Hydrogen-like atoms on the surface of neutron stars - Intense magnetic field effects

Mathematics

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Hydrogen Atoms, Isoelectronic Sequence, Neutron Stars, Relativistic Effects, Stellar Magnetic Fields, Transition Probabilities, Hamiltonian Functions, Matrices (Mathematics), Scaling Laws, White Dwarf Stars

Scientific paper

It is known that very strong (greater than 1-TG) magnetic fields exist on the surface of some neutron stars. The properties of atoms in fields of this nature are considerably different from those of atoms in field-free regions. Because of the mixing of spherical and cylindrical symmetries, the analytical solution to the problem of a hydrogen atom in a uniform magnetic field is impossible to obtain. In this work, a variational wave function is used to describe the properties of hydrogen like atoms in intense magnetic fields including first-order relativistic effects. Special attention is given to the transition matrix elements for the 2p(0) - 1s(0) transition in Fe XXVI.

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