Semiclassical theory of the scattering of π-mesons by nucleons in the case of strong coupling. Part I

The scattering cross section of the reaction + N N + , + N N + is calculated by the semiclassical method. It is predicted that the latter reaction occurs through N** resonance. The mass of this resonance, the spin, and isospin are found. The zero approximation with respect to the coupling constant between the - and -mesons is considered.     

Spin-orbit coupling in the chlorobenzene molecule

The possible ways of drawing of the intensity of the S₀ T* transition in the chlorobenzene molecule are investigated. The effective spin-orbit coupling of either S* or S* states with the T* state leads to the out-of-plane polarized component of phosphorescence in the chlorobenzene. The in-plane polarized component cannot be explained by the mechanism under consideration — by drawing of intensity of the S₀ S₀* transitions through spin-orbit coupling of first order.Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 8, pp. 134–138, August, 1974.     

Energy structure and photodissociation mechanism for the diazonium cation

Conclusions We have examined the absorption spectra of DS and the dependence of the quantum yield in photodissociation of DC on exciting wavelength, which has shown that the electronic structure of DC allows one to observe *transitions and also n* and * ones, with the a orbital localized on the dissociating C-N bond. The formation of long-lived³(*) excitation leads the DC to dissociation into a neutral nitrogen molecule and an ary1 cation in the triplet state.Translated from Zhurnal Prikladnoi Spektroskopii, Vol. 41, No. 5, pp. 803–809, November, 1984.     

Reflection electron energy-loss spectra of the fullerenes C60 and C70

High purity polycrystalline samples of C₆₀ and C₇₀ were obtained and studied by the electron energy-loss spectroscopy in the reflection mode. The spectra were used for determination of the loss functions of fullerenes. Loss functions of the fullerenes were compared with those of graphite. It was established that the relative intensities of the peaks corresponding to (+)- and -plasmons depended on the primary electron energy, while the (+)-plasmon energies did not depend on the primary electron energy and were equal to 25.0 eV for C₆₀ and 24.8 eV for C₇₀. The conclusion on the space localization for plasma occilations in fullerenes was made on the base of the study of the energy dependent loss functions.     

The strength of Einstein's equations

The strength of Einstein's empty-space field equations is computed anew and shown to be equal to the amount of initial data required for a local solution of the equations. This same amount of initial data is shown to be precisely that required for a set of 16 unknown first-order differential equations containing 10 field variables and having six identities of second order. The 10 field variables must be functions of second order in the metric coefficients. The 16 field equationsC , = 0 whereC is Weyl's conformal tensor, are shown to have the same properties as those of the unknown equations, suggesting thatC = 0 is a satisfactory local first-order formulation of Einstein's second-order empty-space field equations.     

Unitarity equations and structure of theS-matrix at them-particle threshold in a theory with purem→m interaction

The structure of theS-matrix at them-partical thresholds=(m)² of amm process (m2) inv-dimensional space-time is determined in a theory with a simplified unitarity equation corresponding to a puremm interaction. If (m–1)(v–1) is odd, a two-sheeted, square-root type structure is obtained as in the usual case of two-particle thresholds in dimension 4. The nature of the singularity is more complicated if (m–1)(v–1) is even (e.g.m=3 in dimension 4). Results obtained in this case include an orthogonal decomposition of the scattering functionT with nonholomic eigenvalues of the form [1/2iln+b _i ()]^–1 [where =(m)²–s andb _i is uniform around =0] and a related infinite expansion ofT in powers of ln involving an on-shell irreducible kernelU which is the analogue for (m–1)(v–1) even of Zimmerman'sK-matrix.     

Scalar mesons in ππ and K¯K scattering

The s-wave pion scattering amplitude is analysed with the aim to clarify the mass spectrum of scalar mesons and to find evidence of lightest glueball. The S-matrix and K¯K coupled channel formalism is used. The existence of scalar mesons S^* and is implied by the data. The production K¯K and the elastic K¯KK¯K coupled amplitudes are predicted from the scattering data. The couplings c f S^* to and K¯K states are determined.     

