Ground state of small mixed helium and spin-polarized tritium clusters: a quantum Monte Carlo stud

Abstract

We report results for the ground-state energy and structural properties of small ${}^4$He-T$\downarrow$ clusters consisting of up to 4 T$\downarrow$ and 8 ${}^4$He atoms. These results have been obtained using very well-known ${}^4$He-${}^4$He and T$\downarrow$-T$\downarrow$ interaction potentials and several models for the ${}^4$He-T$\downarrow$ interatomic potential. All the calculations have been performed with variational and diffusion Monte Carlo methods. It takes at least three atoms to form a mixed bound state. In particular, for small clusters the binding energies are significantly affected by the precise form of the ${}^4$He-T$\downarrow$ interatomic potential but the stability limits remain unchanged. The only exception is the ${}^4$He${}_2$T$\downarrow$ trimer whose stability in the case of the weakest ${}^4$He-T$\downarrow$ interaction potential is uncertain, while it seems stable for other potentials. The mixed trimer ${}^4$He(T$\downarrow$)${}_2$, a candidate for Borromean state, is not bound. All other studied clusters are stable. Some of the weakest bound clusters can be classified as quantum halos, as a consequence of having high probability of being in a classically forbidden region.

20 pages, accepted for publication in J. Chem. Phys

References in corpus (11)

• Observation of an Efimov spectrum in an atomic system
• Collisional stability of a three-component degenerate Fermi gas
• Three-body recombination in a three-state Fermi gas with widely tunable interactions
• Observation of universality in ultracold 7Li three-body recombination
• Evidence for Universal Four-Body States Tied to an Efimov Trimer
• Observation of heteronuclear atomic Efimov resonances
• Weakly Bound Cluster States of Efimov Character
• Energetics and structural properties of three-dimensional bosonic clusters near threshold
• Universality of Brunnian ($N$-body Borromean) four and five-body systems
• Quantum Monte Carlo simulation of spin-polarized tritium
• Quantum Monte Carlo study of small pure and mixed spin-polarized tritium clusters

Cited by in corpus (6)

• Universality in molecular halo clusters
• Elusive structure of helium trimers
• One Dimensional 1H, 2H and 3H
• Van der Waals five-body size-energy universality
• Hyperspherical approach to atom--dimer collision with the Jacobi boundary condition
• Spin-polarized hydrogen adsorbed on the surface of superfluid 4He