Spectroscopy and decay properties of charmonium

The mass spectra of charmonium are investigated using a Coulomb plus linear(Cornell)potential.Gaussian wave functions in position space as well as in momentum space are employed to calculate the expectation values of potential and kinetic energy respectively.Various experimental states(X(4660)(5~3S_1),X(3872)(2~3P_1),X(3900)(2~1P_1),X(3915)(2~3P_0)and X(4274)(3~3P_1)etc.)are assigned as charmonium states.We also study the Regge trajectories,pseudoscalar and vector decay constants,electric and magnetic dipole transition rates,and annihilation decay widths for charmonium states.     

Heavy quarkonia spectra and their decays in a relativistic quark model

Using the phenomenological relativistic harmonic model (RHM) for quarks, we have obtained the masses of S wave charmonium and bottomonium states. The full Hamiltonian used in the investigation has Lorentz scalar plus vector confinement potential, along with the confined one gluon exchange potential (COGEP). A good agreement with the experimental masses for the ground and the radially excited states is obtained both for the triplet and singlet S wave mesons. The decay properties of the ground state charmonium and bottomonium are investigated.     

Effect of coupled channel mixing on magnetic dipole transitions of charmonium

The effect of coupled channel mixing is included in the calculation of magnetic dipole(M1) one photon radiative decay rates of charmonium by using a nonsingular potential model. We find that the coupled channel mixing has a moderate effect on the M1 decay rates and the calculated decay rates are in better agreement with the experimental data than those predicted by neglecting the effect of coupled channel mixing     

Charmonium spectroscopy and decay at CLEO-c

We report recent results on charmonium spectroscopy and decay from the CLEO-c experiment at the Cornell electron-positron storage ring accelerator,CESR.Most of the results are based on the analysis of 54 pb-1 of luminosity collected at the ψ(2S) resonance,corresponding to 27 M ψ(2S) decays.We concentrate on radiative decays of ψ(2S) and J/ψ,on two-body mesonic decay of χcJ,on hadronic decay of the hc,and on higher multipoles in the two-photon cascade ψ(2S)→γχcJ,χcJ→γJ/ψ.     

Search for higher laying charmonium states and charmed hybrids in experiments using antiproton beam with momentum ranging from 1 GeV/<Emphasis Type="Italic">c</Emphasis> to 15 GeV/<Emphasis Type="Italic">c</Emphasis>

The elaborated analysis of spectrum of scalar and vector charmonium states in the mass region above D[`(D)]D\bar D — threshold is given. The combined approach based on the potential model and relativistic spherical symmetric top model for decay products has been proposed. Ten radial excited states of charmonium in the mass region above D[`(D)]D\bar D — threshold are anticipated to exist in the framework of the combined approach. The experimental data from different collaborations were analyzed. Especial attention was given to the new states with the hidden charm discovered recently. Eight of these states may be interpreted as higher laying radial excited charmonium states. But much more data on different decay modes are needed for deeper analysis. These data can be derived directly from the experiments using high quality antiproton beam with the momentum ranging from 1 GeV/c to 15 GeV/c (PANDA experiment at FAIR).     

Charmonium-the 1P1 state

Based on a model which gives agreement with the observed hyperfine and fine splitting of the charmonium states, we predict the mass of ¹p₁ to be 3372 MeV, substantially lower than any previous predicted values. We have also estimated branching ratios and decay rates for the production of this state via channels which become accessible because of its low mass.     

Hadron molecules

We discuss a possible interpretation of the open charm mesons D*s0 (2317),D s1 (2460) and the hidden charm mesons X(3872),Y(3940) and Y(4140) as hadron molecules.Using a phenomenological Lagrangian approach we review the strong and radiative decays of the D* s0 (2317) and D s1 (2460) states.The X(3872) is assumed to consist dominantly of molecular hadronic components with an additional small admixture of a charmonium configuration.Determing the radiative (γJ/ψ and γψ(2s)) and strong (J/ψ2π and J/ψ3π) decay modes we show that the present experimental observation is consistent with the molecular structure assumption of the X(3872).Finally,we give evidence for molecular interpretations of the Y(3940) and Y(4140) related to the observed strong decay modes J/ψ+ω or J/ψ+φ,respectively.     

