Theory of weakly bound states of quasiparticles

The dependence of the binding energy of two quasiparticles on the total momentum is determined for quasiparticles with the dispersion law ϵ = ϵ0[1 + γ (ak)n] and interacting via an arbitrarily weak interaction. The asymptotics of the wave function of two quasiparticles in a bound state is determined in the one-, two-, and three-dimensional cases.

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