M. K. Sundaresan

The magnetic moment of the W boson

Abstract Using the preliminary results for p p→WγX and the radiative decay W→e v γ from the Collider Detector at Fermilab (CDF) we obtain information on the magnetic moment of the W boson. We obtain three bounds which are consistent with each other, the best of which is −2.4⩽κ⩽3.7 at 96% CL. We repeat this procedure for the UA2 results from CERN. Again the three bounds are consistent and the best bound is −3.1⩽κ⩽4.2 at 95% CL. All of our bounds are consistent with the standard model (SM) value κ=1.

Light-front Hamiltonian formulation of electroweak theory

We develop the light-front Hamiltonian formulation of the electroweak theory with symmetry breaking through the Higgs mechanism. We quantize the theory using the method of Faddeev and Jackiw applicable to Hamiltonian systems with constraints. The starting point is the SU2 ⊗ U1 invariant Lagrangian which contains contributions from the massless Yang–Mills gauge boson sector, the massless fermion sector (leptons and quarks), the Higgs sector to break the SU2 ⊗ U1 symmetry and generate masses for the weak gauge bosons while leaving the photon massless, and the Yukawa sector to generate masses for the fermions.

Light front Hamiltonian formulation of QED and some tree level applications

In the light front formulation of quantum field gauge theories linear infrared singularities are present which must be addressed. In works by Zhang and Harindranath a prescription is given for the treatment of these singularities. They show that the application of this prescription leads to the cancellation of the linear infrared singularities in loop diagrams. In this work we do a second-order perturbative calculation and calculate the cross sections for e+e− → e+e− and give results for eγ → eγ, e+e− → μ+μ−, eμ → eμ applying the prescription to cancel the linear infrared singularity, whenever present. We show that the well-known expressions of the different cross sections for these processes are exactly reproduced.

Influence of plasma oscillations on the neutrino energy spectrum from the Sun

The reaction in the interior of the Sun has been the focus of interest of a number of investigators due to its bearing on the solar neutrino problem. In this paper we have calculated the effect of the excitation of plasma oscillations (plasmon) during the reaction and present results on the changes in the reaction rate and in the energy spectra of and . The resulting implications for the Gallium experiment are briefly examined.

Effect of nuclear deformations on Solar neutrino capture rates

Modification of the nuclear matrix elements for transitions between the ground state of a nucleus and accessible excited states of the nucleus formed by neutrino capture on the original nucleus are calculated on the basis of a deformed shell model where the initial and/or final nuclei involved may be deformed. It is shown that as long as there are different deformations in the initial and final nuclear states, the beta transition rates may be reduced by factors of two to three from the values they would have if there were no deformations. These considerations are applied to calculate neutrino capture rates in and in .

Limits on the kappa parameter (k) of the W Boson at the collider detector at Fermilab (CDF)

Recently we obtained bounds on the magnetic moment of theW boson from preliminary results from the collider detector at Fermilab. These results were based on 4.3 pb−1 of data, from which threeWγ events and three radiativeW decays were found. Within the next 2 years they expect to have almost 100 pb−1 of data. In this paper we consider the bounds one will be able to obtain from these data, under two scenarios: (1) The expected Standard Model (SM) results are obtained. (2) The relative number of events observed is the same as in the previous run. We estimate that one will be able to obtain a 95% C.L. bound for k, perhaps as good as −1.9 ≤k ≤4.2. These bounds would come from the total number of events. When the number of events increases sufficiently, one will be able to obtain an angular distribution forWγ and an energy distribution for radiativeW decay. Then one could observe the radiation amplitude zero and obtain a precise value for k.

Oersted states: the quantum mechanics of a particle interacting with a superconducting string

Abstract We consider a charged particle interacting with a current-carrying filament. As expected from a general argument, there are no stationary states. However, quasi-bound states can be formed, and the properties of these are discussed. The spectrum of the emitted radiation is described. The relevance to both laboratory experiments and superconducting cosmic strings is discussed.