Semi-inclusive hadron+jet measurement in $\rm Ru$+$\rm Ru$ and $\rm Zr$+$\rm Zr$ collisions at $\sqrt {s_{\rm NN}}=$200 GeV with the STAR experiment

Jet quenching arises from jet-medium interactions in the Quark-Gluon Plasma (QGP) created in high-energy collisions of large nuclei, such as Au or Pb. The study of jet quenching in small systems, e.g. p+A collisions, has generated great interest in the community due to its relatively smaller initial energy density, temperature, and size of the created medium. Isobar collisions ($\rm Ru^{44}_{96}$+$\rm Ru^{44}_{96}$ and $\rm Zr^{40}_{96}$+$\rm Zr^{40}_{96}$) at RHIC can also be used to study jet quenching in small systems. Semi-inclusive distributions of charged-particle jets recoiling from a high transverse-momentum hadron trigger (h+jet) show a suppression in central relative to peripheral events in $\rm Au$+$\rm Au$ collisions at $\sqrt {s_{\rm NN}}=$ 200 GeV at RHIC. Utilizing the mixed-event technique to correct for uncorrelated combinatorial background present in heavy-ion collisions, we will present our preliminary measurements of uncorrected semi-inclusive h+jet for different jet radii using anti-k$_{T}$ jet reconstruction algorithm in these isobar collisions.