Abstract: A polymer of the invention comprising the comonomers ethylene, one or more alpha-olefins having 3 to 20 carbon atoms, and one or more cyclic dienes having up to 30 carbon atoms, said polymer having a density of at least 0.890 gram per cubic centimeter; long chain branching; a plurality of double bonds; an Mw/Mn ratio ratio (PDI) of at least 2.5; a flow activation energy of greater than about 6.5 kcal/mol; and a Relaxation Spectrum Index (RSI), PDI, and Melt Index (MI), such that RSI·MIa>2.7 and RSI·MIa·PDIb is in the range of about 0.8 to about 60, when a and b are about 0.6 and minus 1.2, respectively.

Abstract: Ethylene polymers having a) a Polydispersity Index of about 2 to about 4; b) a melt index, MI, and Relaxation Spectrum Index, RSI, such that (RSI)(MI.sup.0.6) is about 2.5 to about 6.5; c) a Crystallizable Chain Length Distribution Index, L.sub.w /L.sub.n, of about 1.0 to about 9; and d) a density, .rho., and a percent haze when fabricated into films such that the percent haze is less than 370.rho.-330, are provided. These ethylene polymers advantageously combine superior clarity and toughness with low extractables and enhanced processing ease.

Abstract: An ethylene polymer havinga) a Polydispersity Index, PDI, of about 3 to 9;b) an nRSI of about 5 to about 18;c) a cRSI of about 1.1 to 3.0;d) a Composition Distribution Index, CDI(100), greater than about 45; ande) a log-viscosity ratio, log(.eta.0/[.eta.]), of about 0.5 to about 1.5 is described. The ethylene polymer has improved processability over conventional linear low density polyethylene.

Abstract: An ethylene polymer having a Polydispersity Index of at least about 3.0, a melt index, MI, and a Relaxation Spectrum Index, RSI, such that (RSI)(MI.sup..alpha.) is greater than about 26 when .alpha. is about 0.7, and a Crystallizable Chain Length Distribution Index, L.sub.w /L.sub.n, less than about 3 is provided. Such ethylene polymer has processability equivalent or superior to even conventional high pressure polyethylene at similar melt index, yet need not be made under high pressure reaction conditions.

Abstract: A process comprising:(a) introducing a mixture comprising one or more alpha-olefins, carbon monoxide, and, optionally, one or more dienes into a reaction zone under polymerization conditions;(b) contacting the mixture with a catalyst prepared by a process comprising:(i) providing a transition metal in the zero valence state adsorbed on a support;(ii) reacting the supported metal with an oxidant to form a supported compound wherein the metal has a positive valence;(iii) ligating the supported compound with a ligand; and(c) introducing a reoxidant into the reaction zone to maintain the positive valence of the metal.