Swift, Arthur R. and Tucker, Robin (1971) *Relativistic trajectories from a configuration-space δ -shell interaction.* Physical Review D, 4 (6). pp. 1707-1716. ISSN 1550-7998

## Abstract

The Regge spectrum generated by a four-dimensional δ -shell interaction V(r)=λδ(r−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 ImαReα<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 δ -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.

Item Type: | Article |
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Journal or Publication Title: | Physical Review D |

Subjects: | |

Departments: | Faculty of Science and Technology > Physics |

ID Code: | 74855 |

Deposited By: | ep_importer_pure |

Deposited On: | 31 Jul 2015 15:28 |

Refereed?: | Yes |

Published?: | Published |

Last Modified: | 30 Aug 2017 14:45 |

Identification Number: | |

URI: | http://eprints.lancs.ac.uk/id/eprint/74855 |

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