The ionization of the travelling hydrogen negative ion with high velocity in a uniform magnetic field is discussed by using perturbation theory in the first approximation. The choice of the H -ion wave function is illustrated with emphasis. And it is shown that various wave functions of the H-ion affect calculation results. The theoretical cal-culation by using Rotenberg-Stein wave function with five parameters is consistent with the experimental results ob-tained by G. M. STINSON et a1. in 1969.

In evaluating the β-spectrum of atomic H³ a more accurate formula is obtained. in which the first three transitions leading to the Lowest three states of ³He⁺ are treated exactly, and the cJosure approximation is used to estimate the contribution from all excited states with n>3.The formula obtained is compared with what is used by Lyubimov et al.^[1] in determining the neutri-no mass. As a result it has been shown that the formula used by Lyubimov et al. does not yield an adequate accuracy. Especially the end-point energy they obtained may differ from the true value by 13.6 ev, which would cause an uncertainty of the same order inthe value of the neutrino mass.

In catalysis and other surface phenomena, besides affording static influences, such as modifications in energy spectra and wave functions of atoms and molecules in chemisorbed states in contrast with those in free states, the substrate may also show its existence by participating the dynamics. The present article intends to call attention to a class of multiphonon processes which may play a role not to be ignored. The mechanism is explained throagh'the discussion of a few examples.

Fn the present paper, the linear Eliashberg equation is converted into a new integral equation and from it, the following T_C formula is derived analytically in the weak coupling limit:T_c=28/πωlog·(πlog/π_c)μ^*/λ^*-μ^* exp{-1+λ/λ-μ^*}, where In γ=C=0.5772 is the Eater constant.

Asymptotic properties of the master equations for chemical reactive systems whose macroacopic rate equations have more than one stationary state are discussed Itsing generating function method. The systematic singular perturbation expansion method for equation of generating function is generalized to include the case of multi-stationary system beyond the bifurcation point and the following conclusions are proved: For such systems, there is a Gaussian fluctuation before next genuine bifurcation point] a critical fluctuation at a genuine bifurcation point; and a macroscopic fluctuation when the system is on the coexistence line which is determined by the master equation. Furthermore, the relation between the cumulant of generat-ing function and the stochastic potentia 1 is also established. Our discussion, however, is limited to homogeneous system of one variable only.

Within the framework of the Glauber Theory, we divide the many-particle system into two subsystems, formed by the "Valence" particles and the "Sea" particles respectively. Then the multiple scattering amplitudes can also be divided into "sea" - "sea", "sea" - "valence","valence" - "sea", and "valence"- "valence" multiple scattering amplitudes. For the calculation of these different amplitudes, different effective approximate methods are proposed.Finally, the S matrix for the "sea" - "sea ", "sea" - "valence";"valence" - "sea" and "valence" - "valence" processes is, obtained which is physically clear and convenient in calculation.

Whenφ(4030) is considered as a molecule formed from D^* and D^* and not as an excited states of J/φ,then all excited states of J/φ may be described by a wave equation of simple harmonic oscillator, with eigen-values equal to the squared masses of these states. The same conclusion is also obtained for γ particles.

Two new nonlinear σ models, defined on the symmetric coset spaces GL (n,c). ⊕ GL(n,c)/GL (n,c) and GL (n,c)/U(n) respectively, are formulated in this paper.The latter may be useful in discus-sing the four-dimensional Yang-Mills fields.

The influence of massive neutrino upon the clustering processes of cosmological matter in the early Jeans instabi-lity stage has been studied in the standard big bang theory.

Three theorems on amplification of fluctuations at nonequi-librium are proposed: (1) Amplification of a fluctuation is possible within a closed system. (2) The second-order time derivative of Boltzmann's B-quantity may contain terms of nega-tive value. (3) An H-theorem for open systems.It is pointed out in the paper that the fact that micros-copic transition rates are not all identical constitutes the basis of the theorems proposed. And this nonidenticalness is also a fundamental reason why phenomena defying the thermody-namic law in an apparent way (such as life) exist in the course of evolution. It is also pointed out in the paper that at states far from thermal equilibrium it is "selection" instead of "averaging" that works in the statistics of the quantum states. Finally it is speculated that certain key biomolecules such as ATP are situated at Long Zifetime excited states, thus at states far from thermal equilibrium. The biomolecules are large fluctuations produced or amplified during a relaxation process starting from an extreme initial state (even further from equilibrium),and stabilized by solar radiation in the present day. Again, selection takes the place of an averaging which is artificial and which Ievels out the whole set of transition rates.

A method of calculating the coupled channel schrodinger equations is described and the structure of the computing code is given.

The isotropic liquid (I) ⊥ nematic (N) ⊥ smectic A(A) phase diagrams of homologous series of liquid crystals obtained experimentally may be divided into at least 4 types (Fig. la-d) according to the characteristic behavior of T_NI.

Secondary direct and inverse bifurcation sequences exist in the chaotic bands of the primary inverse sequence. In secondary chaotic bands periodicities of the tertiary appear. This has been shown numerically in the forced Brusselator.

