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- W1996239721 abstract "The Regge spectrum generated by a four-dimensional $ensuremath{delta}$-shell interaction $V(r)=ensuremath{lambda}ensuremath{delta}(rensuremath{-}a)$, where $r$ is the four-dimensional radius, is investigated by means of exact solutions of the Wick-rotated Bethe-Salpeter equation. In this model only the leading trajectory can generate resonances. It is infinitely rising with $frac{mathrm{Im}ensuremath{alpha}}{mathrm{Re}ensuremath{alpha}<1}$. Odd daughter trajectories either develop negative imaginary parts or do not rise. Even daughter trajectories turn over above the elastic threshold. This spectrum is contrasted with that obtained from a $ensuremath{delta}$-shell interaction in potential theory. The potential-theory model is characterized by an infinite set of parallel, infinitely rising trajectories. The equivalence between the partial-wave Bethe-Salpeter equation and the continuous-dimensional formalism used here is explicitly developed. Suggestions are made for extending the method to Bethe-Salpeter equations involving spin or multichannel effects." @default.
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- W1996239721 date "1971-09-15" @default.
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- W1996239721 title "Relativistic Trajectories from a Configuration-Spaceδ-Shell Interaction" @default.
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- W1996239721 doi "https://doi.org/10.1103/physrevd.4.1707" @default.
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