Model-independent mass determination of near-threshold states from short-range production

We propose a novel observable for the precision measurements of a wide class of near-threshold dimer states: the short-range production rate of a dimer–spectator two-body system, composed of the given near-threshold state and one of its constituents. Within the framework of nonrelativistic effective field theory, these production rates exhibit characteristic line shapes for the specific partial wave and reach a model-independent minimum. This feature enables a precise extraction of their masses from experimental data, provided that the line shape can be resolved with sufficient accuracy. Applying this novel method to both the T b b ¯ 1 ( 10610 ) B and T b b ¯ 1 ( 10650 ) B * systems allows for a precise determination of the binding energy δ of the T b b ¯ 1 ( 10610 ) and T b b ¯ 1 ( 10650 ) via the relation of δ = − E dip exp / 0.1983 once the respective dip position E dip exp is experimentally identified.