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Bulletin of Dubna International University for Nature Society and Man Series Natural and engineering sciences

INVESTIGATION OF THREE-ATOMIC CLUSTERS WITHIN FADDEEV EQUATIONS

Elena A. Kolganova, O. P. Klimenko, A. A. Korobitsin, Dmitri V. Fursaev, Vladimir Roudnev

Published Dec 24, 2019• 0 citations
Publisher

Abstract

The binding energies of 4He3 and 4He26Li three-atomic clusters were calculated within the differential Faddeev equations. Obtained results show that different methods provide similar results for different potential models. It is shown that the excited state energy of each system is close to it’s respective two-body threshold, which could indicate on the Efimov nature of the excited state of 4He26Li.

DOI
10.37005/1818-0744-2019-2-3-6

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The binding energies of 4He3 and 4He26Li three-atomic clusters were calculated within the differential Faddeev equations. Obtained results show that different methods provide similar results for different potential models. It is shown that the excited state energy of each system is close to it’s respective two-body threshold, which could indicate on the Efimov nature of the excited state of 4He26Li.
The system of three 4He atoms interacting through the intermolecular potential HFDHE2 is solved exactly within the Faddeev scheme. We find that the trimer has two bound states at E=−0.11 K and E=−0.16(−2) K, where the excited state shows the property of an Efimov state. It is overrun by the two-body fragmentation threshold for an artificially enhanced overall interaction strength. Uncertainties in the potential parameters, possibly combined with solvent effects, may allow a slightly weaker force, which supports a second Efimov state. In any case dynamical effects of the Efimov states will be the same whether it lies close to E=0 on the physical or unphysical sheet.