| Popis: |
Universal relationship of scaled size and scaled energy, which was previously established for two- and three-body systems in their ground halo state, is examined for four-body systems. Four-body exact ground-state estimate of self-binding is obtained by the diffusion Monte Carlo method, while structural properties are extracted by pure estimators. Previously in the case of helium trimers, a similar approach enabled comparison of theoretically predicted structural properties with the most recent experimental results, which were obtained by Coulomb explosion imaging of diffracted helium clusters. A detailed study was performed in the halo region, where systems are extremely weakly bound and prefer more to be in classically forbidden regions. Strengthening the inter-particle interaction we extend the exploration all the way to classical systems. Different scaling length were tested and universal size-energy law has been found for homogeneous tetramers in the case of interaction potentials decaying predominantly as $r^{; ; -6}; ; $. The universal size-energy line is also applicable to mixed four-body systems, if their structure is homogeneous-like. |
