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We examine whether protons and deuterons in the crystal ofKH$_{0.76}$D$_{0.24}$CO$_3$ at 300 K are particles or matter waves. The neutronscattering function measured over a broad range of reciprocal space reveals theenhanced diffraction pattern anticipated for antisymmetrized macroscopic statesfor protons (fermions). These features exclude a statistical distribution ofprotons and deuterons. Raman spectra are consistent with a mixture of KHCO$_3$and KDCO$_3$ sublattices whose isomorphous structures are independent of theisotope content. We propose a theoretical framework for decoherence-free protonand deuteron states.

Evidence of macroscopically entangled protons in a mixed isotope crystal of KH$_{p}$D$_{1-p}$CO$_3$