The present article describes the calculation of the sub-band structure and atomic plane projected model of newly reported artificial materials,Layered Ultrathin Coherent Strucures (LUCS),by means of the Green's function method in the tight-binding approximation while only taking into account the nearest neighbor matrix elements.A formulation of a more accurate method for he same purpose,in terms of linear combinations of muffin-tin orbitals and interface plane wave orbitals is given in the appendix.

In the present work the group III-metal chemisorptions on both elementary and compound semiconductor surfaces are studied by the cluster model and the charge self-consistent extended Hukel method. Through the calculations,information about the adsorbed sites, charge transfers and the Local densities of states could be obtained.Since the electonic states of the chemisorptions are local, the rusult obtained even by small chusters are in reasonable agreement with those by experiment.

In this paper, by the collective coordinate of A. Bohr, the scattering amp1itudes of two cornpusite many-particle systems can be obtained. And the collective excitation for two complex many-particle systems in the scattering process is discussed.

We have proposed a new method of solving the Faddeev equations, so that the higher partial wave components can be solved uniquely as the lower partial wave components.

We considered the nuclear density oscillation in the picnic atom. It has been found that the density oscillation has no effect on the eigenvalue owing to the electromagnetic interaction between the pion and nucleus. However, the energy shifts due to the strong interaction, depend on the oscillation parmeters of the nuclei. We have taken the oscillation parameters which are compared with theoretical calculation, and obtained better calculation,results of the strong interraction energy shiftsin the pionic atom as compared with experimental ones.

According to Parisi's suggestion, we assume that the gluon possesses a non-zero effective mass μ. From the assumption we derive an effective Hamiltonian up to order β₂ for quarbnium. For μ=0.8GeV and 0.4 GeV, we find the spectra as well as the relative leptonic widths for charmonium upsilon, which are in good agreement with experiment.

The H_n σ-models. i.e., non-linear σ-models taking-values on the symetric coset space SL(n,c)/SU(n), both in two-dimensional and four-dimensional Euclidean space,.are formulated. The relations with self-duel SU(n) Yang-Mills fields are also discussed.

In this paper we have calulated the Higgs potential with the one-loop correction in the SU(3) and SU(5) gauge models. The result shows that the arbitrary gauge hierarchy is doubtful in the peiturbation theory. This is in contrdiction with the conclusion obtained by Mohaptra et al.

Department of Physics, Zhongshan University, Guangzhou, China

We point out that although the neutrino mass is finite,the left-handed neutrino density still dominates over the righthanded one in the universe unless there exists one or more elementary fernions (quark or lepton) whose mass is larger than 10⁶ GeV. or M_WR/M_WL≤10². (M_WLand M_WR are the left and right handed intermediate boson respectively.If there exists neutrino the mass of which is about 34 ev. as indicated in some experiments, then one can conclude that the total neutrino mass of the universe s,bvld contribute abput 99%. to the whole masses and lead to the closeness of the universe.This conclusion can be brought to the agreement of all observation datd which have been-obtained so far. A mass limit of all species of neutrinos obtained by reexamining all data is ≤ 200 eV.

We examine how self-similarity influences the occurrence & nature of singularities in self-similar cosmologies. There exists a density divergence due to a conformal factor in any Self-similar model. If we discuss the singularity problem in an "unphysical" homogeneous model which is conformally related to the self-similar model, it is easy to show-that in a Class D model with -36/2, singularity bebaviour is similar to that in homogeneous comrologies; The Boyer-Ehlers analysis of Killing geodesicsic has been generalized to the self-similar case. Some new Penrosediagrams are given.

In this paper, we propose a simple finite temperature λφ⁴ cosmological model to show that a new type singularity free cosmological model could be established by taing a series of impoftant quantum and statistical effects into consideration such as spontaneoui rymetry breaking, trace anomaly and pirtide creation, symmetry restoration at hish temperature through.phase transition and others. To begin with, the state of the universe would be a cold singu1arity.free and horizon free Beltrami-Anti de Sitter one rather than a hot one. Then associated with the,particle creatipl, the temperature would, become higher and higher and as soon. as the temperature reached a critical value, T_c a second-order phase transition would take place and the universe would transfer to a hot radiation dominated Friedmann state.

The chromaticity formulae with accuracy to the first-order in momentum deviation in strong focusing accelerators & storage rings have been derived. It has been found that the edge magnetic field effects must be taken into account, otherwise the resultant errors intr$duced.will be appreciable which increase rapidly with the decrease in machine size. They can not be neglected especially for proton and antiproton accumulators due to the very large momentum spreah of the beams accumulated in them.

In this paper the coherent state for the negative metric boson is established, which, originating from its particle number representation provides a basis for constructing its coordinate and nomenturn representations in the Euclidean space. However,it is demonstrated by us that these two representations do not exist in the Minkowski space. Thus this formulation provides a physical foundation for the path integral quantiration theory of the negative metric boson in the Euclidean space.

