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We study the leading order finite size correction (Luscher's mu-term)associated to moving one-particle states, arbitrary scattering states andfinite volume form factors in 1+1 dimensional integrable models. Our method isbased on the idea that the mu-term is intimately connected to the innerstructure of the particles, ie. their composition under the bootstrap program.We use an appropriate analytic continuation of the Bethe-Yang equations toquantize bound states in finite volume and obtain the leading mu-term(associated to symmetric particle fusions) by calculating the deviations fromthe predictions of the ordinary Bethe-Yang quantization. Our results arecompared to numerical data of the E8 scattering theory obtained by truncatedfermionic space approach. As a by-product it is shown that the bound statequantization does not only yield the correct mu-term, but also provides the sumover a subset of higher order corrections as well.

Luscher's mu-term and finite volume bootstrap principle for scattering states and form factors