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REMARKS ON CHEW-LOW EQUATIONS

CHANG TSUNG-SUI

REMARKS ON CHEW-LOW EQUATIONS

CHANG TSUNG-SUI
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  • Received Date:  07 September 1959
  • Published Online:  20 November 1959

REMARKS ON CHEW-LOW EQUATIONS

  • 1. 中国科学院数学研究所

Abstract: This short paper investigates two aspects of Chew-Low equations. First, it is compared with the usual formal theory of scattering, for example, that developed by Moeller. In comparison, it is proved that the wave functions occuring in the two formalisms are identical, apart from a constant multiple which represents the scalar product of the wave functions of a bare nucleon and a dressed nucleon. Next, equations of Chew-Low type with two h functions both possessing discontinuities along real axis from 1 to ∞ and from -1 to -∞ are investigated. It is shown that for the solution to exist, certain conditions on the crossing symmetry must be satisfied and that in certain special cases where the above condition is satisfied, existence of solutions requires the presence in the equations for h of an infinite number of terms representing intermediate discrete states.

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