Abstract
The Gaussian wave-functional approach is used to variationally study the two-particle states of the sinh-Gordon and sine-Gordon fields in (1+1) dimensions. We find that in the sine-Gordon model there exist two-particle bound states for a certain range of the coupling constant, where the vacuum state is stable, and in the sinh-Gordon model there are no two-particle bound states. The scattering behaviour of both models has also been investigated in detail.
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