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Phosphorus (P) is one of the important elements for the formation of life andplays a crucial role in several biochemical processes. Recent spectral linesurveys have confirmed the existence of P-bearing molecules, especially PN andPO, in the star-formation regions, but their formation mechanisms are poorlyunderstood. The P-bearing molecule phosphorus nitride (PN) is detected inseveral star-forming regions, but this molecule has been poorly studied at highgas densities ($\geq$10$^{6}$ cm$^{-3}$) hot molecular cores. In this article,we present the detection of the rotational emission line of PN with transitionJ = 3$-$2 towards the hot molecular cores G10.47+0.03 and G31.41+0.31, usingthe Atacama Compact Array (ACA). The estimated column densities of PN forG10.47+0.03 and G31.41+0.31 using the local thermodynamic equilibrium (LTE)model are (3.60$\pm$0.2)$\times$10$^{13}$ cm$^{-2}$ and(9.10$\pm$0.1)$\times$10$^{12}$ cm$^{-2}$ with an excitation temperature of150$\pm$25 K. The fractional abundance of PN relative to H$_{2}$ is2.76$\times$10$^{-10}$ for G10.47+0.03 and 5.68$\times$10$^{-11}$ forG31.41+0.031. We compute the two-phase warm-up chemical model of PN tounderstand the chemical evolution in the environment of hot molecular cores.After chemical modelling, we claim that PN is created in the gas phase via theneutral-neutral reaction between PO and N in the warm-up stage. Similarly, PNis destroyed via the ion-neutral reaction between H$_{3}$O$^{+}$ and PN.

ACA observation and chemical modelling of phosphorus nitride (PN) towards the hot molecular cores G10.47+0.03 and G31.41+0.31