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- W1586646496 abstract "It is known that in the ladder approximation the relativistic two-fermion bound-state equation of Bethe and Salpeter has solutions corresponding to the binding energy equal to the total mass of the particles. The study of these massless states has been carried out only for the bound system at rest. Of course, such composite boson can not be in the state of rest. But it is more importantly that this approach for the massless boson can not be interpreted as the limiting case of a nonzero mass system because the phase velocity of the boson wave must equal to the speed of light. Using the Bethe-Salpeter equation in the ladder approximation, we have obtained the wave equation for the massless bound states of two fermions with equal masses and the electromagnetic interaction between them. Neglecting retardation of the interaction, solutions corresponded to the stationary wave states of the composite boson, have been found. The boson wave function can be represented as an infinite, straight thread, the transverse radius of which is more than the Compton wavelength of the fermion. Two energy branches of the bosons with quantized energies have been determined. The appearance of these branches is due to the strong renormalization of the fine structure constant for the massless states." @default.
- W1586646496 created "2016-06-24" @default.
- W1586646496 creator A5000789033 @default.
- W1586646496 date "2007-06-28" @default.
- W1586646496 modified "2023-09-24" @default.
- W1586646496 title "Massless Wave States of Two-Fermion Systems" @default.
- W1586646496 cites W1975827820 @default.
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- W1586646496 doi "https://doi.org/10.48550/arxiv.0706.4243" @default.
- W1586646496 hasPublicationYear "2007" @default.
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