Construction of a Unitary Analytic Scattering Amplitude: IV. Many Two Body Channels

D. Atkinson; G.  Mahoux; F. J. Yndurain

doi:10.1016/0550-3213(75)90504-0

Construction of a Unitary Analytic Scattering Amplitude: IV. Many Two Body Channels

D. Atkinson
, G. Mahoux
, F. J. Yndurain

Research output: Contribution to journal › Article › Academic › peer-review

8 Citations (Scopus)

Abstract

We extend previous results concerning the existence of unitary amplitudes that correspond to a given differential cross section to the many-channel case. We use cos θ analyticity and show that all of the one-channel results may be adapted to the more general problem. A new constraint, the commutavity of the dispersive and absorptive parts, is shown to be automatic in all but exceptional singular cases.

Original language	English
Pages (from-to)	521-532
Number of pages	12
Journal	Nuclear Physics B
Volume	98
Issue number	3
DOIs	https://doi.org/10.1016/0550-3213(75)90504-0
Publication status	Published - 10-Nov-1975

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@article{8d4fb026921f47cebef0edb8717b7b1b,

title = "Construction of a Unitary Analytic Scattering Amplitude: IV. Many Two Body Channels",

abstract = "We extend previous results concerning the existence of unitary amplitudes that correspond to a given differential cross section to the many-channel case. We use cos θ analyticity and show that all of the one-channel results may be adapted to the more general problem. A new constraint, the commutavity of the dispersive and absorptive parts, is shown to be automatic in all but exceptional singular cases.",

author = "D. Atkinson and G. Mahoux and Yndurain, \{F. J.\}",

year = "1975",

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doi = "10.1016/0550-3213(75)90504-0",

language = "English",

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T1 - Construction of a Unitary Analytic Scattering Amplitude

T2 - IV. Many Two Body Channels

AU - Atkinson, D.

AU - Mahoux, G.

AU - Yndurain, F. J.

PY - 1975/11/10

Y1 - 1975/11/10

N2 - We extend previous results concerning the existence of unitary amplitudes that correspond to a given differential cross section to the many-channel case. We use cos θ analyticity and show that all of the one-channel results may be adapted to the more general problem. A new constraint, the commutavity of the dispersive and absorptive parts, is shown to be automatic in all but exceptional singular cases.

AB - We extend previous results concerning the existence of unitary amplitudes that correspond to a given differential cross section to the many-channel case. We use cos θ analyticity and show that all of the one-channel results may be adapted to the more general problem. A new constraint, the commutavity of the dispersive and absorptive parts, is shown to be automatic in all but exceptional singular cases.

U2 - 10.1016/0550-3213(75)90504-0

DO - 10.1016/0550-3213(75)90504-0

M3 - Article

SN - 0550-3213

VL - 98

SP - 521

EP - 532

JO - Nuclear Physics B

JF - Nuclear Physics B

IS - 3

ER -

Construction of a Unitary Analytic Scattering Amplitude: IV. Many Two Body Channels

Abstract

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