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Title: {eta}{sub c}-glueball mixing and resonance X(1835)

Abstract

The mixing of {eta}{sub c} and the lowest mass pseudoscalar glueball is estimated within the framework of the instanton liquid model. It is demonstrated that the mixing is large and may explain the difference between the observed mass of the glueball candidate X(1835) and the theoretical prediction of the QCD sum rule analysis.

Authors:
 [1];  [2];  [1]
  1. School of Physics and Center for Theoretical Physics, Seoul National University, Seoul 151-747 (Korea, Republic of)
  2. (Russian Federation)
Publication Date:
OSTI Identifier:
20713890
Resource Type:
Journal Article
Resource Relation:
Journal Name: Physical Review. D, Particles Fields; Journal Volume: 72; Journal Issue: 9; Other Information: DOI: 10.1103/PhysRevD.72.097502; (c) 2005 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; GLUEBALLS; INSTANTONS; QUANTUM CHROMODYNAMICS; RESONANCE PARTICLES; REST MASS; SUM RULES

Citation Formats

Kochelev, Nikolai, BLTP, JINR, Dubna, Moscow region, 141980, and Min, D.-P. {eta}{sub c}-glueball mixing and resonance X(1835). United States: N. p., 2005. Web. doi:10.1103/PhysRevD.72.097502.
Kochelev, Nikolai, BLTP, JINR, Dubna, Moscow region, 141980, & Min, D.-P. {eta}{sub c}-glueball mixing and resonance X(1835). United States. doi:10.1103/PhysRevD.72.097502.
Kochelev, Nikolai, BLTP, JINR, Dubna, Moscow region, 141980, and Min, D.-P. Tue . "{eta}{sub c}-glueball mixing and resonance X(1835)". United States. doi:10.1103/PhysRevD.72.097502.
@article{osti_20713890,
title = {{eta}{sub c}-glueball mixing and resonance X(1835)},
author = {Kochelev, Nikolai and BLTP, JINR, Dubna, Moscow region, 141980 and Min, D.-P.},
abstractNote = {The mixing of {eta}{sub c} and the lowest mass pseudoscalar glueball is estimated within the framework of the instanton liquid model. It is demonstrated that the mixing is large and may explain the difference between the observed mass of the glueball candidate X(1835) and the theoretical prediction of the QCD sum rule analysis.},
doi = {10.1103/PhysRevD.72.097502},
journal = {Physical Review. D, Particles Fields},
number = 9,
volume = 72,
place = {United States},
year = {Tue Nov 01 00:00:00 EST 2005},
month = {Tue Nov 01 00:00:00 EST 2005}
}
  • Reactions between Ru(C{sub 2}Me)(PPh{sub 3}){sub 2}({eta}-C{sub 5}H{sub 5}) or Ru(C{sub 2}Ph)(L){sub 2}({eta}-C{sub 5}H{sub 5}) (L{sub 2} = (PPh{sub 3}){sub 2}, dppe, (CO)(PPh{sub 3})) and (CF{sub 3}){sub 2}C=C(CN){sub 2} gave the corresponding {sigma}-cyclobutenyl complexes, of which Ru(C=CPhC(CF{sub 3}){sub 2}C(CN){sub 2})(CO)(PPh{sub 3})({eta}-C{sub 5}H{sub 5}) (1g) was fully characterized by X-ray crystallography. Thermal isomerization of the dppe and (CO)(PPh{sub 3}) complexes to the {sigma}-buta-1,3-dien-2-yl derivatives occurred; under CO, two isomers of Ru(C(=C(CN){sub 2})CMe=C(CF{sub 3}){sub 2})(CO)(PPh{sub 3})({eta}-C{sub 5}H{sub 5}) were formed. The X-ray structures of one of these (2h), and the phenyl analogue (2g), were determined. The allyls Ru({eta}{sup 