3 years ago

On the bosonic atoms.

M. Ya. Amusia, L. V. Chernysheva

We investigate here ground state properties of atoms, in which substitute fermions -- electrons by bosons, e.g. $\pi $ - meson. We perform some calculations in the frame of modified Hartree-Fock (HF) equation.

The modification takes into account the symmetry, instead of anti-symmetry of the two-identical bosons wave function. The modified HF approach thus enhances (doubles) the effect of self-action for the boson case. Therefore, we accordingly modify the HF equations by eliminating from them the self-action terms artificially.

We found the binding energy of $\pi $ - meson negative ions of $\pi $ - meson atoms and the number of extra bound $\pi $ - meson increases with the growth of nuclear charge Z. For e.g. for Xe even four times charged negative ion exists.

As an example of a simple process with a pion atom, we consider photoionization that differs essentially from that for electron atoms. Namely, it is not monotonic decreasing from the threshold but has a prominent maximum above threshold instead. We study also elastic scattering of pions by $\pi $ - meson atoms.

Publisher URL: http://arxiv.org/abs/1711.01415

DOI: arXiv:1711.01415v1

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