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As a physically motivated and computationally simple model for cold atomicand molecular collisions, the multichannel quantum defect theory (MQDT) withframe transformation (FT) formalism provides an analytical treatment ofscattering resonances in an arbitrary partial wave between alkali-metal atoms,leading to the experimental observation of $p-$ and $d-$wave resonances.However, the inconsistency of quantum defects for describing scatteringresonances shows up when compared with experiments. Here, with twoheteronuclear atoms in the ground state of an optical tweezer, the energydependence of quantum defects is obviously revealed by comparing the measureds-wave scattering length with the prediction of MQDT-FT. By dividing thequantum defects into energy sensitive and insensitive categories, theinconsistency is ultimately removed while retaining the analytic structure ofMQDT-FT. This study represents a significant improvement in the analyticalMQDT-FT and demonstrates that a clean two-particle system is valuable to thetest of collisional physics.

Revealing Energy Dependence of Quantum Defects via Two Heteronuclear Atoms in an Optical Tweezer