arXiv subjects
Publications and source records attributed to Philip R. Page.
We introduce strong interaction selection rules for the two-body decay and production of hybrid and conventional mesons coupling to two S-wave hybrid or conventional mesons. The rules arise from symmetrization in states in the limit of non-relativistically moving quarks. The conditions under which hybrid coupling to S-wave states is suppressed are determined by the rules, and the nature of their breaking is indicated.
A new formalism is developed for the two photon production of hybrid mesons via intermediate hadronic decays. In an adiabatic and non-relativistic context with spin 1 pair creation we obtain the first absolute estimates of unmixed hybrid production strengths to be small (0.03 - 3 eV) in relation to experimental meson widths (0.1 - 5 keV). Within this context, two photon experiments at Babar, Cleo II, LEP2 and LHC therefore strongly discriminate between hybrid and conventional meson wave function components, filtering out conventional meson components. Decay widths of unmixed hybrids vanish. Conventional meson two photon widths are roughly in agreement with experiment.
We present arguments that reinforce the hybrid interpretation of pi(1800) and we establish that the rho(1450) and the omega(1420) can be interpreted as radial-hybrid mixtures. Some questions for future experiments are raised.
The eta(1760) may be significantly produced in J/Psi radiative decay. We deduce from experimental data that its branching ratio to two gluons is bounded, 0.4 +- 0.3 < BR(eta(1760) -> gg) < 0.9 +- 0.3, consistent with gluonic admixture. Moreover, the expectation that there should be an isoscalar analogue of the gluonic (hybrid) meson candidate pi(1800) is argued to reinforce hybrid admixture in eta(1760). Two-gluon coupling of hybrids is estimated in a spectator model to be considerably larger than that of quarkonium. In addition, the two-photon coupling of eta(1760) is estimated to be 1.4 +- 0.7 keV.
We introduce general selection rules arizing from flux-tube dynamics with non-relativistic and adiabatic quark motion, without employing model-dependent assumptions. Specifically, we indicate under which circumstances hybrids with an arbitrary degree of flux-tube excitation can disguise themselves by not decaying to S--wave states.
We suggest that $ψ$ (4040) and $ψ$ (4160) are strong mixtures of ground state hybrid charmonium at $\sim 4.1$ GeV and the $ψ(3S)$ of conventional charmonium. The $Γ^{e^+e^-}$, masses and total widths of the $ψ(4040)$ and $ψ(4160)$ are in accord with this hypothesis. Their hadronic decays are predicted to be dominated by the $ψ(3S)$ component and hence are correlated. In particular we find a spin counting relation $Γ(4160 \rightarrow D_sD_s^*) \sim 4 Γ(4040 \rightarrow D_sD_s)$ due to their common $ψ(3S)$ component. For $D$ and $D^*$ production, using $ψ(4040)$ branching ratios as input, we predict that the decay pattern of the $ψ(4160)$ will be very different from that of the $ψ(4040)$. These predictions may be tested in historical data from SPEAR, BES or at future Tau-Charm Factories.
The hadronic decay of radially and orbitally excited charmonium above charm threshold by $^3 P_{0}$ pair creation and chromoelectric flux--tube breaking is discussed in an harmonic oscillator approximation. We find independent evidence from a study of widths for a 2S admixture in the predominantly 1D state $ψ(3770)$, and explore the possibility of metastable radially excited $2 \; ^{3}P_{0,1,2}$ states being a source of the anomalously large production of $ψ^{'}$ at the Tevatron. At least one of them is expected to be narrow as a consequence of the existence of nodes in the radial wave function.
We have examined decays of low-lying gluonic excitations of mesons (hybrids) by chromoelectric flux-tube breaking. An analytical calculation of non-relativistic flux-tube model decay amplitudes is performed in an harmonic oscillator approximation. Specific decay signatures of all $J^{PC}$ charmonium hybrids are identified and the widths predicted. We introduce a new selection rule which can be used to understand the systematics of numerical decay calculations.