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• W2047896512 endingPage "1871" @default.
• W2047896512 startingPage "1859" @default.
• W2047896512 abstract "Stationary bounds are obtained on the $K$ matrix, which is characterized by eigenphase shifts and mixing parameters that describe the scattering process. It is assumed that the incident particle is distinguishable from the target particles, and that if there are any open channels apart from the ground state, they are excitation channels. The new development is the omission of the requirement that the wave functions and energies of the target states associated with open channels be known exactly. A stationary lower bound is obtained by using the close-coupling approximation and forming a stationary bound on the matrix potential which arises in that approximation. Stationary upper and lower bounds are obtained by the development of stationary upper and lower bounds on the full (exact) optical-model potential; the effects of virtual rearrangements can be included in the latter approach. The stationary bounds derived are rigorous if the calculation is sufficiently accurate so that the bounds on the tangent of each eigenphase lie on the correct branch. This requirement exists in much the same way as in earlier work, which provided calculable bounds only when the target wave functions are known precisely. It is not a new feature of the present paper, whose principal concern is the extension of this earlier work to cases where such precise information about the target is lacking." @default.
• W2047896512 created "2016-06-24" @default.
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• W2047896512 date "1975-11-01" @default.
• W2047896512 modified "2023-09-24" @default.
• W2047896512 title "Stationary bounds on eigenphase shifts: Target wave functions imprecisely known" @default.
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• W2047896512 doi "https://doi.org/10.1103/physreva.12.1859" @default.
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