Dalitz plot studies of D0→KS0K+K− decays in a factorization approach

The $\textit{BABAR}$ Collaboration data of the $D^0 \to K^0_S K^+ K^-$ process are analyzed within a quasi two-body factorization framework. In earlier studies, assuming $D^0$ transitions to two kaons and between one kaon proceed through dominant intermediate resonances, we approximated them as being proportional form factors. To obtain good fits, has multiply scalar-kaon factors, derived from unitary relativistic coupled-channel models or in dispersion relation approach, by phenomenological energy-dependent functions. final state kaon-kaon interactions $S$-, $P$- $D$- waves taken into account. All $S$-wave channels treated way. $K^+K^-$ $\bar K^0 K^+$ effective mass squared distributions, corrected for phase space, shown, model-independent manner, be significantly different. Then $f_0(980)$ resonance must included at variance with BABAR analysis. best fit 19 free parameters indicates i) dominance annihilation amplitudes, ii) large meson near threshold invariant distribution iii) sizable branching fraction $K_S^0 \ [\rho(770)^+ + \rho(1450)^+ \rho(1700)^+] $ states. An appendix provides an update determination isoscalar-scalar meson-meson amplitudes based on enlarged set data. A second proposes alternative fits factors calculated Muskhelishvili-Omn\`es approach. These have $\chi^2$ quite close that but they show important contributions both $f_0$ $a_0^0$ mesons weaker role $\rho^+$ mesons.