On the construction of amplitudes with Mandelstam analyticity from observable quantities

1984 ◽  
Vol 25 (6) ◽  
pp. 2052-2086 ◽  
Author(s):  
I. Sabba Stefanescu
Keyword(s):  
Mandelstam Analyticity

Asymptotic Behavior of Dual Amplitudes with Mandelstam Analyticity

1972 ◽  
Vol 6 (4) ◽  
pp. 1070-1082 ◽  
Author(s):  
D. Atkinson ◽  
A. P. Contogouris ◽  
R. Gaskell
Keyword(s):  
Asymptotic Behavior ◽  
Mandelstam Analyticity

Dual, Crossing-Symmetric Amplitude with Mandelstam Analyticity

1971 ◽  
Vol 26 (2) ◽  
pp. 112-115 ◽  
Author(s):  
G. Cohen-Tannoudji ◽  
F. Henyey ◽  
G. L. Kane ◽  
W. J. Zakrzewski
Keyword(s):  
Mandelstam Analyticity

scholarly journals EXPLICIT MODEL REALIZING PARTON–HADRON DUALITY

2012 ◽  
Vol 27 (26) ◽  
pp. 1250157 ◽  
Author(s):  
LÁSZLÓ L. JENKOVSZKY ◽  
VOLODYMYR K. MAGAS ◽  
J. TIMOTHY LONDERGAN ◽  
ADAM P. SZCZEPANIAK
Keyword(s):  
Structure Function ◽  
Veneziano Model ◽  
Nucleon Structure ◽  
Explicit Model ◽  
Pedagogical Model ◽  
Nucleon Structure Function ◽  
Mandelstam Analyticity ◽  
Hadron Duality

We present a model that realizes both resonance-Regge (Veneziano) and parton–hadron (Bloom–Gilman) duality. We first review the features of the Veneziano model and we discuss how parton–hadron duality appears in the Bloom–Gilman model. Then we review limitations of the Veneziano model, namely that the zero-width resonances in the Veneziano model violate unitarity and Mandelstam analyticity. We discuss how such problems are alleviated in models that construct dual amplitudes with Mandelstam analyticity (so-called DAMA models). We then introduce a modified DAMA model, and we discuss its properties. We present a pedagogical model for dual amplitudes and we construct the nucleon structure function F2(x, Q2). We explicitly show that the resulting structure function realizes both Veneziano and Bloom–Gilman duality.

Removal of multifold poles in dual amplitudes with mandelstam analyticity

1971 ◽  
Vol 2 (5) ◽  
pp. 256-258 ◽  
Author(s):  
R. E. Ferdman ◽  
L. L. Jenkovsky ◽  
N. A. Kobylinsky
Keyword(s):  
Mandelstam Analyticity

scholarly journals On the Interplay between Q2 and t Dependences in Exclusive Diffractive Production of Real Photons and Vector Mesons in ep Collisions

2012 ◽  
Vol 57 (12) ◽  
pp. 1197
Author(s):  
R. Fiore ◽  
L.L. Jenkovszky ◽  
A. Lavorini ◽  
V.K. Magas
Keyword(s):  
Mass Shell ◽  
Scattering Amplitude ◽  
Meson Production ◽  
Deeply Virtual Compton Scattering ◽  
Virtual Compton Scattering ◽  
Photon Virtuality ◽  
Vector Meson Production ◽  
Diffractive Production ◽  
Mandelstam Analyticity ◽  
Free Parameters

We show how the familiar phenomenological way of combining the Q2 (photon virtuality) and t (squared momentum transfer) dependences of the scattering amplitude in Deeply Virtual Compton Scattering (DVCS) [1, 2] and Vector Meson Production (VMP) [2] processes can be understood in an off-mass-shell generalization of dual amplitudes with Mandelstam analyticity [3]. By comparingdifferent approaches, we managed also to constrain the numerical values of the free parameters.

Dual amplitudes with Mandelstam analyticity

1971 ◽  
Vol 2 (6) ◽  
pp. 290-292 ◽  
Author(s):  
M. O. Taha
Keyword(s):  
Mandelstam Analyticity

Pion–pion scattering in a model satisfying crossing symmetry, analyticity, and approximate unitarity

1976 ◽  
Vol 54 (10) ◽  
pp. 1022-1033
Author(s):  
D. H. Boal ◽  
J. W. Moffat
Keyword(s):  
Phase Shift ◽  
Energy Region ◽  
Detailed Comparison ◽  
Phase Shifts ◽  
Low Energy ◽  
Pion Scattering ◽  
Crossing Symmetry ◽  
Mandelstam Analyticity ◽  
Good Agreement

Phase shifts for π–π scattering are obtained from a model satisfying Mandelstam analyticity, exact crossing symmetry, and approximate unitarity in the range 2mπ ≤ s1/2 ≤ 1.3 GeV. The low energy region is dominated by the ρ, ε, and S* poles; the δ00 phase shift is in good agreement with the data obtained by Protopopescu et al. A detailed comparison is made with the available world's data on π–π scattering.

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