A stability chart of mixed ${}^{4}\mathrm{He}$ and ${}^{3}\mathrm{He}$ clusters has been obtained by means of the diffusion Monte Carlo method, using both the Aziz HFD-B and the Tang-Toennies-Yiu atom-atom interaction. The investigated clusters contain up to eight ${}^{4}\mathrm{He}$ atoms and up to 20 ${}^{3}\mathrm{He}$ atoms. One single ${}^{4}\mathrm{He}$ binds 20 ${}^{3}\mathrm{He}$ atoms, and two ${}^{4}\mathrm{He}$ bind 1, 2, 8, and more than 14 ${}^{3}\mathrm{He}$ atoms. All clusters with three or more ${}^{4}\mathrm{He}$ atoms are bound, although the combinations ${}^{4}{\mathrm{He}}_{3}^{3}{\mathrm{He}}_{9,10,11}$ and ${}^{4}{\mathrm{He}}_{4}^{3}{\mathrm{He}}_{9}$ are metastable. Clusters with 2, 8, and 20 ${}^{3}\mathrm{He}$ atoms are particularly stable and define magic ${}^{3}\mathrm{He}$ numbers.A stability chart of mixed ${}^{4}\mathrm{He}$ and ${}^{3}\mathrm{He}$ clusters has been obtained by means of the diffusion Monte Carlo method, using both the Aziz HFD-B and the Tang-Toennies-Yiu atom-atom interaction. The investigated clusters contain up to eight ${}^{4}\mathrm{He}$ atoms and up to 20 ${}^{3}\mathrm{He}$ atoms. One single ${}^{4}\mathrm{He}$ binds 20 ${}^{3}\mathrm{He}$ atoms, and two ${}^{4}\mathrm{He}$ bind 1, 2, 8, and more than 14 ${}^{3}\mathrm{He}$ atoms. All clusters with three or more ${}^{4}\mathrm{He}$ atoms are bound, although the combinations ${}^{4}{\mathrm{He}}_{3}^{3}{\mathrm{He}}_{9,10,11}$ and ${}^{4}{\mathrm{He}}_{4}^{3}{\mathrm{He}}_{9}$ are metastable. Clusters with 2, 8, and 20 ${}^{3}\mathrm{He}$ atoms are particularly stable and define magic ${}^{3}\mathrm{He}$ numbers.

Physical Review ANov 14, 200314 citations

Stability of (He2HeM)-He-3-He-4 and (He3HeM)-He-3-He-4 L=0, 1 clusters

Dario Bressanini, Gabriele Morosi

We have studied the stability of mixed 3He/4He clusters in L 1⁄4 0 \nand L 1⁄4 1 states by the diffusion Monte Carlo method, employing the Tang-Toennies-Yiu (TTY) He-He potential. The clusters 3He4HeM (L 1⁄4 0, S 1⁄4 12) and 3He2 4HeM (L 1⁄4 0, S 1⁄4 0) are stable for M >1, while to bind two 3He in a triplet state the minimum number of 4He is four. Considering clusters with three 3He, 3He3 4He4 is the smallest stable system in the L 1⁄4 1 state, while 3He3 4He8 is the smallest stable system in the L 1⁄4 0 state.We have studied the stability of mixed 3He/4He clusters in L 1⁄4 0 \nand L 1⁄4 1 states by the diffusion Monte Carlo method, employing the Tang-Toennies-Yiu (TTY) He-He potential. The clusters 3He4HeM (L 1⁄4 0, S 1⁄4 12) and 3He2 4HeM (L 1⁄4 0, S 1⁄4 0) are stable for M >1, while to bind two 3He in a triplet state the minimum number of 4He is four. Considering clusters with three 3He, 3He3 4He4 is the smallest stable system in the L 1⁄4 1 state, while 3He3 4He8 is the smallest stable system in the L 1⁄4 0 state.

Jan 1, 20040 citations

Theoretical Search for Shell Effects in4He Clusters

E. Sola, J. Casulleras, Jordi Boronat

Journal of Low Temperature PhysicsJan 1, 20047 citations

The spectra of mixed He3–He4 droplets

Stefano Fantoni, R. Guardiola, Jesús Navarro +1 more

The diffusion Monte Carlo technique is used to calculate and analyze the excitation spectrum of 3He atoms bound to a cluster of 4He atoms by using a previously determined optimum filling of single-fermion orbits with well-defined orbital angular momentum L, spin S, and parity quantum numbers. The study concentrates on the energies and shapes of the three kinds of states for which the fermionic part of the wave function is a single Slater determinant: maximum L or maximum S states within a given orbit, and fully polarized clusters. The picture that emerges is that of systems with strong shell effects, whose binding and excitation energies are essentially determined by averages over configuration at fixed number of particles and spin, i.e., by the monopole properties of an effective Hamiltonian.The diffusion Monte Carlo technique is used to calculate and analyze the excitation spectrum of 3He atoms bound to a cluster of 4He atoms by using a previously determined optimum filling of single-fermion orbits with well-defined orbital angular momentum L, spin S, and parity quantum numbers. The study concentrates on the energies and shapes of the three kinds of states for which the fermionic part of the wave function is a single Slater determinant: maximum L or maximum S states within a given orbit, and fully polarized clusters. The picture that emerges is that of systems with strong shell effects, whose binding and excitation energies are essentially determined by averages over configuration at fixed number of particles and spin, i.e., by the monopole properties of an effective Hamiltonian.

arXiv:physics/0505029The Journal of Chemical PhysicsAug 1, 20059 citations

A stability chart of mixed

{}^{4}\mathrm{He}

and

{}^{3}\mathrm{He}

clusters has been obtained by means of the diffusion Monte Carlo method, using both the Aziz HFD-B and the Tang-Toennies-Yiu atom-atom interaction. The investigated clusters contain up to eight

{}^{4}\mathrm{He}

atoms and up to 20

{}^{3}\mathrm{He}

atoms. One single

{}^{4}\mathrm{He}

binds 20

{}^{3}\mathrm{He}

atoms, and two

{}^{4}\mathrm{He}

bind 1, 2, 8, and more than 14

{}^{3}\mathrm{He}

atoms. All clusters with three or more

{}^{4}\mathrm{He}

atoms are bound, although the combinations

{}^{4}{\mathrm{He}}_{3}^{3}{\mathrm{He}}_{9,10,11}

and

{}^{4}{\mathrm{He}}_{4}^{3}{\mathrm{He}}_{9}

are metastable. Clusters with 2, 8, and 20

{}^{3}\mathrm{He}

atoms are particularly stable and define magic

{}^{3}\mathrm{He}

numbers.