Abstract
This paper extends a previous one which was applicable only to short range interactions. We study the relativistic field theory of a charged spin-zero boson field in the presence of the Coulomb field of a prescribed (nuclear) charge distribution. It is shown that for a sufficiently intense field the ground state is unstable against the formation of a Bose-Einstein condensate of negatively charged bosons, positively charged bosons escaping the system. When the effects of weak interaction are included, the instability occurs in a weaker field and positrons are emitted. A consistent quantum theory is formulated after the Coulomb interaction of the bosons is included. Properties of the condensate are examined in the limit of large condensate density, in a mean field approximation, which is also studied numerically. Possible implications concerning the existence of abnormally bound nuclei are presented.
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Klein, A., Rafelski, J.: Phys. Rev. D11, 300 (1975)
Bawin, M., Lavine, J. P.: Phys. Rev. D12, 1192 (1975)
Klein, A., Rafelski, J.: Phys. Rev. D12, 1194 (1975)
It should also be emphasized that only this case was studied by A.B. Migdal, Zh. Eksp. Teor. Fiz.61, 2209 (1971) [Sov. Phys.-JETP34, 1184 (1972)], the publication which stimulated much of the interest in pion condensation
Zel'dovich, Ya.B., Popov, V.S.: Usp. Fiz. Nauk105, 403 (1971). [Sov. Phys.-Usp.14, 673 (1972)]
Some of the results of this section have also been obtained independently by C. Goebel, private communication
Rafelski, J., Muller, B., Greiner, W.: Nucl. Phys. B68, 585 (1974)
Fulcher, L. P., Klein, A.: Ann. Phys. (N. Y.)84, 335 (1974)
For some theoretical considerations germane to the case (Z-Zcr)/Z≪1, see a forthcoming review by Rafelski, J., Fulcher, L. P., Klein, A., to be published in Physics Reports
Muller, B., Rafelski, J.: Phys. Rev. Letters34, 349 (1975) and to be published
Lee, T.D., Wick, G.C.: Phys. Rev. D9, 2291 (1974)
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Work performed under the auspices of the U.S. Energy Research and Development Administration
Supported through funds provided by Contract No. AT(11-1)-3071. Part of this work was done during the tenure of a John Simon Guggenheim Foundation Fellowship
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Klein, A., Rafelski, J. Bose condensation in supercritical external fields charged condensates. Z Physik A 284, 71–81 (1978). https://doi.org/10.1007/BF01433878
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DOI: https://doi.org/10.1007/BF01433878