Jacques Weyers

A light stop and electroweak baryogenesis

The possibility of creating baryon asymmetry at the electroweak phase transition in the minimal supersymmetric standard model is considered for the case when right-handed squarks are much lighter than left-handed ones. It is shown that the usual requirement v(T_c)/T_c > 1 for baryogenesis can be satisfied in a range of the parameters of the model, consistent with present experimental bounds. Comment: Latex file, 11 pages, 2 postscript figures

Q anti-Q G Hermaphrodite Mesons in the MIT Bag Model

Abstract We suggest that hybrid (q q g) mesons could exist with rather light masses. The spectrum of the ground state nonets, J PC = (0, 1, 2) −+ ; 1 −− is calculated in the MIT bag model including O(α s ) energy shifts. We discuss hadronic transitions among these states, consider their possible production at LEAR and SPEAR and indicate some interesting decay signatures.

Quark Masses and Cabibbo Angles

Abstract A simple symmetric pattern of Higgs fields in an SU (2) L × SU (2) R × U (1) gauge model with six quarks yields: tan 2 θ c = m d / m s and θ c = 15° in good agreement with experiment. A eight-quark extension of the model leads to successful determination of the three Cabibbo-like angles connecting the first six quarks and to the prediction m t ∼ 9.3 m c ∼ 14 GeV.

P-adic Dynamics

The quadratic map overp-adic numbers is studied in some detail. We prove that near almost all indifferent fixed points it is topologically conjugate to a quasiperiodic linear map. We also establish the existence of chaotic behavior and describe it using symbolic dynamics.

QUANTUM MECHANICS ON P-ADIC FIELDS

A formulation of quantum mechanics on p‐adic number fields is presented. Quantum amplitudes are taken as complex functions of p‐adic variables and it is shown how the Weyl approach to quantum mechanics can be generalized to the p‐adic case. The p‐adic analogs of simple one‐dimensional systems (free particle, compact and noncompact oscillators) are defined by a ‘‘group of motion,’’ which is an Abelian subgroup of SL (2,Qp). In each case the evolution operator is a unitary representation of the appropriate group. Its spectrum is given by characters and its eigenstates are calculated.

HYBRID QUARKONIA FROM QCD SUM RULES

Abstract We present calculations of the vacuum polarization functions in QCD induced by heavy-quark q qG currents with the quantum numbers JPC = 1+−, 0++, 1−+ and 0−−. In the framework of QCD sum rules we investigate the possible resonance structure in these channels. We obtain definite predictions for the masses of resonances in the channels 0−−, 0++ and 1+−, but not in the exotic 1−+ channel. The resulting mass values are unexpectedly high.

COUPLED QCD SUM RULES FOR HYBRID MESONS

Abstract Sets of coupled sum rules are analyzed for heavy quark hybrids. In the exotic 1 −+ channel not a single sum rule stabilizes while in other channels the results are self-consistent.

New meson configuration in the bag model. I. First order energy spectrum of qq macr g states

Perturbative QCD in the bag is applied to unconventional configuration of quarks and gluons. The meson spectrum is computed to second order in the strong coupling. Exotic states with /b J//sup PC /=1/sup -+/, 0/sup +-/, 0/sup --/ are found in the energy range 1.57<or=/b E/<or=1.93 GeV.

RADIAL EXCITATIONS AND EXOTIC MESONS VIA QCD SUM RULES

We continue our investigation of qqG states via QCD sum rules. Using previous results for the vacuum polarization functions we study both states with equal mass quarks and open flavour states for J = 0 and 1 with all possible combinations for the P and C quantum numbers, including several exotic combinations. Definite predictions are obtained in several channels. As before the resulting mass values come out high, but some of the states found can be connected to radial excitations of ordinary quarkonium states.

THE PION IN QCD

Abstract A model for chiral symmetry breaking in QCD patterned on the BCS theory of superconductivity is given.