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- W2023154467 abstract "We study, in the framework of relativistic quantum constraint dynamics, the bound state problem of two oppositely charged spin 1/2 particles, with masses m 1 and m 2 , in mutual electromagnetic interaction. We search for the critical value of the coupling constant α for which the bound state energy reaches the lower continuum, thus indicating the instability of the heavier particle or of the strongly coupled QED vacuum in the equal mass case. Two different choices of the electromagnetic potential are considered, corresponding to different extensions of the substitution rule into the nonperturbative region of α: (i) the Todorov potential, already introduced in the quasipotential approach and used by Crater and Van Alstine in Constraint Dynamics; (ii) a second potential (potential II), characterized by a regular behavior at short distances. For the Todorov potential we find that for m 2 >m 1 there is always a critical value α c of α, depending on m 2 /m 1 , for which instability occurs. In the equal mass case, instability is reached at α c =1/2 with a vanishing value of the cutoff radius, generally needed for this potential at short distances. For potential II, on the other hand, we find that instability occurs only for m 2 >2.16 m 1 ." @default.
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- W2023154467 date "1994-12-30" @default.
- W2023154467 modified "2023-09-25" @default.
- W2023154467 title "STRONG COULOMB COUPLING IN RELATIVISTIC QUANTUM CONSTRAINT DYNAMICS" @default.
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- W2023154467 doi "https://doi.org/10.1142/s0217751x9400234x" @default.
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