Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

Few-Body Systems

A Theoretical Study of Pure and Mixed Spin-Polarized Tritium and Helium Triatomic Systems Using Hyperspherical Coordinates

Hiroya Suno

Published Mar 26, 2014• 5 citations
Publisher
DOI
10.1007/s00601-014-0872-9

Related papers

Theoretical Study of Triatomic Systems Involving Helium Atoms

Hiroya Suno, Emiko Hiyama, M. Kamimura

Few-Body Systems•Apr 8, 2013•14 citations

Transition temperature to the Bose-Einstein condensation of spin polarized tritium, hydrogen, and 4He gases using the second virial coefficient

B.R. Joudeh

Chinese Journal of Physics•Dec 12, 2024•0 citations

Osnovno stanje klastera helija i spin-polariziranog vodika

Ivana Bešlić

The ground-state of the helium and spin-polarized hydrogen quantum clusters is investigated in this work using Quantum Monte Carlo methods, as well as the spin-polarized tritium (T↓) liquid. For small mixed helium clusters consisting of up to eight helium atoms the ground-state energy and structure have been obtained. Stability of the 3He4 4He3 cluster, which was previously considered unstable, is predicted. It is confirmed that tritium trimer (T↓)3 is an example of Borromean state. For pure large spin-polarized tritium clusters consisting of up to 320 atoms the ground-state energy is obtained. Stability limits have been investigated for small mixed (T↓)n(D↓)m clusters, for m ≥ 2 i n + m ≤ 10. Especially, it has been shown that all clusters (T↓)ND↓ are stable for N ≥ 3. It is also shown that even 60 T↓ atoms are not enough to form stable cluster (T↓)60H↓. Equation of state, spinodal density, energy per particle at the equilibrium density, unit radius and surface tension of the T↓ liquid have been determined using results obtained in the simulations of liquid phase.

•Jul 15, 2010•0 citations

Spin-polarized helium

Glen McHale

WORLD SCIENTIFIC eBooks•Jan 1, 1989•0 citations

Geometrical structure of helium triatomic systems: comparison with the neon trimer

Hiroya Suno

Abstract The structural properties of helium triatomic systems are studied using hyperspherical coordinates. A slow variable discretization approach is adopted to solve the three-body Schrödinger equation, in which the Schrödinger equation in hyperangular coordinates is solved using basis splines at a series of fixed FEM-DVR (finite-element methods–discrete variable representation) hyperradii. We focus on studying the geometrical structure of the 4 He 3 and 3 He 4 He 2 triatomic systems. Using the bound state wave functions obtained, we calculate and analyze the one-dimensional pair distribution and angle distribution functions as well as the two-dimensional angle–angle distributions. All these bound states are found to exhibit such a floppy nature that classifying them into particular geometrical shapes does not appear to be sensible. A comparison will be made with some bound states of the neon trimer, which are expected to be more tightly bound.

Journal of Physics B Atomic Molecular and Optical Physics•Nov 24, 2015•11 citations

Exchange interactions and absorption isotherms of spin-polarized atomic hydrogen on helium

Victor V. Goldman, Isaac F. Silvera

Physica B+C•Aug 1, 1981•3 citations
The ground-state of the helium and spin-polarized hydrogen quantum clusters is investigated in this work using Quantum Monte Carlo methods, as well as the spin-polarized tritium (T↓) liquid. For small mixed helium clusters consisting of up to eight helium atoms the ground-state energy and structure have been obtained. Stability of the 3He4 4He3 cluster, which was previously considered unstable, is predicted. It is confirmed that tritium trimer (T↓)3 is an example of Borromean state. For pure large spin-polarized tritium clusters consisting of up to 320 atoms the ground-state energy is obtained. Stability limits have been investigated for small mixed (T↓)n(D↓)m clusters, for m ≥ 2 i n + m ≤ 10. Especially, it has been shown that all clusters (T↓)ND↓ are stable for N ≥ 3. It is also shown that even 60 T↓ atoms are not enough to form stable cluster (T↓)60H↓. Equation of state, spinodal density, energy per particle at the equilibrium density, unit radius and surface tension of the T↓ liquid have been determined using results obtained in the simulations of liquid phase.
Abstract The structural properties of helium triatomic systems are studied using hyperspherical coordinates. A slow variable discretization approach is adopted to solve the three-body Schrödinger equation, in which the Schrödinger equation in hyperangular coordinates is solved using basis splines at a series of fixed FEM-DVR (finite-element methods–discrete variable representation) hyperradii. We focus on studying the geometrical structure of the 4 He 3 and 3 He 4 He 2 triatomic systems. Using the bound state wave functions obtained, we calculate and analyze the one-dimensional pair distribution and angle distribution functions as well as the two-dimensional angle–angle distributions. All these bound states are found to exhibit such a floppy nature that classifying them into particular geometrical shapes does not appear to be sensible. A comparison will be made with some bound states of the neon trimer, which are expected to be more tightly bound.