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nucleon internal structure: a new set of quark, gluon momentum, angular momentum operators and parton distribution functions

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Chinese Physics C 2009年第12期33卷 1197-1204页

作者：王凡陈相松吕晓夫孙为民 T. Goldman Department of Physics Nanjing University Joint Institute of Particle Nuclear Physics and Cosmology Nanjing University and the Purple Mountain Observatory Chinese Academy of Sciences Department of Physics Sichuan University Theoretical Division Los Alamos National Laboratory Los Alamos NM 87545 USA

It is unavoidable to deal with the quark and gluon momentum and angular momentum contributions to the nucleon momentum and spin in the study of nucleon internal structure. However we never have the quark and gluon momentum, orbital angular momentum and gluon spin operators which satisfy both the gauge invariance and the canonical momentum and angular momentum commutation relation. The conflicts between the gauge invariance and canonical quantization requirement of these operators are discussed. A new set of quark and gluon momentum, orbital angular momentum and spin operators, which satisfy both the gauge invariance and canonical momentum and angular momentum commutation relation, are proposed. The key point to achieve such a proper decomposition is to separate the gauge field into the pure gauge and the gauge covariant parts. The same conflicts also exist in QED and quantum mechanics and have been solved in the same manner. The impacts of this new decomposition to the nucleon internal structure are discussed.

关键词： nucleon internal structure quark-gluon momentum and angular momentum canonical commutation relation gauge invariance

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Gauge invariance and quantization applied to atom and nucleon internal structure

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Chinese Physics C 2010年第9期34卷 1312-1319页

作者：王凡陈相松吕晓夫孙为民 T.Goldman Department of Physics Nanjing University Joint Institute of Particle Nuclear Physics and Cosmology Nanjing University and the Purple Mountain ObservatoryChinese Academy of Sciences Department of Physics Sichuan University Theoretical Division Los Alamos National Laboratory

The prevailing theoretical quark and gluon momentum,orbital angular momentum and spin operators,satisfy either gauge invariance or the corresponding canonical commutation relation,but one never has these operators which satisfy both except the quark *** conflicts between gauge invariance and the canonical quantization requirement of these operators are discussed.A new set of quark and gluon momentum,orbital angular momentum and spin operators,which satisfy both gauge invariance and canonical momentum and angular momentum commutation relation,are *** achieve such a proper decomposition the key point is to separate the gauge field into the pure gauge and the gauge covariant *** same conflicts also exist in QED and quantum mechanics,and have been solved in the same *** impacts of this new decomposition to the nucleon internal structure are discussed.

关键词： nucleon internal structure quark-gluon momentum and angular momentum canonical commu-tation relation gauge invariance.

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