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Universal tetramer limit cycle at the unitarity limit

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Author(s):
Frederico, Tobias ; Gattobigio, Mario
Total Authors: 2
Document type: Journal article
Source: PHYSICAL REVIEW A; v. 108, n. 3, p. 6-pg., 2023-09-05.
Abstract

We investigate the appearance of a four-boson limit cycle in Hamiltonian systems at the unitarity limit. The model interaction incorporates two-, three-, and four-body short-range potentials, which allow us to disentangle the interwoven dynamics of three- and four-boson energy levels. Through numerical evidence, we observe a correlation between the energies of two successive universal tetramer levels for a fixed weakly bound trimer, which is found to be largely model independent. Interestingly, this correlation cycle is consistent with the findings of Hadizadeh et al. [Phys. Rev. Lett. 107, 135304 (2011)] using a zero-range model. (AU)

FAPESP's process: 19/07767-1 - Nuclear reactions with weakly-bound or cluster-structured radioactive and stable nuclei
Grantee:Leandro Romero Gasques
Support Opportunities: Research Projects - Thematic Grants
FAPESP's process: 17/05660-0 - Theoretical studies of the structure and reactions of exotic nuclei and many-body systems
Grantee:Brett Vern Carlson
Support Opportunities: Research Projects - Thematic Grants