Four-Boson Continuous Scale Symmetry Breaking

Author(s)

Frederico, T. ^[1] ; de Paula, W. ^[1] ; Delfino, A. ^[2] ; Yamashita, M. T. ^[3] ; Tomio, Lauro ^[3]

Affiliation

^[1] Inst Tecnol Aeronaut, DCTA, BR-12228900 Sao Jose Dos Campos - Brazil

^[2] Univ Fed Fluminense, Inst Fis, BR-24210900 Niteroi, RJ - Brazil

^[3] Univ Estadual Paulista, Inst Fis Teor, BR-01405900 Sao Paulo - Brazil

• Document type: Journal article
• Source: FEW-BODY SYSTEMS; v. 60, n. 2 JUN 2019.
• Web of Science Citations: 0

Abstract

We show that the homogeneous Faddeev-Yakubovski formalism for the bound state of four identical bosons with zero-range interaction in the unitary limit (infinite two-body scattering length) presents scale invariance in the ultraviolet (UV) region. By resorting to an approximate form of the integral equations in the UV limit (considering exclusively an attractive pairwise zero-range interaction), we demonstrate that a pair of log-periodic solutions, with a cycle distinct from the three-boson one, exists with a four-body scale required to define the phase between them. (AU)

• FAPESP's process: 16/01816-2 - Dimensional transition in few-atom systems
• Grantee: Marcelo Takeshi Yamashita
• Support type: Regular Research 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 type: Research Projects - Thematic Grants