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arxiv: hep-th/0107237 · v1 · submitted 2001-07-27 · ✦ hep-th · hep-ph· nucl-th

Stability of bound states in the light-front Yukawa model

classification ✦ hep-th hep-phnucl-th
keywords alphaboundstatesbelowcalculatedconstantcouplingcritical
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We show that in the system of two fermions interacting by scalar exchange, the solutions for J$^{\pi}$=$0^+$ bound states are stable without any cutoff regularization, for values of the coupling constant $\alpha$ below a critical value $\alpha_c$. This latter is calculated from an eigenvalue equation.

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