We study the nuclear compositions in the central region of a core-collapse supernova, assuming the existence of dineutrons (${}^{2}n$) and tetraneutrons (${}^{4}n$). At 100 ms after core bounce, ${}^{2}n$ and ${}^{4}n$ are more abundant than deuterons within radii of approximately 100  and 50 km, respectively. Compared to the model ignoring the existence of ${}^{2}n$ and ${}^{4}n$, the mass fraction of neutrons up to a radius of 100 km reduces, while the mass fractions of protons, deuterons, and ${}^4\mathrm{He}$ increase. Due to the uncertainties in the properties of ${}^{2}n$ and ${}^{4}n$, we investigate the influence of their binding energies on the nuclear composition. We find the binding energy of ${}^{2}n$ has only a modest effect on the overall composition, except for its own mass fraction, while that of ${}^{4}n$ has a negligible impact.

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• Nuclear astrophysics
• Nuclear matter
• Nuclear physics of explosive environments