Polarization of the secondary nucleons in thepp → ppπ 0 andpp→npπ+ reactions at 1000 MeV

The calculation of the secondary nucleons polarization in thepppp⁰ andppnp⁺ reactions at 1000 MeV is effected in the framework of the one-pion exchange model. It is shown that polarization is due to the interference of the resonant amplitude with the non-resonant amplitudes of theN virtual scattering. The angular dependence of the polarization is sensitive to the behaivour of theN scattering amplitudes off the mass shell.Submitted to the symposium Mesons and Light Nuclei, Liblice, Czechoslovakia, June 1981.     

Study of fermilab data for the reaction π−p → π0n

Fermilab data for the angular distribution measurements of the reaction ^–p ⁰n are investigated and it is shown that a good fit with experiment is obtained by using a simple Regge pole model with phenomenological residue functions. The energy dependence in this case is found to be different from that for the d/dt data obtained at Serpukhov.Work supported by the Pakistan Science Foundation under contract No. P-PU-PHY(11/1).     

Random walks on cubic lattices with bond disorder

We consider diffusive systems with static disorder, such as Lorentz gases, lattice percolation, ants in a labyrinth, termite problems, random resistor networks, etc. In the case of diluted randomness we can apply the methods of kinetic theory to obtain systematic expansions of dc and ac transport properties in powers of the impurity concentrationc. The method is applied to a hopping model on ad-dimensional cubic lattice having two types of bonds with conductivity and ₀=1, with concentrationsc and 1–c, respectively. For the square lattice we explicitly calculate the diffusion coefficientD(c,) as a function ofc, to O(c²) terms included for different ratios of the bond conductivity. The probability of return at long times is given byP ₀(t) [4D(c,)t]^–d/2, which is determined by the diffusion coefficient of the disordered system.     

The modular group and super-KMS functionals

Every normal, faithful, self-adjoint functional on a von Neumann algebraA canonically determines a one-parameter-weakly continuous *-automorphism group (the analog of the modular group) and a canonical ₂ grading onA, commuting with . We show that the functional satisfies the weak super-KMS property with respect to and Furthermore, we prove that and are the unique pair of a-weakly continuous one-parameter *-automorphism group and a grading of the algebra, commuting with each other, with respect to which is weakly super-KMS. The above results thus provide a complete extension of the theory of Tomita and Takesaki to the nonpositive case.Supported in part by the National Science Foundation under Grant DMS-8922002.     

Luminescent Properties of Metal Porphyrin Reduction Products

We have investigated the luminescent properties of -anions in Zn and Pd complexes of octaethylporphin and etioporphyrin, and also of protonation products of -dianions (-monoanions of phlorins). It is established that the quantum yield of luminescence of -anion radicals in Zn complexes amounts to 2.9·10^–4. The lifetime of the lower excited (doublet) state is estimated to be 120 ± 25 nsec. We failed to reveal the luminescence of -dianions. In reducing the Pd porphyrins into -anion radicals and -dianions, a loss of the luminescent properties is observed. However, the -monoanion of phlorin in Pd octaethylporphin luminesces. The Zn complex of the phlorin anion also has the same properties. The spectral properties of Zn and Pd phlorin anions are similar: a large Stokes shift is observed at room temperature; on decrease in the temperature to 77 K the fluorescence spectrum becomes narrower, the maximum of the spectrum shifts strongly to the blue region, and the quantum yield of luminescence increases. The special features of the spectral properties of phlorin anions are explained by conformation changes in the excited state. It is found that in a solution at room temperature Pd phlorin anions quench the phosphorescence of neutral Pd porphyrins.     

Calculation of the differential and total cross sections of γπ interactions

The differential and total cross sections of the processes and 3 are calculated on the basis of the vector-dominance model and current algebra. Up to a photon energy of order 1 GeV, the cross sections of these processes are very small, and it is only in the region of the resonance that values 0.01–0.05 mb are reached.Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 9, pp. 84–88, September, 1980.I am very grateful to Professor M. P. Rekalo for constant interest in the work.     

