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The production cross sections of superheavy nuclei with charge numbers$114-117$ are predicted in the $(5-9)n$-evaporation channels of the$^{48}$Ca-induced complete fusion reactions for future experiments. Theestimates of synthesis capabilities are based on a uniform and consistent setof input nuclear data provided by the multidimensional macroscopic-microscopicapproach. The contributions of various factors to the final production crosssection are discussed. As shown, the specific interplay between survival andfusion probabilities unexpectedly leads to a relatively slow decline of thetotal cross-sections with increasing excitation energy. This effect issupported by a favorable arrangement of fission barriers protecting thecompound nucleus against splitting concerning energetic thresholds for theemission of successive neutrons. In particular, the probabilities of theformation of superheavy nuclei in the $5n$-, $6n$-, and in some cases even in$7n$-evaporation channels are still promising. This may offer a new opportunityfor the future synthesis of unknown neutron-deficient superheavy isotopes.

The decline rate of the production cross-section of superheavy nuclei with $Z=114-117$ at high excitation energies