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

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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.

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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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通讯作者: 陈斌, bchen63@163.com

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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.

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

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