Decay of quarks in the Pati-Salam model

We discuss, within the framework of the basic Pati-Salam model, the feasibility of the hypothesis that quarks are unconfined, integer-charged, relatively light (mass ～2?3 GeV) and short-lived (τ_q?10^?12s). Our estimates for the quark life-times vary between 10^?12s and 10⁺¹¹ s for the white and blue quarks and between 10^?12 s and 10⁺¹⁶ s for the red quarks. The life-times depend very sensitively, and it is shown why, on the values of the Salam-Weinberg mixing angle and the quark-gluon coupling constant.     

Jet-like distributions from the weak decay of heavy quarks

We consider the production and weak decay of a pair of heavy quarks (mesons) ine ⁺ e ^? experiments and study their effect on the various jet distributions. The relative magnitudes of the two-quark-jet and three-quark-jet final states, in the decay of a heavy quark are estimated in the framework of an SU(2) _L ×U(1) model. We find that the three quark configuration dominates over the two quark configuration. For the quark jets resulting from the weak decay of the heavy quarks, we calculate the jet distributions in Sphericity, Spherocity and Thrust for the process \(e^ + e^ - \to Q\bar Q \to 6\) quarks. These distributions are compared with the corresponding quantities from the non-perturbative process \(e^ + e^ - \to q\bar q\) and the QCD process \(e^ + e^ - \to q\bar qg\) . We find that the weak decay of heavy quarks is the dominant mechanism for jet broadening ine ⁺ e ^? experiments, in the intermediate energy region relevant for PETRA and PEP.     

Magnetic moments of the low lying negative parity Λ resonances

We calculate the magnetic moments of the low lying negative-parity J ^P = 1/2^?, 3/2^? Λ resonances within the framework of chiral constituent quark model. The explicit contribution coming from the valence and sea quarks are being calculated.     

On the helicity of charm jets

We discuss the determination of initial quark polarization from the characteristics of the jet it gives rise to, since theory indicates that quark-antiquark pairs produced ine ^? e⁺ annihilation have a large polarization correlation and that individual quarks have longitudinal polarization due to γ-Z ⁰ interference. On the basis of a model calculation, we deduce that the mean value of \(S_c \cdot \hat P_D \times \hat P_\pi \) for charm quark jets, averaged over theD ^*(2010), can be non zero and is then a measure of the initial quark helicity. Expectation values are, however, very small, for reasons which are discussed. The extension tob andt quarks is briefly considered.     

Sum rules and systematics for baryon magnetic moments

The new experimental values of hyperon magnetic moments are compared with sum rules predicted from general quark models. Three difficulties encountered are not easily explained by simple models. The isovector contributions of nonstrange quarks to hyperon moments are smaller than the corresponding contribution to nucleon moments, indicating either appreciable configuration mixing in hyperon wave functions and absent in nucleons or an additional isovector contribution beyond that of valence quarks, e.g. from a pion cloud. The large magnitude of the Ξ^? moment may indicate that the strange quark contribution to the Ξ moments is considerably larger than the value μ(Λ) predicted by simple models which have otherwise been very successful. The set of controversial values from different experiments of the Σ^? moment include a value very close to $\text{?}\text{1}\text{2}\text{μ(Σ}{}^{\mathrm{+}}\text{)}$ which would indicate that strange quarks do not contribute at all to the Σ moments.     

1/N calculation of structure functions

We calculate the quark and pion structure functions in CP^n?1 models with quarks using 1/N expansions. We find that the quark structure function, in the lowest order in 1/N, is just the free parton result with a modified coupling constant. The pion structure function resembles the phenomelogically successful fit but contains correction terms which modulate the function.     

Higgs radiation off top quarks in high-energye + e − colliders

Higgs particles can be radiated off heavy top quarks which will be produced copiously in high energye ⁺ e ^? colliders. This process can be used to measure the Higgs-top quark coupling. We present the cross section for the production of Higgs bosons in the Standard Model. In addition we have studied the production of neutral and charged Higgs particles in association with heavy fermions in the Minimal Supersymmetric Standard Model.     

Longitudinal contribution to the alignment polarization of quarks produced in e+ e−-annihilation: an O(αs) effect

We calculate the longitudinal contribution to the alignment polarization P ^l of quarks produced in e ⁺ e ^? annihilation. In the Standard Model, the longitudinal alignment polarization vanishes at the Born term level and thus receives its first non-zero contribution from the O(α_s) tree graph process. We provide analytical and numerical results for the longitudinal alignment polarization of massless and massive quarks, in particular for the recently discovered top quark.     

Colour-exotic constitutent quarks and hadron spectroscopy

Hypothetical colour-exotic constituent (or dressed) quarks are discussed. It is shown that the data on the excited baryons withJ ^P =1/2⁺, 3/2⁺ and excited mesons withJ ^P =0^?, 1^? are in a reasonable agreement with the hypothesis of the existence of colour-exotic quark in the colour state \(\bar 6\) .     

The phenomenology of coloured scalars

We study the phenomenology of light scalar quarks and the properties of a new family of hadrons containing such quarks in the framework of QCD taking into account non-perturbative effects caused by a possible existence of the condensate of the colored scalar fields. We suggest that 1^?? bound state of scalar quark and antiquark may lie in the already accessible region \(20GeV< \sqrt S< 30GeV\) and be observable as resonance in PETRAe ⁺ e ^? collisions.     

