The (extended) lowest order constrained variational ((E) LOCV) method was used to calculate the ground state energy of liquid helium 3 (3He) droplets at zero temperature. Different types of density distribution profiles, such as the Gaussian, the Quasi-Gaussian and the Woods-Saxon were used. It was shown that at least, on average, near 20 3He atoms are needed to get the bound state for 3He liquid droplet. Depending on the choice of the density profiles and the atomic radius of 3He, the above estimate can increase to 300. Our calculated ground state energy and the number of atoms in liquid 3He droplet were compared with those of Variational Monte Carlo (VMC) method, Diffusion Monte Carlo (DMC) method and Density Functional Theory (DFT), for which a reasonable agreement was found.The (extended) lowest order constrained variational ((E) LOCV) method was used to calculate the ground state energy of liquid helium 3 (3He) droplets at zero temperature. Different types of density distribution profiles, such as the Gaussian, the Quasi-Gaussian and the Woods-Saxon were used. It was shown that at least, on average, near 20 3He atoms are needed to get the bound state for 3He liquid droplet. Depending on the choice of the density profiles and the atomic radius of 3He, the above estimate can increase to 300. Our calculated ground state energy and the number of atoms in liquid 3He droplet were compared with those of Variational Monte Carlo (VMC) method, Diffusion Monte Carlo (DMC) method and Density Functional Theory (DFT), for which a reasonable agreement was found.

Iranian Journal of Physics ResearchJun 15, 20120 citations

Hydrogen-Like Atoms

Shu Hotta

Springer eBooksJan 1, 20201 citation

Hydrogen-like Atoms

WORLD SCIENTIFIC eBooksFeb 6, 20240 citations

3He impurity in a Bose-Einstein condensate

P. Capuzzi, E. Susana Hernández, M. Barranco

We analyze a configuration consisting of a ${}^{3}\mathrm{He}$ droplet inmersed in a Bose-Einstein condensate at $T\ensuremath{\approx}0.$ We investigate the stationary density and oscillations of the condensate, as well as the dynamics of the droplet in the frame of a simple model. Our paper takes into account the actual interaction potential between the ${}^{3}\mathrm{He}$ and condensate atoms and reveals the stability of the dynamics of a small ${}^{3}\mathrm{He}$ droplet inside the condensate.We analyze a configuration consisting of a ${}^{3}\mathrm{He}$ droplet inmersed in a Bose-Einstein condensate at $T\ensuremath{\approx}0.$ We investigate the stationary density and oscillations of the condensate, as well as the dynamics of the droplet in the frame of a simple model. Our paper takes into account the actual interaction potential between the ${}^{3}\mathrm{He}$ and condensate atoms and reveals the stability of the dynamics of a small ${}^{3}\mathrm{He}$ droplet inside the condensate.

Physical Review AJul 13, 20005 citations

Structure and Stability of 3He Droplets

M. Barranco, Jesús Navarro, A. Poves

We have studied the structure of ${}^{3}\mathrm{He}$ droplets at zero temperature using a density functional approach plus a configuration interaction calculation in an harmonic oscillator major shell. The most salient feature of open shell drops is that the valence atoms couple their spins to the maximum value compatible with Pauli's principle, building a large magnetic moment. We have determined that 29 atoms constitute the smallest self-bound droplet.We have studied the structure of ${}^{3}\mathrm{He}$ droplets at zero temperature using a density functional approach plus a configuration interaction calculation in an harmonic oscillator major shell. The most salient feature of open shell drops is that the valence atoms couple their spins to the maximum value compatible with Pauli's principle, building a large magnetic moment. We have determined that 29 atoms constitute the smallest self-bound droplet.

Physical Review LettersJun 23, 199750 citations

Hydrogen-Like Atoms

Shu Hotta

Springer eBooksJan 1, 20230 citations

We analyze a configuration consisting of a

{}^{3}\mathrm{He}

droplet inmersed in a Bose-Einstein condensate at $T\ensuremath{\approx}0.$ We investigate the stationary density and oscillations of the condensate, as well as the dynamics of the droplet in the frame of a simple model. Our paper takes into account the actual interaction potential between the

{}^{3}\mathrm{He}

and condensate atoms and reveals the stability of the dynamics of a small

{}^{3}\mathrm{He}

droplet inside the condensate.

We have studied the structure of

{}^{3}\mathrm{He}

droplets at zero temperature using a density functional approach plus a configuration interaction calculation in an harmonic oscillator major shell. The most salient feature of open shell drops is that the valence atoms couple their spins to the maximum value compatible with Pauli's principle, building a large magnetic moment. We have determined that 29 atoms constitute the smallest self-bound droplet.