C. Nelson

A completeness relation for the q-analogue coherent states by q-integration

q-integration is defined for the q-oscillator realization of quantum groups. This is used to prove a completeness relation for the q-analogue of the usual coherent states. These states are overcomplete.

THE SILICON VERTEX DETECTOR OF THE COLLIDER DETECTOR AT FERMILAB

Abstract A silicon microstrip vertex detector has been constructed and installed in the Collider Detector at Fermilab. The device has been designed to operate at a hadron collider. It began collecting data in May of 1992 and has functioned within specification. Technical details are presented on all aspects of the system and its performance.

The CDF SVX: A silicon vertex detector for a hadron collider

Abstract A silicon microstrip vertex detector is being constructed as an upgrade to the CDF detector at the Fermilab Tevatron-1 p p collider. This device, which is designed to operate in the hadron collider environment, should allow the tagging of long-lived heavy flavors produced in p p collisions. The mechanical and electronic design of this device are described in this paper.

Color models of hadrons

Abstract The evidence for a three-valued “color” degree of freedom in hadron physics is reviewed. The structure of color model is discussed. Consequences of color models for elementary particle physics are discussed, including saturation properties of hadronic states, π o → 2 ψ and related decays, leptoproduction, and lepton pair annihilation. Signatures are given which distinguish theories with isolated colored particles from those in which color is permanently bound.

CDF Front End Electronics: The Rabbit System

Abstract A new crate-based front end system has been built featuring low cost, compact packaging, fast readout, command capability, 16 bit digitization, and a high degree of redundancy. The crate can contain a variety of instrumentation modules and is designed to be placed near the detector. Remote, special purpose processors direct the data readout. Channel-by-channel pedestal subtraction and threshold comparison in the crate allow the skipping of empty channels. The system is suitable for the readout of a very large number of channels.

The q-analogue quantized radiation field and its uncertainty relations

Abstract The “classical limit” of the q -analogue quantized radiation field is studied paralleling conventional quantum optics analyses. Results for the number-phase uncertainty relations can be q -independent in the number basis. The variance of the generic electric field is found to be ⩾ λħω/2ϵ 0 V , where λ >1 if q ≠1. At large amplitudes, the amplitude itself would be quantized if the available resolution of unity for the q -analogue coherent states is accepted in the formulation.

CP determination for new spin zero mesons by the ττ decay mode

Abstract For spin- 0 decay into τ+τ− yielding an observable lepton pair l1l2 from τ ± → l ± ν ν , the full sequential decay correlation function I(E1, E2, cos ψ12) = S + γCPD in the Higgs/technipion rest frame is obtained analytically for massless final leptons where ψ12 is the angle between the l1 and l2 momenta. For fixed ψ12, contour plots of this decay correlation function for MH = 9 GeV show that there is about a 10% difference between γCP = ±. In the near non-relativistic limit where MH ≅ 2mτ the γCP signature is a much larger effect, |D/S| is roughly ∼ 50%. In contrast, the energy correlation function I(E1, E2) does not depend on γCP.

Origin of cancellation of infrared divergences in coherent state approach: Forward process qq → qq + gluon

Abstract The idea of Kulish and Faddeev for treating asymptotic dynamics in QED by a deductive construction of asymptotic states corresponding to the asymptotic behavior of the hamiltonian operator for | t |→∞, in the interaction representation, is further extended in QCD to provide a more complete analysis of the combinatorial structure of the asymptotic states obtained by the analogous construction in QCD. In the processes so far considered in low orders in perturbative QCD, we find that with these asymptotic states, IR-divergent contributions are systematically generated in the matrix element such as to cancel the leading-order IR divergences arising from the unitarity cuts of the standard covariant graph of perturbative QCD. This occurs separately for each topological type of covariant graph. The cancellation of the forward scattering, leading-order IR divergences in the matrix element in qq→qq+ gluon to lowest order in perturbation theory is discussed in detail.

Avoidance of counter-example to non-abelian Bloch-Nordsieck conjecture by using coherent state approach

It is shown that the counter-example to the non-abelian Bloch-Nordsieck conjecture in “q + q → γ∗ + soft gluons” to order αs2 is avoided at the cross section level if the initial st prepared according to the coherent state approach for treatment of the infrared region of non-abelian gauge theories.

On the zeros of the q-analogue exponential function

An asymptotic formula for the zeros, zn, of the entire function eq(x) for q<<1 is obtained. As q increases above the first collision point at q1* approximately=0.14, these zeros collide in pairs and then move off into the complex z plane. They move off as (and remain) a complex conjugate pair. The zeros of the ordinary higher derivatives and of the ordinary indefinite integrals of eq(x) vary with q in a similar manner. Properties of eq(z) for z complex and for arbitrary q are deduced. For 0<or=q<1,eq(z) is an entire function of order 0. By the Hadamard-Weierstrass factorization theorem, infinite product representations are obtained for eq(z) and for the reciprocal function eq-1(z). If q not=1, the zeros satisfy the sum rule Sigma n=1infinity (1/zn)=-1.