3}-C(CF{sub 3}){sub 2}CXC=C(CN){sub 2})(PPh{sub 3})({eta}-C{submore » 5}H{sub 5}) (X = Me (3d), Ph (3g)) were obtained thermally or photochemically; the structure of 3g was also determined, thus completing the series {sigma}-cyclobutenyl, {sigma}-butadienyl, {eta}{sup 3}-allyl derived from the same metal/ligand combinations. Crystal data for 1g: orthorhombic, space group P2{sub 1}2{sub 1}2{sub 1}, a = 10.409 (2) {angstrom}, b = 16.227 (3) {angstrom}, c = 20.000 (3) {angstrom}, Z = 4; 2,851 data were refined to R = 0.040, R{sub w} = 0.041. Crystal data for 2g; monoclinic, space group P2{sub 1}/n, a = 14.942 (1) {angstrom}, b = 13.413 (2) {angstrom}, c = 16.928 (6) {angstrom}, {beta} = 97.02 (1){degree}, Z = 4; 3,659 data were refined to R = 0.045, R{sub w} = 0.059. Crystal data for 2h: monoclinic, space group C2/c, a = 22.237 (4) {angstrom}, b = 18.648 (5) {angstrom}, c = 17.731 (3) {angstrom}, {beta} = 124.93 (2){degree}, Z = 8; 3,076 data were refined to R = 0.039, R{sub w} = 0.042.« less
  • Ruthenium methoxide dimer (Cp*Ru({mu}-OMe)){sub 2} (1, Cp* = {eta}{sup 5}-C{sub 5}Me{sub 5}) is produced by reaction of (Cp*RuCl{sub 2}){sub 2} or Cp*RuCl{sub 2}(pyr) with NaOMe in methanol or by reaction of CP* (PCy{sub 3})RuCl with LiOMe in methanol. Compound 1 is best prepared in pure form (in 84% yield) by reaction of the tetranuclear cluster (Cp*RuCl){sub 4} with 4 equiv of LiOMe in methanol. An X-ray crystallography study revealed that 1 has a dimeric structure with bridging methoxy ligands. The dimer is folded along the O{hor ellipsis}O axis, with a fold angle of 124.3{degree}. Complex 1 crystallizes in the monoclinicmore » space group C2/c with a = 15.821 (8) {angstrom}, b = 6.659 (3) {angstrom}, c = 21.51 (1) {angstrom}, {beta} = 103.32 (3){degree}, Z = 8, V = 2,205 (2) {angstrom}{sup 3}, and R{sub F} = 2.17%. Ethoxide dimer (Cp*Ru({mu}-OEt)){sub 2} (2), prepared from (Cp*RuCl){sub 4} and LiOEt in ethanol, combines with carbon monoxide to form the adduct (Cp*(CO)Ru({mu}-OEt)){sub 2} (3). Compound 3 crystallizes in tetragonal space group P{anti 4}2{sub 1}C with a = 26.22 (2) {angstrom}, c = 8.709 (5) {angstrom}, Z = 8, V = 5,986 (6) {angstrom}{sup 3}, and R{sub F} = 5.68%. An analogous adduct of 1, (Cp*(CO)Ru({mu}-OMe)){sub 2} (4), is observed by {sup 1}H NMR but is unstable in solution, eventually decomposing to (Cp*Ru(CO)({mu}-CO)){sub 2}. Reaction of LiO-2,6-{sup t}bu{sub 2}c{sub 6}H{sub 3} with (Cp*RuCl){sub 4} in toluene gives the {eta}{sup 5}-oxocyclohexadienyl complex Cp*Ru({eta}{sup 5}-2,6-{sup t}Bu{sub 2}C{sub 6}H{sub 3}O) (5), which was crystallographically characterized. Compound 5 crystallizes in space group P2{sub 1}/n with a = 12.203 (3) {angstrom}, b = 10.028 (3) {angstrom}, c = 18.414 (4) {angstrom}, {beta} = 99.11 (2){degree}, Z = 4, V = 2,225 (1) {angstrom}{sup 3}, and R{sub F} = 3.03%.« less
