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Relativistic trajectories from a configuration-space δ -shell interaction

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Relativistic trajectories from a configuration-space δ -shell interaction. / Swift, Arthur R.; Tucker, Robin.
In: Physical Review D, Vol. 4, No. 6, 15.09.1971, p. 1707-1716.

Research output: Contribution to Journal/Magazine › Journal article › peer-review

Harvard

Swift, AR & Tucker, R 1971, 'Relativistic trajectories from a configuration-space δ -shell interaction', Physical Review D, vol. 4, no. 6, pp. 1707-1716. https://doi.org/10.1103/PhysRevD.4.1707

APA

Swift, A. R., & Tucker, R. (1971). Relativistic trajectories from a configuration-space δ -shell interaction. Physical Review D, 4(6), 1707-1716. https://doi.org/10.1103/PhysRevD.4.1707

Vancouver

Swift AR, Tucker R. Relativistic trajectories from a configuration-space δ -shell interaction. Physical Review D. 1971 Sept 15;4(6):1707-1716. doi: 10.1103/PhysRevD.4.1707

Author

Swift, Arthur R. ; Tucker, Robin. / Relativistic trajectories from a configuration-space δ -shell interaction. In: Physical Review D. 1971 ; Vol. 4, No. 6. pp. 1707-1716.

Bibtex

@article{03fec9f14d3e44c28fa836c47aa6a4e3,
title = "Relativistic trajectories from a configuration-space δ -shell interaction",
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.",
author = "Swift, {Arthur R.} and Robin Tucker",
year = "1971",
month = sep,
day = "15",
doi = "10.1103/PhysRevD.4.1707",
language = "English",
volume = "4",
pages = "1707--1716",
journal = "Physical Review D",
issn = "1550-7998",
publisher = "American Physical Society",
number = "6",

}

RIS

TY - JOUR

T1 - Relativistic trajectories from a configuration-space δ -shell interaction

AU - Swift, Arthur R.

AU - Tucker, Robin

PY - 1971/9/15

Y1 - 1971/9/15

N2 - 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.

AB - 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.

U2 - 10.1103/PhysRevD.4.1707

DO - 10.1103/PhysRevD.4.1707

M3 - Journal article

VL - 4

SP - 1707

EP - 1716

JO - Physical Review D

JF - Physical Review D

SN - 1550-7998

IS - 6

ER -