polarized Structure Functions in the Resonance Region. Chinese Physics C, 1998, 22(6): 550-555.
[9]	Yao Xiaoxia , He Zhenmin , Duan Chungui , Li Guanglie , Peng Hongan . Improved Q²-Rescaling Model and the Nuclear Effect of Parton Distribution Functions. Chinese Physics C, 1997, 21(6): 548-553.
[10]	Yang Jianjun , Ma Boqiang , Li Guanglie . Non-perturbative Quark Propagator and the Study of the Non-trivial Q² Dependence in the Nucleon Structure Functions. Chinese Physics C, 1997, 21(2): 146-156.
[11]	Liu Jueping , Jin Yaping . Finite Temperature QCD Sum Rule and the ρ-Meson. Chinese Physics C, 1995, 19(12): 1108-1113.
[12]	Yu Zhaoxian , Liu Yehou , Li Qinglin , Liang Bifang . Study of SU(2)_q,s Coherent State by Using (q,s) Deformed Harmonic Oscillators of SU(2)_q,s Quantum Algebra. Chinese Physics C, 1995, 19(3): 258-263.
[13]	CHEN Yong-Qing . q-Oscillator Representations of the Quantum Superalgebra spl_q(2,1). Chinese Physics C, 1993, 17(7): 631-635.
[14]	LI Guang-Lie , LIU Ke-Fei . Q²-AND x- RESCALING AND NUCLEAR MOMENTUM CONSERVATION IN THE EMC EFFECT. Chinese Physics C, 1989, 13(7): 620-626.
[15]	Li Guanglie , K F. Liu . Q² and x-Rescaling Meehanisms and the Nuclear Momentum Conservation in the EMC Effect. Chinese Physics C, 1989, 13(S3): 263-272.
[16]	LUO Xiang-Qian , HE Bao-Peng , CHEN Qi-Zhou , LI Zhi-Bing , GUO Shuo-Hong . ΔI=1/2 RULE IN LATTICE GAUGE THEORIES. Chinese Physics C, 1988, 12(4): 477-483.
[17]	SHEN Qi-Xing , WU Ji-Min , LU Jing-Xian , ZHAO Pei-Ying . THE QCD BEHAVIOURS OF THE XF₃ (X, Q²) UP TO THE LEADING LOG IN THE NEUTRINO DEEPINELASTIC PROCESSES. Chinese Physics C, 1983, 7(3): 309-315.
[18]	SHEN Qi-Xing , WU Ji-Min , LU Jing-Xian , ZHAO Pei-Ying . THE BEHAVIOURS OF F₂^ep(X, Q²)-F₂^en(X, Q²) AND THE SCALE-BREAKING PARAMETER. Chinese Physics C, 1983, 7(3): 301-308.
[19]	HUANG CHAO-SHANG . THE LARGE MOMENTUM BEHAVIOR OF THE ELECTROMAGNETIC TRANSITION FORM FACTOR F_A₁π(q²) IN QCD. Chinese Physics C, 1982, 6(2): 168-175.
[20]	GAO YUAN-YI . TO ANALYSE THE PROPERTY SUPERBAND BY USING 2Δ. Chinese Physics C, 1981, 5(4): 508-512.

Access

Get Citation

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

RIS(for EndNote,Reference Manager,ProCite)

BibTex

Txt

Milestone

Received: 1998-07-16
Revised: 1900-01-01

Article Metric

Article Views(2948)
PDF Downloads(482)
Cited by(0)

Policy on re-use

To reuse of subscription content published by CPC, the users need to request permission from CPC, unless the content was published under an Open Access license which automatically permits that type of reuse.

通讯作者: 陈斌, bchen63@163.com

1.
沈阳化工大学材料科学与工程学院沈阳 110142

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 σ_1/2 and σ_3/2 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.

HTML

Reference (1)

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

Abstract：

References

Access

Article Metrics

Metrics

通讯作者: 陈斌, bchen63@163.com

Email This Article

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

Corresponding author: Ma Weixing,

HTML

目录

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

Abstract：

References

Access

Article Metrics

Metrics

通讯作者: 陈斌, bchen63@163.com

Email This Article

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

Corresponding author: Ma Weixing,

HTML

目录

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

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