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Size-energy universality in van der Waals self-bound systems

A universal relationship between scaled size and scaled energy was explored in few-body systems[1, 2, 3]. Ground-state self-binding energies were obtained by the diffusion Monte Carlo method. Obtained energies support generalized Tjon lines. Structural properties were extracted by pure estimators[4], which proved successful in evaluating theoretical predictions of distribution functions[5] in comparison with the experimental Coulomb explosion imaging results[6, 7]. Strengthening the inter-particle interaction, the exploration was extended from halo systems, which are extremely weakly bound and prefer to be in classically forbidden regions, to classical systems. Universal size-energy law has been found for a homogeneous system of particles when pair- potentials decay predominantly with r−6. The law is also valid for mixed systems with homogeneous- like structure. References 1. P. Stipanović, L. Vranjš Markić, I. Bešlić and J. Boronat, Phys. Rev. Lett. 113, 253401 (2014). 2. P. Stipanović, L. Vranješ Markić, A. Gudyma and J. Boronat, Scientific Reports 9, 6289 (2019). 3. P. Stipanović, L. Vranješ Markić and J. Boronat, Scientific Reports (2022). DOI: 10.1038/s41598-022-13630-2 4. J. Casulleras and J. Boronat, Phys. Rev. B 52, 3654 (1995). 5. P. Stipanović, L. Vranješ Markić and J. Boronat, J. Phys. B: At. Mol. Opt. Phys. 49, 185101 (2016). 6. J. Voigtsberger et al., Nature Communications 5, 5765 (2014). 7. M. Kunitski et al., Science 348, 551 (2015).

size-energy universality, few-body, van der Waals systems, atomic clusters

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