Discrete scaling in non-integer dimensions

2024/02/16 by T. Frederico, R.M. Francisco, frederico, Tobias +7
Computer Science · #Advanced Clustering Algorithms Research #Neural Networks and Applications

paper · pdf · doi:10.48550/arxiv.2402.10792

Abstract

We explore the effect of a finite two-body energy in the discrete scale symmetry regime of two heavy bosonic impurities immersed in a light bosonic system. By means of the Born-Oppenheimer approximation in non-integer dimensions (D), we discuss the effective potential of the heavy-particles Schrodinger equation. We study how including the two-body energy in the effective potential changes the light-particles wave function and the ratio between successive Efimov states. We present the limit cycles associated with correlation between the energy of successive levels for the three and four-body systems. Our study is exemplified by considering a system composed of N-bosons, namely two Rubidium atoms interacting with N-2 Lithium ones (⁷Li_N-2-⁸⁷Rb₂), which represent compounds of current experimental interest.

Related

• Two-heavy impurities immersed in squeezed light-boson systems
• Bosonic drops with two- and three-body interactions close to the unitary limit
• Born-Oppenheimer study of two-component few-particle systems under one-dimensional confinement
• Interwoven limit cycles in the spectra of mass imbalanced many-boson system
• Dimensional scaling and renormalization