A Partial Width Calculation of OZI-Allowed Charmonium Decays in a Coupled Channel Framework

Okubo–Zweig–Iizuka-allowed partial decay widths, masses, and total decay width of charmonium states are studied in a nonrelativistic coupled-channel framework based on microscopic effective quark interactions. With the help of the complex scale transformation, the coupled channel equation is easily solved under the proper boundary condition for resonances. The obtained result as a whole is very successful and encouraging for the traditional charmonium states including ψ(4040) whose features of mass and partial decay widths have been argued historically. The coupling mechanisms of these states are investigated by reducing artificially the channel coupling strengths little by little and finally turning the coupling off. The situations turn out to be quite different from what we would have naively supposed. Other solutions than the traditional charmonium states were obatined at the same time. Some of them are discussed in relation with new particles observed recently.     

粲夸克偶素强衰变之谜

北京正负电子对撞机的最新实验研究结果在高灵敏度水平上展出了粲夸克偶素物理中的强衰变之谜，新反常衰变道的发现突破了这个谜的原有图像，对理论提出了新的挑战。     

ηb decay into charmonium in association with c(c) pair

We calculate the inclusive decay rates of ηb into charmonium via double cc pairs for S- and P-wave states ηc, J/ψ and χcJ within the framework of non-relativistic QCD (NRQCD) factorization at leading order in αs. Besides calculating the contributions of the color-singlet channels ηb→c(c)[2S+1Sl(1)]+c(c), the effects of c(c) pair in the color-octet configurations are also considered. We find that ηb→c(c)[3S1(8)]+c(c) make a small contribution to Br(ηb→J/ψ(ηc)+c(c)). While in ther ηb→χcJ+c(c) case, the color octet contributions are significant, for they are of the same αs4vc5 order as the color-singlet processes. We predict Br(ηb → J/ψ(ηc)+c(c)) = 2.99(2.75) × 10-5 for S-vrave states J/ψ and ηc, and Br(ηb→χcJ +c(c))= (4.37,3.40,2.83)×10-5 (for J = 0,1,2) for P-wave states χcJ. In the end, we also find Br(ηb → c(c)c(c)) is almost saturated by ηb decay into charmonium in association with cc pair from the point of view of duality.     

Dynamical relativistic corrections to the leptonic decay width of heavy quarkonia

We calculate the dynamical relativistic corrections, originating from radiative one-gluon exchange, to the leptonic decay width of heavy quarkonia in the framework of a covariant formulation of light-front dynamics. Comparison with the non-relativistic calculations of the leptonic decay width of J = 1 charmonium and bottomonium S-ground states shows that relativistic corrections are large. Most importantly, the calculation of these dynamical relativistic corrections legitimate a perturbative expansion in , even in the charmonium sector. This is in contrast with the ongoing belief based on calculations in the non-relativistic limit. Consequences for the ability of several phenomenological potentials to describe these decays are described. Received: 6 December 2001 / Published online: 5 April 2002     

Production of chi(c1) and chi(c2) in pp collisions at sqrt[S] = 1.8 TeV

We have measured the ratio of prompt production rates of the charmonium states chi(c1) and chi(c2) in 110 pb(-1) of pp collisions at sqrt[s] = 1.8 TeV. The photon from their decay into J/psi(gamma) is reconstructed through conversion into e+e- pairs. The energy resolution this technique provides makes the resolution of the two states possible. We find the ratio of production cross sections sigma(chi(c2))/sigma(chi(c1)) = 0.96+/-0.27(stat)+/-0.11(syst) for events with pT(J/psi) > 4.0 GeV/c, /eta(J/psi)/ < 0.6, and pT(gamma) > 1.0 GeV/c.     

A search for radially excited charmonium states in experiments with low-energy antiproton beams

A spectrum of radially excited charmonium states is calculated for the model of relativistic spherically symmetric top for decay products. Within the integral formalism, the widths of these states are calculated for hadron resonance decay. Mass and width values obtained are in good agreement with the results of experiments. Six new radially excited charmonium states are predicted above the D-pair generation threshold equal to 3.73 GeV/s; three of them are experimentally confirmed. The possibility of application of antiproton beams with momentum from 1 to 15 GeV/s for charmonium spectroscopy is discussed, especially for masses exceeding the threshold of D-pair generation. The advantage of antiproton beams is that intensive generation of particle-antiparticle pairs is observed during antiproton-proton annihilation. This fact allows spectroscopic investigations to be performed with sufficient statistics and good accuracy. Therefore, masses and widths of scalar and vector charmonium states can be measured with high accuracy. __________ Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 12, pp. 66–73, December, 2007.     

