The Pion Form Factor Within the Hidden Local Symmetry Model

Details The Pion Form Factor Within the Hidden Local Symmetry Model The Pion Form Factor Within the Hidden Local Symmetry Model

2003-01-10

arxiv.org/abs/nucl-th/0301037v1

Eur.Phys.J.C29:397-411,2003

Physics

Nuclear Physics

Nuclear Theory

26 pages, 4 eps figs

Scientific paper

10.1140/epjc/s2003-01234-1

We analyze a pion form factor formulation which fulfills the Analyticity requirement within the Hidden Local Symmetry (HLS) Model. We show that it 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 $s=1$ GeV$^2$. It is shown that the coupling to $K \bar{K}$ has little effects, while $\omg \pi^0$ improves significantly the fit quality below the $\phi$ mass. 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 $\omg$ sector is also examined in relation with recent data from CMD--2.

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