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In this work, we investigate the connection and compatibility between $\nu n\rightarrow \bar{\nu} \bar{n}$ reactions and $n$-$\bar{n}$ oscillations basedon the $SU(3)_c \times SU(2)_L \times U(1)$ symmetry model with additionalHiggs triplets. We explore the possibility that the scattering process $\nun\rightarrow \bar{\nu}\bar{n}$ produced by low-energy solar neutrinos givesrise to an unavoidable background in the measurements of $n$-$\bar{n}$oscillations. We focus on two different scenarios, depending on whether the$(B-L)$ symmetry could be broken. We analyze the interplay of the variousconstraints on the two processes and their observable consequences. In thescenario where both $(B+L)$ and $(B-L)$ could be broken, we point out that ifall the constraints, mainly arising from the type-II seesaw mechanism, aresatisfied, the parameter space would be severely constrained. In this case,although the masses of the Higgs triplet bosons could be within the reach of adirect detection at the LHC or future high-energy experiments, the predicted$n$-$\bar{n}$ oscillation times would be completely beyond the detectableregions of the present experiments. In both scenarios, the present experimentscannot distinguish a $\nu n \rightarrow \bar{\nu} \bar{n}$ reaction event froma $n$-$\bar{n}$ oscillation event within the accessible energy range.Nevertheless, if any of the two processes is detected, there could be signalassociated with new physics beyond the Standard Model.

Connection between $\nu n \rightarrow \bar{\nu} \bar{n}$ reactions and $n$-$\bar{n}$ oscillations via additional Higgs triplets