I. Fukui et N. Seto, SCALAR SCALAR LADDER MODEL IN THE UNEQUAL-MASS CASE .2. NUMERICAL-STUDIES OF THE BS AMPLITUDES, Progress of theoretical physics, 95(2), 1996, pp. 433-439
The Bethe-Salpeter amplitudes of the bound states formed by two scalar
particles with unequal masses are analyzed in the massive scalar part
icle exchange ladder model. The norms of the amplitudes are calculated
numerically, and it is confirmed that the norms vanish for the bound
states corresponding to complex eigenvalues of the coupling constant.
The behaviour of the Bethe-Salpeter amplitudes in the four-dimensional
momentum space is also investigated.