On analytic extrapolation of scattering amplitudes
The method for extrapolation of amplitudes off the physical region lying interior to the domain of analyticity is proposed. It is essentially based on Cauchy theorem and subsequent approximations of the kernel ( z − a) −1 by polynomial approximants. Particular attention is payed to instabilities and...
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| Published in | Nuclear physics. B Vol. 12; no. 1; pp. 110 - 118 |
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| Main Authors | , |
| Format | Journal Article |
| Language | English |
| Published |
Elsevier B.V
01.08.1969
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| Online Access | Get full text |
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| Summary: | The method for extrapolation of amplitudes off the physical region lying interior to the domain of analyticity is proposed. It is essentially based on Cauchy theorem and subsequent approximations of the kernel (
z −
a)
−1 by polynomial approximants. Particular attention is payed to instabilities and to the determination of the best degree of approximation. The method is compared with direct polynomial expansions proposed recently by Cutkosky and Deo and by Ciulli. |
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| ISSN: | 0550-3213 1873-1562 |
| DOI: | 10.1016/0550-3213(69)90316-2 |