Abstract
We present here a complete reaction theory that incorporates the Pauli principle explicitly and is devoid of projection operators or matching radii. We provide explicit expression for widths, reduced widths and energy shift and proper relations between them. For a series of nearby overlapping resonances we develop explicit expressions showing that they cannot be, in general, considered as a series of non-interacting isolated resonances. The analysis indicates that the location of resonance energies are affected in the complex-rotation method and examine the situation when this could be neglected. Finally we examine the importance of including the Pauli principle for the calculation of auto-ionization widths of He-like atomic system.
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© 1992 Springer Science+Business Media New York
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Malik, F.B. (1992). A Reaction Theory and the Relation between Widths and Energy Shifts. In: Proto, A.N., Aliaga, J.L. (eds) Condensed Matter Theories. Condensed Matter Theories, vol 7. Springer, Boston, MA. https://doi.org/10.1007/978-1-4615-3352-8_2
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DOI: https://doi.org/10.1007/978-1-4615-3352-8_2
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