Exotic and excited-state meson spectroscopy and radiative transitions from lattice QCD

We discuss recent progress in extracting the excited meson spectrum and radiative transition form factors from lattice QCD.We mention results in the charmonium sector,including the first lattice QCD calculation of radiative transition rates involving excited charmonium states,highlighting results for high spin and exotic states.We present recent results on a highly excited isovector meson spectrum from dynamical anisotropic lattices.Using carefully constructed operators we show how the continuum spin of extracted states can be reliably identified and confidently extract excited states,states with exotic quantum numbers and states of high spin.This spectrum includes the first spin-four state extracted from lattice QCD.We conclude with some comments on future prospects.     

Wave-function-based characteristics of hybrid mesons

We propose some extensions of the quark potential model to hybrids, fit them to the lattice data and use them for the purpose of calculating the masses, root mean square radii and wave functions at the origin of the conventional and hybrid charmonium mesons. We treat the ground and excited gluonic field between a quark and an antiquark as in the Born-Oppenheimer expansion, and use the shooting method to numerically solve the required Schrödinger equation for the radial wave functions; from these wave functions we calculate the mesonic properties. For masses we also check through a Crank Nichelson discretization. For hybrid charmonium mesons, we consider the exotic quantum number states with J ^PC = 0^+?, 1^?+ and 2^+?. We also compare our results with the experimentally observed masses and theoretically predicted results of the other models. Our results have implications for scalar form factors, energy shifts, magnetic polarizabilities, decay constants, decay widths and differential cross-sections of conventional and hybrid mesons.     

Charmonium production inB-decays

We calculate partial widths for the decay of theB-meson into all possible charmonium states and estimate the corresponding branching ratios.     

Decay dynamics of Eu/Tb in solution-processed Y2O3

As new synthesis techniques are developed to create phosphors with smaller particles the physical processes that govern luminescence behaviors, like efficiency and decay rates, are influenced by the large surface-to-volume ratios of the nano-structured materials. Decay of lanthanide excited states, following pulsed laser excitation, is used to probe the affect of size-induced decay channels on the luminescent properties. We report results on the decay dynamics of europium and terbium excited states in solution-produced yttrium oxide. Radiative decay from the Eu³⁺⁵D₀ state is found to be well described by a single exponential function over a range of concentrations (0.01-2.0%). The Tb³⁺⁵D₄ decay exhibits a distribution of decay rates over the concentration range 0.01-5.0%. The distribution of decay rates is discussed using a probability density function based on the Kohlrausch decay function.     

New research of charmonium over D \bar D threshold using the antiproton beam with momentum ranging from 1 to 15 GeV/c

The spectroscopy of charmonium c $\bar c$ is discussed. It is a good testing tool for the theories of strong interactions, including: QCD in both the perturbative and non-perturbative regimes, LQCD, potential models and phenomenological models. For this purpose an elaborated analysis of the charmonium spectrum is given, and attempts to interpret recent experimental data in the above D $\bar D$ threshold region are considered. Experiments using antiproton beams take advantage of the intensive production of particle-antiparticle pairs in antiproton-proton annihilations. Experimental data from different collaborations are analyzed with special attention given to new states with hidden charm that were discovered recently. Some of these states can be interpreted as higher-laying S, P, and D wave charmonium states. But much more data on different decay modes are needed before firmer conclusions can be made. These data can be derived directly from the experiments using a high quality antiproton beam with momenta ranging from 1 to 15GeV/c.     

Production of P-wave charmonium states in two-particle decays of B c mesons

On the basis of the model of hard one-gluon exchange, the two-particle hadronic decays of B _c mesons into S-and P-wave charmonium states, B _c → X _cc π(ρ), are considered at high momentum transfers and in the nonrelativistic approximation. It is shown that the width with respect to B _c-meson decay into S-wave charmonium states is two times greater than the width with respect to B _c-meson decay into P-wave states and that the yield of J/ψ mesons in the cascade processes of B _c-meson decay via the formation and radiative decay of P-wave charmonium states is approximately 8% of the yield of directly produced J/ψ mesons.