Elsevier

Nuclear Physics A

Volume 628, Issue 4, 26 January 1998, Pages 607-644
Nuclear Physics A

Meson properties in an extended non-local NJL model

https://doi.org/10.1016/S0375-9474(97)00635-0Get rights and content

Abstract

We consider a non-local version of the NJL model, based on a separable quark-quark interaction. The interaction is extended to include terms that bind vector and axial-vector mesons. The non-locality means that no further regulator is required. Moreover the model is able to confine the quarks by generating a quark propagator without poles at real energies. Working in the ladder approximation, we calculate amplitudes in Euclidean space and discuss features of their continuation to Minkowski energies. Conserved currents are constructed and we demonstrate their consistency with various Ward identities. Various meson masses are calculated, along with their strong and electromagnetic decay amplitudes. We also calculate the electromagnetic form factor of the pion, as well as form factors associated with the processes γγ* → π0 and ω → π0γ*. The results are found to lead to a satisfactory phenomenology and lend some dynamical support to the idea of vector-meson dominance.

References (71)

  • J. Bijnens

    Phys. Rep.

    (1996)
  • J. Bijnens et al.

    Phys. Lett. B

    (1994)
    J. Bijnens et al.

    Z. Phys. C

    (1994)
  • E. Nikolov et al.

    Nucl. Phys. A

    (1996)
  • I.J.R. Aitchison et al.

    Nucl. Phys. A

    (1996)
  • D.I. Dyakonov et al.

    Nucl. Phys. B

    (1984)
    D.I. Dyakonov et al.

    Sov. Phys. JETP

    (1985)
    D.I. Dyakonov et al.

    Sov. Phys. JETP

    (1985)
    D.I. Dyakonov et al.

    Nucl. Phys. B

    (1986)
  • S. Schmidt et al.

    Phys. Rev. C

    (1994)
  • G.V. Efimov et al.G.V. Efimov et al.

    Phys. Rev. D

    (1995)
    Ja.V. Burdanov et al.

    Phys. Rev. D

    (1996)
  • K. Langfield et al.

    Nucl. Phys. A

    (1996)
  • H. Reinhardt

    Phys. Lett. B

    (1991)
    K. Langfeld et al.

    Phys. Lett. B

    (1991)
    K. Langfeld et al.

    Phys. Lett. B

    (1992)
  • P.T. Cahill et al.

    Phys. Rev. D

    (1985)
    J. Praschifka et al.

    Phys. Rev. D

    (1987)
  • M.R. Frank et al.

    Phys. Rev. C

    (1996)
  • C.D. Roberts et al.

    Prog. Part. Nucl. Phys.

    (1994)
  • M. Buballa et al.

    Phys. Lett. B

    (1992)
  • J. Prades

    Z. Phys. C

    (1994)
  • S. Klimt et al.

    Nucl. Phys. A

    (1990)
    S. Klimt et al.

    Nucl. Phys. A

    (1990)
  • U.-G. Meissner

    Phys. Rep.

    (1988)
  • M.C. Birse

    Z. Phys. A

    (1996)
  • W. Broniowski et al.

    Z. Phys. A

    (1996)
  • J. Ball et al.

    Phys. Rev. D

    (1980)
  • M.A. Shifman et al.

    Nucl. Phys. B

    (1979)
    M.A. Shifman et al.

    Nucl. Phys. B

    (1979)
    M.A. Shifman et al.

    Nucl. Phys. B

    (1979)
  • J. Gasser et al.

    Phys. Rep.

    (1982)
  • K.L. Au et al.

    Phys. Rev. D

    (1987)
    D. Morgan et al.

    Phys. Rev. D

    (1993)

  • Phys. Rev. D

    (1996)
  • C.J. Burden et al.

    Austr. J. Phys.

    (1997)
  • S. Weinberg

    Phys. Rev. Lett.

    (1990)
  • S. Coleman et al.

    Phys. Rev.

    (1969)
    C.G. Callan et al.

    Phys. Rev.

    (1969)
  • J. Gronberg et al., Cornell preprint CLNS...
  • D. Dale and A. Gasparian (spokespersons), Jefferson Lab letter of intent...
  • S.I. Eidelman
  • L.G. Landsberg

    Phys. Rep.

    (1985)
  • M. Zielinski

    Phys. Rev. Lett.

    (1984)
  • Y. Nambu et al.

    Phys. Rev.

    (1961)
    Y. Nambu et al.

    Phys. Rev.

    (1961)
  • U. Vogl et al.

    Prog. Part. Nucl. Phys.

    (1991)
    S.P. Klevansky

    Rev. Mod. Phys.

    (1992)
    T. Hatsuda et al.

    Phys. Rep.

    (1994)
  • J. Bijnens et al.

    Z. Phys. C

    (1994)
  • T. Meissner et al.

    Z. Phys. A

    (1990)

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