The ${}^4$He tetramer ground state in the Faddeev-Yakubovsky differential equations formalism

Abstract

The characteristics of the four ${}^4$He atom cluster are investigated using the differential equations for Yakubovsky components. Binding energy, mean-square radius and density function are calculated for the ground state.The spatial properties of the cluster and its subsystems are studied.

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Cited by in corpus (8)

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• Description of ${}^4$He tetramer bound and scattering states
• Ultra-low energy elastic scattering in a system of three He atoms
• Binding and structure of tetramers in the scaling limit
• Benchmark helium dimer and trimer calculations with a public few-body code
• Progress in methods to solve the Faddeev and Yakubovsky differential equations
• Four-body bound states in momentum space: the Yakubovsky approach without two-body $t-$matrices
• Strong binding and shrinkage of single and double kbar~nuclear systems (K^-pp, K^-ppn, K^-K^-p and K^-K^-pp) predicted by Faddeev-Yakubovsky calculations