Detailed dynamics of narrow resonance models for ππ scattering

Sivers, Dennis; Yellin, Joel

doi:10.1016/0003-4916(69)90308-x

Cited by 27 publications

(6 citation statements)

References 16 publications

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“…Duality will be taken to mean that they are not much larger, either. The daughters in a one-term Veneziano model are small in this sense [13]. This definition of a dual amplitude accords with accepted ideas of duality [12], and is a non-trivial, testable statement (i.e.…”

Section: Phenomenological Duality and Fesr'ssupporting

confidence: 77%

Duality and Regge absorption models

Worden¹

1973

Nuclear Physics B

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Pion-nucleon charge-exchange FESRs show that the best current Regge absorption models are not dual. Their strong disagreement with the FESRs is surprising, in view of the well-known correspondence between absorptive zeroes and low-energy resonance zeroes. We show that the non-duality does not arise from small details of the models, but follows inevitably from certain basic features which they share. To give the absorption the required phase, current models all introduce a strong low-lying j-plane component in the region 0 >f >-1. This component overwhelms the p pole at low energies, producing a non-dual amplitude. Some possible remedies are discussed.

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Section: Phenomenological Duality and Fesr'ssupporting

confidence: 77%

Duality and Regge absorption models

Worden¹

1973

Nuclear Physics B

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“…By substituting trajectory (8) into (23), we get IB (--ol(u), -4) 4 where 'p = arg (z), 0 5 p 5 n. For fixed values of s both u and t tend to infinity as z tends to infinity.…”

Section: Qj(z) N Constmentioning

confidence: 99%

J‐Plane Analysis of the Veneziano Amplitude with Nonlinear Trajectories

Bugrij¹,

Jenkovszky²,

Kobylinsky³

1974

Annalen der Physik

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The structure of singularities of the Veneziano amplitude in the complex angular momentum plane ie studied. The introduction of a nonlinear term in the trajectory essentially changes the properties of the partial amplitude as compared to the caw of linear trajectories. In the J-plane. besides simple poles lying on the leading and on the conventional daughter trajectories, additional poles lying on mirage trajectories (situated below the leading trajectory) emerge. In the partial amplitude also non-reggeised poles in the 8-plane emerge whose position is independent of the angular momentum. Such are, for example, t h e ancestors.

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“…The structure of the Virasoro model in the complex l plane has been discussed by several authors/) ..... 4 ) but there seem to remain some problems to be clarified. For instance, although it is taken for granted that the moving Re~ge poles are spaced by two units, there seems to be no explicit proof for this.…”

Section: § 1 Introductionmentioning

confidence: 99%

Regge Poles and Their Residues in the Virasoro Model

Kawai

1971

Prog. Theor. Phys.

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The complex l plane structure of the Virasoro model for "f}o"f}o elastic scattering is investigated in detail. Explicit expressions for the residue functions and the positions of their poles and zeros are given for both moving and fixed Regge. poles. Contrary to some statements in an earlier literature, it is shown that the poles of Regge residues do not show up as poles of the full signature amplitude and that they are not in conflict with unitarity. Besides, the fixed Regge poles are additive and not combined multiplicatively with moving Regge poles. ' ' ' ' ' ' ' ' ' ' '. not to show up as poles of the signature amplitude at all and are not in conflict with unitarity. It is also shown that the residue of every moving (fixed) pole has zeros at***) *) Work supported by the National Research Council of Canada. **) On leave of absence from Osaka City University, Osaka. ***) The trajectory function a:(s) is assumed to be given by a:(s) =as+b with real constant a and b, and a is defined by 8=4a mi+3b-3, where mr; is the "1} 0-meson mass. Note that the Virasoro model is reduced to the Veneziano model when 8=0.

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Detailed dynamics of narrow resonance models for ππ scattering

Cited by 27 publications

References 16 publications

Duality and Regge absorption models

Duality and Regge absorption models

J‐Plane Analysis of the Veneziano Amplitude with Nonlinear Trajectories

Regge Poles and Their Residues in the Virasoro Model

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