Identification of the Beutler-Fano formula in eigenphase shifts and eigentime delays near a resonance

Eigenphase shifts and eigentime delays near a resonance for a system of one discrete state and two continua are shown to be functionals of the Beutler- Fano formulas using appropriate dimensionless energy units and line profile indices. Parameters responsible for the avoided crossing of eigenphase shifts and eigentime delays are identified. Similarly, parameters responsible for the eigentime delays due to a frame change are identified. With the help of new parameters, an analogy with the spin model is pursued for the S matrix and time delay matrix. The time delay matrix is shown to comprise three terms, one due to resonance, one due to a avoided crossing interaction, and one due to a frame change. It is found that the squared sum of time delays due to the avoided crossing interaction and frame change is unity.Comment: 17 pages, 3 figures, RevTe

Measurement of Mass and Width of the W Boson at LEP

We report on measurements of the mass and total decay width of the W boson with the L3 detector at LEP. W-pair events produced in $\mathrm{e^+e^-}$ interactions between 161 GeV and 183 GeV centre-of-mass energy are selected in a data sample corresponding to a total luminosity of 76.7 pb$^{-1}$. Combining all final states in W-pair production, the mass and total decay width of the W boson are determined to be $\mathrm{M_W}=80.61\pm0.15$ GeV and $\Gamma_{\mathrm{W}}=1.97\pm0.38$ GeV, respectively

Search for Heavy Neutral and Charged Leptons in e+^+e−^- Annihilation at s\sqrt{s} = 183 and 189 GeV

A search for unstable neutral and charged heavy leptons as well as for stable charged heavy leptons is performed at center-of-mass energies $\sqrt{s}$ = 183 and 189 GeV with the L3 detector at LEP. No evidence for their existence is found. We exclude neutral heavy leptons which couple to the electron, muon or tau family, of the Dirac type for masses below 92.4, 93.3 and 83.3 GeV, and of the Majorana type for masses below 81.8, 84.1 and 73.5 GeV, respectively. We exclude unstable charged heavy leptons for masses below 93.9 GeV for a wide range of the associated neutral heavy lepton mass. If the unstable charged heavy lepton decays to a light neutrino, we exclude masses below 92.4 GeV. The production of stable charged heavy leptons with mass less than 93.5 GeV is also excluded

Measurement of an Elongation of the Pion Source in Z Decays

We measure Bose-Einstein correlations between like-sign charged pion pairs in hadronic Z decays with the L3 detector at LEP. The analysis is performed in three dimensions in the longitudinal center-of-mass system. The pion source is found to be elongated along the thrust axis with a ratio of transverse to longitudinal radius of $0.81\pm 0.02 ^{+0.03}_{-0.19}$

Модернизация ректификационной колонны разделения пропан-пропиленовой фракции

Объектом проектирования является ректификационная колонна непрерывного действия для разделения пропан пропиленовой фракции, а также конденсатора-холодильника для конденсации пропилена. Целью работы является расчет ректификационной колонны и конденсатора-холодильника. В ходе расчета колонны был составлен материальный баланс колонны, рассчитано оптимальное флегмовое число и оптимальное значение числа теоретических тарелок. Так же был выполнен конструктивно-механический расчет. Входе которого определили исполнительную марку стали ректификационной колонны, условия прочности и устойчивости, найдены значения толщины стенки цилиндрической обечайки, эллиптических днища и крышки. Произведен расчет штуцеров и фланцев. В технологическом расчете теплообменника был составлен тепловой баланс. РассчитаныThe design object is a continuous distillation column for the separation of propane propylene fraction, as well as a condenser-cooler for condensation of propylene. The aim of the work is to calculate the distillation column and condenser-refrigerator. During the calculation of the column, the material balance of the column was compiled, the optimal reflux ratio and the optimal value of the number of theoretical plates were calculated. A structural and mechanical calculation was also performed. The inlet of which the executive grade of the distillation column was determined, the strength and stability conditions, the wall thickness of the cylindrical shell, elliptical bottom and cover were found. Calculation of fittings and flanges. In the technological calculation of the heat exchanger,