Two-Particle States in the Sinh-Gordon and Sine-Gordon Models in (1+1) Dimensions

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Communications in Theoretical Physics ›› 1994, Vol. 22 ›› Issue (1) : 85-94.

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Two-Particle States in the Sinh-Gordon and Sine-Gordon Models in (1+1) Dimensions

Wen-Fa LU¹, Bo-Wei XU¹, Yu-Mei ZHANG²

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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 twoparticle bound states. The scattering behaviour of both models has also been investigated in detail.

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Wen-Fa LU, Bo-Wei XU, Yu-Mei ZHANG. Two-Particle States in the Sinh-Gordon and Sine-Gordon Models in (1+1) Dimensions[J]. Communications in Theoretical Physics, 1994, 22(1): 85-94

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