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RECURSION RELATIONS AND SIMPLIFIED EXPRESSIONS FOR THE 6-j SYMBOLS

Description: It is shown that the 144 symmetry properties of the 6-j symbols which were discovered by Regge can be displayed with a 4 x 4 array that is invariant to the ordering of three of the rows and all columns. The elements of the array are linear combinations of the quantum numbers. In addition, it is shown that a large set of three-term recursion relations exist. The recursion relations are used to deduce simplified expressions for the 6-j symbois in special cases. (auth)
Date: May 16, 1963
Creator: Zerby, C.D.
Partner: UNT Libraries Government Documents Department

Diffractive production of massive states

Description: The nature of the pomeron, e.g. its quark and gluon structure in QCD, can be investigated by studying pomeron-proton interactions producing high E{sub T} jets, heavy flavors, W/Z and lepton pairs. This study was initiated at the CERN S{ital p}{anti {ital p}}S collider and is now pursued at the Tevatron. A hard pomeron also manifests itself as a rapidity gap between two high E{sub T} jets. In both cases there is evidence that the pomeron sometimes behaves like a single gluon. Pomeron-pomeron interactions may be extremely interesting.
Date: June 1, 1996
Creator: Albrow, M.G.
Partner: UNT Libraries Government Documents Department

Conformally symmetric contributions to BFKL evolution at next to leading order

Description: Unitarity corrections to the BFKL evolution at next to leading order determine a new component of the evolution kernel which is shown to possess conformal invariance properties. Expressions for the complete spectrum of the new component and the correction to the intercept of the pomeron trajectory are presented.
Date: July 1, 1995
Creator: Coriano, C. & White, A.R.
Partner: UNT Libraries Government Documents Department

Double-Phase Representation of Analytic Functions

Description: The double phase representation for the elastic scattering amplitude A(s,t,u) as a function of the covariant Mandelstam variables s, t, and u is discussed. Conditions for the existence of the double representation, and their implications, are examined. The asymptotic forms of this double phase representation when some of s, t, and u become infinite are derived in the case when the phase approaches the limit at infinity not too slowly. This is the case when the elastic scattering anrplitude exhibits asymptotically a power behavior in energy (usually called the Regge behavior). In particular, the case when the forward peak of high-energy elastic scattering does not shrink is examined closely. No-shrinkage is found to be the case when the phase in the crossed channel does not diverge logarithmically at infinity in its momentum-transfer plane. If the forward peak shrinks, the above phase diverges logarithmically at infinity ln the case of no-shrinkage, the asymptotic shape of the forward peak is determined solely by the phase in the crossed channel. Furthermore, the above shape assumes a pure exponential function of the covariant momentum-transfer squared when momentum-transfer is small, and approaches a power behavior in the same variable for large momentumtransfer. Some of the specific predictions of the phase representation approach to high-energy elastic scattering are listed. (auth)
Date: January 1, 1963
Creator: Sugaware, M. & Nambu, Y.
Partner: UNT Libraries Government Documents Department

EXACT FORM FOR SCATTERING AMPLITUDE IN REGGE POLE THEORY

Description: The exact form for the contribution of a single Regge pole is given both for positive and negative angular momentum without making the usual approximations. This exact form involves Legendre functions of the first and second kind with nonintegral index and argument greater than one. These functions are plotted. A one-parameter fit is made to the high-energy p-p elastic scattering data that give good agreement with experiment. (auth)
Date: September 1, 1963
Creator: Read, A.L.; Orear, J. & Bethe, H.A.
Partner: UNT Libraries Government Documents Department

Including resonances in the multiperipheral model

Description: A simple generalization of the multiperipheral model (MPM) and the Mueller--Regge Model (MRM) is given which has improved phenomenological capabilities by explicitly incorporating resonance phenomena, and still is simple enough to be an important theoretical laboratory. The model is discussed both with and without charge. In addition, the one channel, two channel, three channel and N channel cases are explicitly treated. Particular attention is paid to the constraints of charge conservation and positivity in the MRM. The recently proven equivalence between the MRM and MPM is extended to this model, and is used extensively. (auth)
Date: October 1, 1973
Creator: Pinsky, S.S.; Snider, D.R. & Thomas, G.H.
Partner: UNT Libraries Government Documents Department

The hard gluon component of the QCD Pomeron

Description: The authors argue that deep-inelastic diffractive scaling provides fundamental insight into the QCD Pomeron. The logarithmic scaling violations seen experimentally are in conflict with the scale-invariance of the BFKL Pomeron and with phenomenological two-gluon models. Instead the Pomeron appears as a single gluon at short-distances, indicating the appearance of a Super-Critical phase of Reggeon Field Theory. That the color compensation takes place at a longer distance is consistent with the Pomeron carrying odd color charge parity.
Date: October 20, 1996
Creator: White, A.R.
Partner: UNT Libraries Government Documents Department

Deep-inelastic diffraction and the pomeron as a single gluon

Description: Deep-inelastic diffractive scaling provides fundamental insight into the QCD pomeron. It is argued that single gluon domination of the structure function, together with the well-known Regge pole property, determines that the pomeron carries color-change parity C{sub c} = {minus}1 and, at short distances, is in a super-critical phase of Reggeon Field Theory. The main purpose of the talk is to describe the relationship of the super-critical pomeron to QCD.
Date: September 3, 1997
Creator: White, A.R.
Partner: UNT Libraries Government Documents Department

Collective enhancement of inclusive cross sections at large transverse momentum in stochastic-field multiparticle theory

Description: A stochastic-field calculus, previously discussed in connection with Regge intercepts and instability questions, is applied to inclusive cross sections, and is shown to predict a growth with energy of large-P/perpendicular/ to inclusives. (auth)
Date: January 1, 1976
Creator: Arnold, R.C.
Partner: UNT Libraries Government Documents Department

Diffractive processes

Description: Recent results on elastic scattering of hadrons, single and double inelastic diffraction, and double Pomeron exchange are reviewed. Comments are made on features of the data that can be simply understood using optical models or the triple Regge model. (auth)
Date: January 1, 1975
Creator: Derrick, M.
Partner: UNT Libraries Government Documents Department

Intercepts and residues of Regge poles in a stochastic-field multiparticle theory

Description: A dynamical theory of multiparticle amplitudes, based on a functional integral representation embodying collective long-range correlations, is applied to the calculation of Regge intercepts and residues. Poles arising in conventional multiperipheral models will characteristically be modified in three ways: promotion, renormalization, and a proliferation of dynamical secondary trajectories, reminiscent of dual models. (auth)
Date: January 1, 1976
Creator: Arnold, R.C.
Partner: UNT Libraries Government Documents Department