The (E)LOCV Study of Liquid 3He Atoms in a Nanometer Tube

The bound state of He-3 atoms confined in a nanometer tube is studied in the framework of (extended) lowest order constrained variational ((E)LOCV) method. The Woods-Saxon (WS) density-profile is assumed from the center of tube towards its boundary, for the liquid helium 3 atoms distribution. It is found that the binding energy of liquid helium 3 per atom and unit length saturates at N = 6 (4) He-3 atoms with the nanometer tube radius of R similar or equal to 12.55 (9.13) angstrom in the frame work of LOCV (ELOCV) method. The corresponding saturation energy is about -1.35 (-1.67) degrees K, i.e., as expected, its lower in the ELOCV case. The density-profile distribution at saturation point and the comparison of present results with the others approaches are also discussed and a reasonable agreement is found.