Nonlinear Schrödinger equation solitons on quantum droplets

Authors

A. Ludu, Embry Riddle Aeronautical UniversityFollow
A.S. Carstea, National Institute of Physics and Nuclear Engineering

Submitting Campus

Daytona Beach

Department

Mathematics

Document Type

Article

Publication/Presentation Date

7-16-2021

Abstract/Description

Irrotational flow of a spherical thin liquid layer surrounding a rigid core is described using the defocusing nonlinear Schrödinger equation. Accordingly, azimuthal moving nonlinear waves are modeled by periodic dark solitons expressed by elliptic functions. In the quantum regime the algebraic Bethe ansatz is used in order to capture the energy levels of such motions, which we expect to be relevant for the dynamics of the nuclear clusters in deformed heavy nuclei surface modeled by quantum liquid drops. In order to validate the model we match our theoretical energy spectra with experimental results on energy, angular momentum, and parity for α-particle clustering nuclei.

Publication Title

Physical Review Research

DOI

https://doi.org/10.1103/PhysRevResearch.3.033054

Publisher

American Physical Society

Scholarly Commons Citation

A. S. Carstea and A. Ludu, Phys. Rev. Research 3, 033054