具有交叉对称的李模型下的非弹性振幅

在具有交叉对称的李模型中,写出了非弹性振幅的积分方程组,它们是Omne氏型的。在已知弹性振幅时,这积分方程组是可解的。在适当地写出这方程组时,可证明非齐次项是小的(在某些区域内),因而使解也有取小值的可能。

INELASTIC AMPLITUDES IN THE LEE MODEL POSSESSING CROSSING SYMMETRIES

The first inelastic amplitudes in the Lee model possessing crossing symmetries are shown to satisfy a pair of simultaneous integral equations of Omne's type which may be solved in the usual way, on assuming known elastic amplitudes. The equations may be written in such a way that the inhomogeneous terms are small in the elastic region of one of the variables. From this, it is shown that it is possible that the inelastic contributions to the absorptive part of the elastic scattering are small in the first inelastic region.A set of integral equations displaying fuller crossing symmetry among the θ particles involved is proposed.