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The pion form factor within the hidden local symmetry model

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Abstract.

We analyze a pion form factor formulation which fulfills the Analyticity requirement within the Hidden Local Symmetry (HLS) Model. This implies an s-dependent dressing of the \(\rho-\gamma\) VMD coupling and an account of several coupled channels. The corresponding function \(F_\pi(s)\) provides nice fits of the pion form factor data from s=-0.25 to s=1 GeV2. It is shown that the coupling to \(K \overline{K}\) has little effect, while \(\omega \pi^0\) improves significantly the fit probability below the \(\phi\) mass. No need for additional states like \(\rho(1450)\) shows up in this invariant-mass range. All parameters, except for the subtraction polynomial coefficients, are fixed from the rest of the HLS phenomenology. The fits show consistency with the expected behaviour of \(F_\pi(s)\) at s=0 up to \({\cal O} (s^2)\) and with the phase shift data on \(\delta_1^1(s)\) from threshold to somewhat above the \(\phi\) mass. The \(\omega\) sector is also examined in relation with recent data from CMD-2.

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Authors and Affiliations

  1. Laboratoire Européen pour la Recherche Nucléaire, CERN, 1211, Genève 23, Switzerland

    M. Benayoun

  2. Laboratoire Européen pour la Recherche Nucléaire, LPNHE des Universités Paris VI et VII-IN2P3, Paris, France

    M. Benayoun, P. David, L. DelBuono & Ph Leruste

  3. Laboratoire Européen pour la Recherche Nucléaire, Fermilab, PO Box 500 MS 109, IL 60510, Batavia, USA

    H. B. O'Connell

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  1. M. Benayoun
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  2. P. David
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  3. L. DelBuono
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  4. Ph Leruste
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  5. H. B. O'Connell
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Received: 13 January 2003, Revised: 12 March 2003, Published online: 2 June 2003

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Benayoun, M., David, P., DelBuono, L. et al. The pion form factor within the hidden local symmetry model. Eur. Phys. J. C 29, 397–411 (2003). https://doi.org/10.1140/epjc/s2003-01234-1

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