Effects of extended uncertainty principle on the relativistic Coulomb potential

The relativistic bound-state energy spectrum and the wave functions for the Coulomb potential are studied for de Sitter and anti-de Sitter spaces in the context of the extended uncertainty principle. Klein–Gordon and Dirac equations are solved analytically to obtain the results. The electron energies of hydrogen-like atoms are studied numerically.

Low-energy dipole response of exotic nuclei

The electric dipole response of neutron-rich nuclei is discussed from an experimental perspective using selected examples. After introducing the main experimental method, which is relativistic Coulomb excitation in conjunction with invariant-mass spectroscopy, the response of neutron-rich nuclei is discussed separately for light halo nuclei and heavier neutron-rich nuclei. Finally, the perspective for constraining the equation of state of neutron-rich matter close to saturation density from measurements of the dipole response of neutron-rich nuclei is discussed.