Scattering observables and correlation function for $p ~f_1(1285)$ revisited

Abstract

In view of the recent theoretical developments in the fixed center approximation for the scattering of a particle with a a two-body cluster, implementing elastic unitarity on the standard fixed center formalism, and the imminent availability of ALICE data on the correlation function of the $p~f_1(1285)$ system, we update the results of a previous work for this correlation function and the low-energy scattering observables. The new results show appreciable changes in some observables and should provide valuable input for comparison with the forthcoming experimental data. Such a comparison is expected to yield relevant information on the nature of the axial-vector meson states.

Figures (4)

• Figure 1: Diagrams in the FCA for $Nf_1(1285)$ scattering. The diagrams for $(\bar{K} ^* K)^{I=0}$ have to be considered in addition.
• Figure 2: Diagrams required for the unitarization of the $pf_1(1285)$ scattering amplitude.
• Figure 3: $pf_1(1285)$ scattering amplitude $T^{tot}$ for the central values of the amplitude parameters, i.e.$g_{\Lambda(1800)}=3.65$, $M_{\Lambda(1800)}=1809$ MeV and $\Gamma_{\Lambda(1800)}=200$ MeV.
• Figure 4: $pf_1(1285)$ CF with its corresponding error band estimation (see text for more details) for three different source size values.