WARD IDENTITIES AND BETHE-SALPETER EQUATIONS AND THE ELECTROMAGNETIC TRANSITION ELEMENTS OF MESONS AND BARYONS

LI BING-AN

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2024年10月30日

Chinese Physics C> 1979, Vol. 3> Issue(2) : 141-151

WARD IDENTITIES AND BETHE-SALPETER EQUATIONS AND THE ELECTROMAGNETIC TRANSITION ELEMENTS OF MESONS AND BARYONS

LI BING-AN

Institute of High Energy Physics,Academia Sinica

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Abstract：
By using Ward Identities,the relations between the kernels of the mesonic andbaryonic Bethe-Salpeter equation and their transition matrix elements of the electriccurrent are obtained.These relations are the constraints for the assumptions underly-ing the discussion of the equations and the transition matrix elements.These constraintsguarantee the conservation of the electomagnetic current.When the contribution ofthe straton loop diagrams is neglected the kernels of the transition matrix elementsof the electromagnetic current can be computed,from the kernels of B-S equation byusing the retations given by Ward Identities.Under the potential assumption for thekernels of the equation,expressions of the kernels of the transition matrix elements areobtanied.The transition matrix elements of the electomagnetic current can be computedby using the kernels of the equation and the solved wave functions.

References

[1]	北京基本粒子理论组，1966年北京物理讨论会论文.[2] M. Bhm. Nucl. Phys，B91 (1975), 494.[3] S .Mandelstam, Proc. Roy. Soc., 233 (1955), 248.[4] 数学所理论物理室、北京大学理论物理室基本拉子组，原子能，7-8(1966), 507.

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LI BING-AN. WARD IDENTITIES AND BETHE-SALPETER EQUATIONS AND THE ELECTROMAGNETIC TRANSITION ELEMENTS OF MESONS AND BARYONS[J]. Chinese Physics C, 1979, 3(2): 141-151.

LI BING-AN. WARD IDENTITIES AND BETHE-SALPETER EQUATIONS AND THE ELECTROMAGNETIC TRANSITION ELEMENTS OF MESONS AND BARYONS[J]. Chinese Physics C, 1979, 3(2): 141-151. shu

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Received: 1977-09-14
Revised: 1900-01-01

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WARD IDENTITIES AND BETHE-SALPETER EQUATIONS AND THE ELECTROMAGNETIC TRANSITION ELEMENTS OF MESONS AND BARYONS

LI BING-AN

Institute of High Energy Physics,Academia Sinica

Received Date: 1977-09-14
Accepted Date: 1900-01-01
Available Online: 1979-04-05

Abstract: By using Ward Identities,the relations between the kernels of the mesonic andbaryonic Bethe-Salpeter equation and their transition matrix elements of the electriccurrent are obtained.These relations are the constraints for the assumptions underly-ing the discussion of the equations and the transition matrix elements.These constraintsguarantee the conservation of the electomagnetic current.When the contribution ofthe straton loop diagrams is neglected the kernels of the transition matrix elementsof the electromagnetic current can be computed,from the kernels of B-S equation byusing the retations given by Ward Identities.Under the potential assumption for thekernels of the equation,expressions of the kernels of the transition matrix elements areobtanied.The transition matrix elements of the electomagnetic current can be computedby using the kernels of the equation and the solved wave functions.