From atoms to nuclei, quarks and bejond...

Latest Results for Few-Body Systems

30 January 2025

• Influence of Position-Dependent Effective Mass on One-Dimensional Bose-Einstein Condensates Using the Von Roos Approach

  Abstract

  In this paper, we study quantum droplets in one dimension under the influence of spacetime curvature by redefining the momentum operator, resulting in a maximum length and a minimum momentum, consistent with anti-de Sitter space (AdS). By examining this effect through the \(\alpha \) parameter on the exact solution of free quantum droplets, we found that the relationship between the number of atoms and the chemical potential differs from the ordinary case. Additionally, we discovered that the flat-top shape can disappear and transform into a Gaussian shape in the presence of the maximum length (minimum momentum). Moreover, we found that the interaction of quantum droplets with spacetime curvature causes them to have a larger size. We also studied this effect on the variational solution via Gaussian ansatz for small droplets, we concluded that \(\alpha \) decreases the stability and self-localisation of the quantum droplets.

• Correction: Tunnelling of a Composite Particle in Presence of a Magnetic Field
• Polarizabilities of Negatively Charged Helium-Like Ions with Exponential-Cosine-Screened Coulomb Potentials

  Abstract

  We investigate the multipole polarizabilities of negatively charged helium-like ions interacting with exponential-cosine-screened Coulomb potentials using correlated exponential wave functions. The dynamic dipole and quadrupole polarizabilities of negatively charged helium-like ions \(^{\mathrm {\infty }}\) H \(^{\mathrm {-}}\) , \(^{\textrm{1}}\) H \(^{\mathrm {-}}\) , D \(^{\mathrm {-}}\) , T \(^{\mathrm {-}}\) , Mu \(^{\mathrm {-}}\) , Pi \(^{\mathrm {- }}\) are presented as functions of screening parameter. The static dipole and quadrupole polarizabilities, and the ground state energies are presented in terms of nuclear mass and screening parameter.