  • The decay channel J/{psi}{yields}{gamma}{pi}{sup +}{pi}{sup -}{eta}{sup '} is analyzed using a sample of 5.8x10{sup 7} J/{psi} events collected with the BESII detector. A resonance, the X(1835), is observed in the {pi}{sup +}{pi}{sup -}{eta}{sup '} invariant-mass spectrum with a statistical significance of 7.7{sigma}. A fit with a Breit-Wigner function yields a mass M=1833.7{+-}6.1(stat){+-}2.7(syst) MeV/c{sup 2}, a width {gamma}=67.7{+-}20.3(stat){+-}7.7(syst) MeV/c{sup 2}, and a product branching fraction B(J/{psi}{yields}{gamma}X){center_dot}B(X{yields}{pi}{sup +}{pi}{sup -}{eta}{sup '})=[2.2{+-}0.4(stat){+-}0.4(syst)]x10{sup -4}. The mass and width of the X(1835) are not compatible with any known meson resonance. Its properties are consistent with expectations for the state that produces the strong pp mass thresholdmore » enhancement observed in the J/{psi}{yields}{gamma}pp process at BESII.« less
  • One mechanism that has been implicated in the transition-metal-catalyzed isomerization of alkenes is the reversible formation of an {eta}{sup 3}-allyl (hydrido) intermediate (Scheme I) by oxidative addition of an allylic C-H bond to the metal. While a small number of well-characterized {eta}{sup 3}-allyl (hydrido) complexes have now been synthesized, in no case has the crucial step of allylic C-H activation been observed starting from the well-defined alkene complex. To their knowledge, only one previous study mentions the photochemical formation of an {eta}{sup 3}-allyl (hydrido) complex. Here they report that photolysis of the propene complex Cp*Re(CO){sub 2}(C{sub 3}H{sub 6}) (1) (Cp*more » = {eta}{sup 5}-C{sub 5}Me{sub 5}) results in the formation of the {eta}{sup 3}-allyl (hydrido) complex Cp*Re(CO)(H)({eta}{sup 3}-C{sub 3}H{sub 5}) (2). Furthermore, they have been successful in isolating the exo and endo isomers of 2, differing in the orientation of the {eta}{sup 3}-allyl group, and the structures of both have been determined by X-ray crystallography.« less
  • Reaction of optically pure (S,S)-butadiene diepoxide (1) with 2 equiv of Grignard reagent ArMgBr (Ar = 2-CF{sub 3}C{sub 6}H{sub 4} or 3,5-Me{sub 2}C{sub 6}H{sub 3}) in the presence of copper(I) iodide produces the chiral substituted diphenylbutanediols (dpbd) (2S,3S)-ArCH{sub 2}CH(OH)CH(OH)CH{sub 2}Ar (Ar - 2-CF{sub 3}C{sub 6}H{sub 4} (2), abbreviated 2-CF{sub 3}-dpbdH{sub 2}; Ar = 3,5-Me{sub 2}C{sub 6}H{sub 3} (3), abbreviated 3,5-Me{sub 2}-dpbdH{sub 2}). The mono(pentamethylcyclopentadienyl) halide complex ({eta}-C{sub 5}Me{sub 5})TiCl{sub 3} reacts with 1 equiv of diol 2 in the presence of triethylamine to produce the dimeric species [({eta}-C{sub 5}Me{sub 5})TiCl({mu}-{eta}{sup 1},{eta}{sup 1}-2-CF{sub 3}-dpbd)]{sub 2} (4). An analogous reaction employing themore » zirconium halide ({eta}-C{sub 5}Me{sub 5})ZrCl{sub 3} and the diol 3 leads to isolation of the salt complex [HNEt{sub 3}][({eta}-C{sub 5}Me{sub 5}){sub 2}Zr{sub 2}Cl{sub 2}({mu}-Cl)({mu}-{eta}{sup 1},{eta}{sup 2}-3,5-Me{sub 2}-dpbd){sub 2}] (5). Compounds 4 and 5 have been subjected to single-crystal X-ray diffraction studies. The solid-state structure of 4 consists of two titanium metal centers, each bearing a pentamethylcyclopentadienyl ligand and a terminal chloride ligand, bridged by two diolate ligands such that a central 10-membered ring is formed.« less