We have studied the liquid-solid (L-S) phase transition of 4He confined in nanoporous Gelsil glass that has interconnected nanopores of 2.5-nm diameter. The L-S boundary is determined by a series of measurements of pressure versus temperature along isochores and the rate of temperature change during slow cooling and warming in a semi-adiabatic condition. Below 1K, the freezing pressure is elevated by 1.2 MPa from the bulk freezing pressure, and appears to be independent of temperature. The T-independent freezing pressure strongly suggests the existence of the localized Bose-Einstein condensation state.
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