-
这篇短文讨论了Chew-Low方程的二个问题。第一,我们将它与寻常的散射形式理论作一比较,证明了二个理论的波函数除去一个常数倍外,完全相同。这个常数倍即是物理核子及裸核子的波函数的内乘积。第二,我们讨论了一般的含有二个h函数的Chew-Low方程的解,方程的形式使它们在实轴上在(1,∞)及(-1,-∞)二段上不连续。我们证明了为使解存在,交叉对称必须满足某些条件,而即使这些条件已满足,在某些情形下解的存在要求原来的h的方程含有无穷多个代表中间分立态的项。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.
[1] -
[1]
计量
- 文章访问数: 7318
- PDF下载量: 427
- 被引次数: 0