Castillejo-Dalitz-Dyson Poles and Asymptotic Fields

Stanley Jernow and Emil Kazes
Phys. Rev. 160, 1428 – Published 25 August 1967; Erratum Phys. Rev. 166, 1862 (1968)

Abstract

The meaning of Castillejo-Dalitz-Dyson poles (CDD poles) in the field-theoretic context of a boson separable-potential model is studied. Because the asymptotic-field operators for this model depend upon the D function, it is possible to insert CDD poles into these fields and to gauge their effect. It is found that CDD poles have a profound influence: Their presence prevents the in-fields from satisfying canonical commutation relations. A return to the free-particle algebra is possible, however, if new particles are inserted into the theory, one for every pole. These new particles are unstable, thus confirming the link between CDD poles and instability. A further consequence of this work is the development of a method for constructing Hamiltonians which, a priori, yield scattering amplitudes containing CDD poles.

  • Received 20 February 1967

DOI:https://doi.org/10.1103/PhysRev.160.1428

©1967 American Physical Society

Erratum

Castillejo-Dalitz-Dyson Poles and Asymptotic Fields,

Stanley Jernow and Emil Kazes
Phys. Rev. 166, 1862 (1968)

Authors & Affiliations

Stanley Jernow* and Emil Kazes

  • The Pennyslvania State University, University Park, Pennsylvania

  • *Present address: Knoll's Atomic Power Laboratory, Schenectady, New York.

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Issue

Vol. 160, Iss. 5 — August 1967

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