Double-Pole Fit toA2(1300)Mass Spectra

Abstract

A double-pole explanation of the A2(1300) meson is shown to be consistent with recent bubble-chamber measurements of its missing-mass spectrum and of its Xi^iCi^-decaymode mass spectrum.

Model analyses of elementary particle scattering amplitudes

“…A second possibility is that the mass matrix itself has isospin dependence that has not yet been exploited. A third, rather remote, possibility is that the A2 system is formed with three strongly coupled mesons, the third meson now coupling only to KK the same way as mg does in the earlier analyses (13,14). The first method seems most likely, however, as an analogous effect occurs in the nit decay channel of the p° and u mesons.…”

“…The single-barrier potential of interest is V(r) = V^ô(r -a), a > 0, (13) with the convenient choice of a = 1 to set the scale of the interaction. The Jost solutions for this potential are…”

Model analyses of elementary particle scattering amplitudes

“…A Model of the A2 Meson found that the model with the 6^ (hereafter written 6^) range 0.08 < 6^ < 1.25 fitted the data of References 7 and 9 quite 2 well, the indicated limits having X probabilities of 10%, the best fits (near 6^ = 0.70) having 90% probabilities (13).…”

“…The single-barrier potential of interest is V(r) = V^ô(r -a), a > 0, (13) with the convenient choice of a = 1 to set the scale of the interaction. The Jost solutions for this potential are 0^(k,r) = k""^"^[u^(kr) + ©(r -l)V^u^(k)g^(k,r,l) ] (14) and f^(k,r) = w,(kr) -0(1 -r)V^w^(k)g^ (k,r, 1) ,…”