Spectral-Luminescent Properties of Polysilanes with Asymmetric Side Groups

From the point of view of the segmental model, the relation between the chemical structure of the side groups and the spectral-luminescent properties of solutions and polymer films of poly(methyl-n-hexyl) silane, poly(methyl-cyclohexyl) silane, and poly(methyl-phenyl) silane (PMPS) has been analyzed. It has been shown that the energies of ¹(^*)-transitions depend on both the stereochemical factors influencing the main-chain conformation and segment lengths and the effects of mixing of the states of - and -electrons in PMPS. It has been established that the chemical structure of the side groups dictates the changes in the luminescence spectra taking place upon photodegradation or high-temperature annealing of the films.     

A new approach to the problem of the anomalous magnetic moment of the electron

A heuristic model for deriving the anomalous magnetic moment of the electron is presented. A term /2 – 0.327(/)² is deduced, in better agreement with experiment than is the QED derivation of /2 – 0.328(/)². The result is strengthened by the recent non-QED account of the Lamb shift by Yu and Sachs.     

Weinberg Angle and Pion Beta Decay in the Spinor Strong Interaction Theory

From an isospin SU(2) × hypercharge U(1)gauge-invariant meson action for K⁺,^{+ +}, a prediction ofthe Cabbibo angle was obtained earlier. Using anotherresult of the spinor strong interaction theory that the s quark is only a littleheavier than the d quark, the above action can beextended to a weakly broken SU(3) one. The Weinbergangle is found to be 30° in the limit of this SU(3)symmetry. In the approximation and context entailing thislimit, the Weinberg angle can be removed from the listof undetermined fundamental parameters in electroweaktheory. The spinor strong interaction Lagrangian used above and applied to the decay⁺ e⁺ is shown tohold for ^{+ 0}e⁺ as well, renderingthe conserved vector current hypothesis hithertorequired to account for the latter decaysuperfluous.     

Quantum Chemical Calculation of the Spectral Luminescent and Physicochemical Properties of Anisidines

The influence of the position of a methoxy group in the phenyl radical of aniline on the spectral, geometric, and photophysical characteristics, and also on the proton-donating and proton-accepting properties of the free molecules of o-, m-, and p-anisidines is investigated by the methods of electron spectroscopy and quantum chemistry. The energy levels of the singlet and triplet states of anisidines are calculated. For all the anisidines the band in the intermediate spectral region is shown to be formed by two electron transitions of the ^*- and ^* type of different intensity.     

Study of Fermilab data for the reaction π− p→ηn

Fermilab data for the angular distribution measurements of the reaction ^– p n are investigated and it is shown that a good fit with experiment is obtained by using a simple Regge pole model with phenomenological residue functions. The energy dependence in this case is found to be different from that for the d/dt/ data obtained at Serpukhov.Work supported by the Pakistan Science Foundation under contract No. P-PU-PHY(11/1).     

H+H2O reaction dynamics: state distribution for the OH product

A method has been developed to study the dynamics of high barrier reactions by combining hot-atom production by laser photolysis and fast-product detection by laser induced fluorescence. The nascent OH rotational, vibrational and fine structure state distributions produced in the endothermic reaction have been measured with hot hydrogen atoms from the photodissociation of HBr at 193 nm. OH rotational excitation is low and corresponds to a partitioning of only around 3% of the total reaction energy to OH rotation. OH could only be observed in the vibrational ground state, i.e.(v=1)/(v=0)0.1. The OH spin doublets are produced statistically, but the partitioning in the -doublets is very non-statistical with a strong preference for the ⁺-component ((⁺)/(^–)=3.2±1.0) demonstrating the exit channel of the reaction to be preferentially planar. By measuring reactant and product densities at short times, an absolute total cross-section of 0.24±0.1[Ų] has been obtained.