Asymmetries ate + e − colliders for new quarks inE 6 theories

We examine the forward-backward, left-right, and azimuthal asymmetries of quark pairs produced ine ⁺ e ^? annihilation as a probe of possible new physics resulting fromE ₆ theories. The values of these asymmetries are compared for the production ofE ₆-exotic, mirror, and fourth generation quarks. Our results show that asymmetries provide an excellent method for distinguishing between these possible types of new quarks.     

Dynamically generated parton distributions for high energy collisions

The parton distributions of the nucleon are evaluated dynamically using the assumption that at some low resolution scale the nucleon consists entirely of valence quarks. A simple parametrization of the resulting gluon distribution is presented, forx? 10^?5 up toQ ²?10⁶ GeV². This gluon distribution is predicted dicted to be much steeper and larger in the very smallx region (x<10^?2) than usually assumed. Applications to deep inelastic scaling violations and heavy quark (c, b, t) contribution are discussed and presented as well as hadronic heavy quark production at SSC/LHC energies. For example, the \(b\bar b\) production rate at 40 TeV is predicted to be about an order of magnitude larger than that estimated with other gluon distributions so far.     

Light quarks and instantons

Instantons and anti-instantons can profoundly influence the structure of a non-Abelian gauge theory involving N flavors of massless quarks. Interactions of the quarks with these pseudoparticles can spontaneously generate a quark mass, break the theory's SU(N) × SU(N) chiral symmetry and bind quark-antiquark pairs to form N² ? 1 Goldstone bosons. If the spontaneously generated quark mass is small, multipseudoparticle configurations can be treated in a dilute gas approximation.     

How to measure quark helicities in e+e− → hadrons

In order to reach completely the vector and axial couplings of the neutral currents to quarks we propose to measure quark helicities from the polarizations of the leading baryons of the jets. Applications are given for e⁺e^? → 2 jets where large degrees of polarization are obtained from γ-Z interference.     

Phenomenological sizes of confinement regions in baryons

Standard order of magnitude estimates from QCD indicate that the radius of the quarkgluon core in the nucléon is Λ _QCD ^?1 ?1 fm. However, in work with the chiral bag model, we have found that the effective confinement size for low energy reactions can be as small as ～ 1/2 fm or smaller. This shrinking of the effective confinement size has been attributed to the pressure of the pion cloud surrounding the quark core. The concept of confinement size is evidently subtle in light-quark systems, due to the chiral vacuum structure. This is indicated by the “Cheshire Cat” phenomenon, in which physical observables tend to be insensitive to the bag radiusR. In four dimensions, no exact Cheshire Cat principle has yet been established but it is likely to involve infinitely many mesons. We suggest that when strange quarks are present, a qualitative change occurs in the Cheshire Cat picture; in particular, we propose that strangeness provides an obstruction to this picture. We present a phenomenological indication that when strange quarks are present, the bag radiusR is frozen at a value substantially larger than 0.5 fm by as much as a factor of two. Roughly speaking, the Cheshire Cat picture emerges from a near cancellation between repulsive quark kinetic and attractive pion-cloud energies in the case of the nucleon. In theΛ andΣ particles, however, replacement of one up or down quark by a strange quark removes ～ 1/N_c of the attraction from the coupling of the quarks to the pion cloud. This upsets the balance needed for the Cheshire Cat phenomenon and makes larger strange baryons more favorable energetically than the 0.5 fm ones appropriate for pureu- andd-systems. Since the above argument is crude, we appeal strongly to phenomenology. We find that magnetic moments of strange baryons favor a bag radius R?1.1 fm. We find that the excited states of theΛ-hyperons favor similarly large bag radii. Somewhat less convincingly, we argue that — due to perturbative effects — the bag radius appropriate to the Δ(1232) lies intermediate between that of the nucleon and of the strange baryons.     

Three-jet distributions ine + e − annihilation: Electromagnetic and weak production

Hard gluon bremsstrahlung off quarks ine ⁺ e ^? annihilation is expected to produce three-jet events. The angular distributions of the jets are calculated for electromagnetic and weak production in the high energy region (Z resonance decay included). Numerical estimates are presented for the vectoraxialvector interference terms within the Weinberg-Salam theory. We discuss (i) angular correlations between jets, (ii) semiinclusive pion distributions and (iii) we comment on angular asymmetries of leptons originating from heavy quark decays.     

Some tests of fragmentation models in exclusive channels inK − p reactions at 32 GeV/c

Experimental data for exclusive channels of multiplicity 4–8 in 32 GeV/cK ^? p reactions are compared with predictions of the Lund model. This leads to the following insights: — Evidence is obtained for azimuthal correlations betweenK ⁺ K ^? pairs and p pairs supporting the Lund fragmenttation scheme. — The disagreement of the observed behaviour of leading protons andK ^? with the model predictions indicates that the fate of the valence quarks is not well described by the model. The data support the idea of valence quark separation as advocated by dual models.     

A determination of quark weak couplings at petra energies

Data on hadron production by e⁺e^? annihilation at c.m. energies between 12 and 36.6 GeV have been collected using the JADE detector. They have been analysed in terms of single-photon and weak neutral-current exchange assuming production of quark-antiquark pairs with only d, u, s, c and b quarks to produce values for the quark weak neutral-current couplings. A further analysis in terms of the Glashow-Salam-Weinberg theory produced the result, sin²θ_{W = 0.22 ± 0.08}. The theory has therefore been tested in a new energy domain and within the context of the neutral weak couplings of the first, second and third generation quarks.