Study of Φ → K(k)over-bar and K_s⁰ - K_l⁰ Asymmetry in the Amplitude Analysis of D_s⁺ → K_s⁰k_l⁰π⁺ Decays

Using e(+)e(-) annihilation data corresponding to a total integrated luminosity of 7.33 fb(-1) collected at center-of-mass energies between 4.128 and 4.226 GeV with the BESIII detector, we provide the first amplitude analysis and absolute branching fraction measurement of the hadronic decay Dthorns. K0SK0Lpthorn. The branching fraction of D-s(+) -> (KSKL0)-K-0 pi(+) is determined to be (1.86 +/- 0.06(stat) +/- 0.03(syst))%. Combining the B [D-s(+) -> phi((KSKL0)-K-0)pi(+) ] obtained in this Letter and the world average of B[D-s(+) ->phi (-> K+K-)pi(+)], we measure the relative branching fraction B( phi -> (KSKL0)-K-0)/B( phi -> K+K- ) = (0.593 +/- 0.023(stat) +/- 0.014(syst +/-) 0.016(phi pi)), where the third error is due to the uncertainty of the B(D-s(+) -> phi pi(+), phi -> K+K-). Our result deviates from the Particle Data Group value by more than 3 sigma. Furthermore, the asymmetry of the branching fractions of D-s(+) -> (KSK)-K-0*(892)(+) and D-s(+) -> (KLK)-K-0*(892)(+), ({B[D-s(+) -> (KSK)-K-0*(892)(+)] -B[D-s(+) -> (KLK)-K-0*(892)(+)]}/{B[D-s(+) -> (KSK)-K-0*(892)(+)] + B[D-s(+) -> (KLK)-K-0*(892)(+)]}), is determined to be (-14.5 +/- 5.1(stat) +/- 1.8(syst))%.