By using a highly accurate variational wave function with 50 parameters for hydrogen molecule^[4] and the wave function of HeH⁺ used by Wolniewicz with 64 parameters^[5], the behavior of the β-spectrum of H-T→ HeH⁺+β^-+νe is discussed. The spectral shape thus obtained deviates remarkably from the β-spectrum of an atomic triton, and hence is different from the for mula used by Lyubimov et al. in determining the neutrino mass. This means that the "atomic approximation" is invalid in describing the molecular β-spectrum of valine, and the conclusion about the value of neutrino mass based upon the analysis of β -spectrum of valine also cannot be regarded as a reliable one. Therefore, in order to obtain ari accurate value of neutrino mass from the β-spectral shape, it is important to investigate the structure of the radioactive source, from which the corection has arisen.

The periodic s-d model is investigated by Green's function methods. A closed set of equations for Green's function of Kondo-lattice system and a formula of single electron self-energy are obtained in the presence of a broken rotational symmetry. The formula can-be used to discuss low temperature anomalous properties of Kondo-lattice system with spontaneous magnetization or in an external magnetic field. We have evaluated the influence of magnetic ordering on logarithmic sin-gularity of electron self-energy by perturbative method to Leading logarithmic order (LLO).The result obtained indiGates there exists a competition between Kondo effect and Zong range magnetic ordering. The static susceptibility in the paramagnetic case has been evaluated, too.

In this paper a review of our work on heterometal interface and heterometal superposed film is made. We have proposed a method for Calculating their electronic band structure from the first principle; which may be represented by "MTO-IPWO-PWO". The "tail cancellation" condition has been generalized to fit these cases and the energy and fundamental formulas have been derived. With this method as a guide, we have suggested the.rule of "Histant Hybridization Superiority" in the case of heterogeneous metal-metal interfaces and a similar rule -in the case of compounds as the necessary conditions for exploring the high T_c superconductors.

A theoretical scheme using closed time-path Green's functions is proposed to describe the quantum statistical properties of the order parameter in terms of.a generating functional.The dynamic ewlutionj,s generated by a driving source, while the statistical correlation by a fluctuation source, The statistical causality is shown to hold explicitly and to give rise to a number of important consequences. The pmbletn of determining the quantum statistical properties for the,order parameter is reduced to finding a solution of the functional equation for it.

Several equivalent,expressions for the generating functional of the order parameter are derived in this paper to elucidate how the statistical properties are incorporated in its field-theoretical structure. It is shown that in the process of determining the generating functional the dynamic evolution and the statistical information can be separated to a certain extent which facilitates solving the problem. The whole procedure is greatly simplified if the statistical correlation is Gaussian or a generalized fluctuation-dissipation theorem (FDT) holds. As an example, the Gaussian character of the thermal-equilibrium distribution is justified and the Matsubara technique.along the imaginary time axis is extended to the real axis to provide a complete perturbation scheme for the closed time-path Green's functions (CTPGF).

A generalized theory of ³He-A phase superfIuid is estab- lisped, which can comprise the Khalatnikov-Lebedev's theory treated as a special case, The starting point of this work is the Zilsel's principle in which the density of the super- fluid component is defined as an independent variable, It has the advantage of including naturally the "healing effect" of ³He-A superfluid liquid, whereby overcoming the difficulties encountered in Khalatnikov-Lebedev's theory.

An Abelian gauge theory enriched with monopoles is shown to be self-dual and can be transformed into a self-dual Abelian Higgs theory.

In this paper we first present the gauge invariant conserved Noether current for the Yang-Mi11s theory, which is nonlocal is some sense. Then we introduce for the two dimensional chiral model, plain and supersymmetric, the nonlocal one-complex parameter-dependent symmetric generators, which shift the Lagrangian density by a total divergence. Both the equations of motion and the energy momentum density are tnvaunt. The associated ically Into infinite Noether current may be expanded analyt-series of nonlocal currents.

The independent particle approximation is used to treat the bound state problems in the quark model. The solution for meson states obtained in this approximation is the same as that obtained from the Bethe-Salpeter equation. The solution for the baryon states is also obtained. The mass spectra of mesons and baryons determined from these equations are in agreement with the experiment.

In this work, the analysis of the space-time manifolds, their kinematic groups and Lie algebras are made as intuitive as possible. First of all, an analysis ofthe inertial frames shows that the space-time manifold in which there exists a global inertial frame should be a pseudo-sphere so that the kinematic group must be a rotation group. Thus the explicit analytical expressions of such kinematical transformations and the commutation relations among the corresponding generators can be formulated easily. Consequently, the contractions of such manifolds,kinematic groups and Lie algebras can be deduced concretely and intuitively.

The homogeneous models of the abnormal neutron stars with abnormal protons were discussed in paper [4]. As its refinement, the inhomogeneous models of the abnormal neutron stars with abnormal protons are discussed in this paper. The results obtained are given in Table 2 and shown in Figs. 1-4.

In this paper the gauge theory of gravitation is discussed. Aspecific exact solution and approximate solution for a charged mass point i n the theory are obtained.

The infrared behavior of the running coupling constant in QCD has been studied using the Schwinger-Dyson equation of the gluon propagator based on the Slavnov-Taylor identities in axial gauge. It is shown that the infrared running coupling constant behavior g^-2(Q²)=g²(μ²/Q²) in the infrared limit Q²/μ²→0.