1983年, 第2卷, 第2期　
刊出日期：1983-03-30

  

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  THE APPROXIMATE B-S WAVE FUNCTIOPiS FOR (XU) ATOM AND THE DECAY RATE FOR E°→(∑⁺μ^-)+ν_μ

  宋孝同, 庆承瑞, 何炸麻

  理论物理通讯. 1983, 2(2): 935-941.

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  In this paper, the Bethe-Salpeter equation for a Coulombic bound system consisting of a fermion (mass m_l and spin 1/2) and an anti-fermion (mass m₂ and spin 1/2) is solved. The approximate B-S wave functions for (∑U) atom are given. Utilizing the perturbative expansion of the quantum field theory of composite particles, the decay rate and branching ratio for E°→(∑⁺μ^-)+ν_μ are calculated with accuracy up to order O(α).
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  ON THE SUPERMODULUS EFFECT IN COMPOSITIORALLY MODULATED STRUCTURES

  熊诗杰, 蔡建华

  理论物理通讯. 1983, 2(2): 943-949.

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  The departure of electronic distribution from local electrical neutrality and the additional energy due to such a departure in compositionally modulated structures are calculated using a simplified Thomas-Fermi equation. with the energy, we have derived the variation of the biaxial modulus with the modulation period. The result agrees at least qualitatively with the exprimental finding of a supermodulus effect in such structures.
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  FOURIER-ANALYSIS OF THE μ^* MODEL OF NOMEQUI LIBRIUM SUPEKCOIIIDUCTING STATE

  陈式刚, 陈肖兰

  理论物理通讯. 1983, 2(2): 951-964.

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  The Scalapino-Huberman equation is studied by the Fourier analysis method. The multiple-gap states, its bifurcation points and the corresponding spatial structures are found. The solution of the first-order transition which cannot be obtained by singular-perturbation method is obtained. Our results show that the conclusion of the μ^* model about the sequence of first order transition and second-order transition with the rising of the temperature is contrary to experimental results.
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  AK ANALYTIC EXPRESSION FOR NON-SINGLET COMPONENT OF NUCLEON STRUCTURE FUNCTIONS TO THE NEXT ORDER EFFECTS

  陆景贤, 吴济民, 赵佩英

  理论物理通讯. 1983, 2(2): 965-970.

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  Using the inverse Mellin transformation method, we get the analytic expression for non-singlet nucleon structure function from its moment to the. next order effects. The comparison betweent heoretical prediction and experimental data is also made.
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  NONLINEAR σ-MODEL ON MULTID IMENSI CNAL CURVED SPACE WITH CERTAIN CYLINDRICAL SYMMETRY

  周光召, 宋行长

  理论物理通讯. 1983, 2(2): 971-982.

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  A dual transformation is found for a class of nonlinear σ-model defined on a multidimensional curved space with cylindrical symmetry. The system is invariant under a proper combination of the dual transformation and the general coordinate transformation. An infinite number of nonlocal conservation laws as well as the Kac-Moody algebra follow directly from the dual transformation. A Backlund transformation that qenerates new solutions from a given. one can also be constructed.
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  TESTS OF THE BROKEN QCD WITH MASSIVE GLUONS

  赵光达, 黄朝商

  理论物理通讯. 1983, 2(2): 983-989.

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  A scheme for obtaining masses of gluons from the spontaneons breaking of the local colour gauge symmetry with possible preserved asymptotic freedom is chosen. In this scheme we have cal-culated the rates of processes l⁺⁺→2G and l^--→γL⁺⁺. It is shown that it is possible to ascertain if the gluons have masses by observing if the decay l⁺⁺→2 jets for the heavy axial vector meson exist.
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  MONTE CARL0 SIMULATION OF 3-d LATTICE Z₄ GAUGE-Z₂ HIGGS THEORY

  朱允伦

  理论物理通讯. 1983, 2(2): 991-1000.

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  Phase diagram for 3-dimensional lattice Z₄ gauge-Z₂ Hiygs coupling system is constructed using Monte Carlo method (heat-bath method). The resulb are in agreement with the features predicted by Fradkin and shenker_[1]. To find accurate positions of the transition points we proposed a method of thermal cycles recooling near the transition points.
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  CONFINEMENT PROPERTIES OF THE PURE GAUGE FIELDS ON COSET SPACE OF AN ABELIAN CHIRAL GROUP

  井思聪, 刘祖伟, 阮图南

  理论物理通讯. 1983, 2(2): 1001-1012.

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  In this paper the lattice current-current propagator is calcdlated and the influence of coset pure gauge fields of an abelian chiral group G=U₁×U₁⁵ on confinement properties of a quark system is discussed by virtue of the Wilson's criterion in lattice gauge theory. When subgroup H is U₁, the coset pure gauge fields only contribute a perimeter law factor to the current current propagator which has no influence on confinement properties of the system. When subgroup H is U_s, the coset puregauge fields have no influence on wnfinement properties of the system either.
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  HORIZONS AND GENERATING FUNCTIONALS FOR THE TEMPERATURE GREEN FUNCTIONS

  周敏耀, 陈良范, 郭汉英

  理论物理通讯. 1983, 2(2): 1013-1028.

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  The generating functional approach to Green functions in the thermal equilibrium is used to explore the geometrical origin of the temperatures of the quantum fields in the Rindler space-time and black hole spacetimes. It is shown that under the transformation from Minkowski space to the Rindler space the path integral representation for the Euclidean generating functionals of Green functions at zero temperature would transform into the corresponding ones of the quantum fields at a certain finite temperature, and the Minkowski vacuum state would have the same properties as that of the quantum mixed state at the same temperatfire. All thermal Green functions for the mixed state are given. Similar results would be obtained for the Schwarzschild, the Reissner-NordstrOm and the Kerr black holes and whereupon the Hawking temperature for the black holes would have geometrical origin as well as that in the Rindler spacetime. The various density operators of the mixed states at the Hawking temperature for the black hole sacetimes are specified.
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  A FORMULATION OF NONLINEAR GAUGE THEORY AND ITS APPLICATIONS

  陆启铿, 郭汉英, 吴可

  理论物理通讯. 1983, 2(2): 1029-1038.

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  In the lecture notes^[1] one of us (LU) has studied the relations between the theory of connections and Gauge theory. But the formulation of the connection theory or Gauge theory in the lecture notes is linear in nature,i.e., we mainly studied the covariant derivative of a vector, tensor or spinor fields.
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  ON THE NEUTRINO HALO OF GALAXIES OR GALAXIES CLUSTER AND ITS RESTRICTION ON NEUTRINO MASS

  黄无量, 徐春娴, 庆承瑞, 何柞麻

  理论物理通讯. 1983, 2(2): 1039-1043.

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  We present a simple and crude model of galaxies consisting of baryons and neutrinos with spherical symmetry. The baryon matter is rotatinq. in the central region of the galaxy as a nucleus. If the rotational curve of the heavy matter is known from the observational data, then the gravitational potential, and therefore the density distribution in this region, can also be obtained. This enables us to estimate the mass and the radius of the neutrino halo. Furthermore, the condition on the interface of the nucleus-halo will set an upper bound on neutrino mass. If the corresponding parameters duoted in Ref.[10] are adopted, then a value of ≤20eV. for the neutrino mass is obtained. By choosing m_v=15eV and a parameter in the rotational curve n=4, one can deduce that neutrino halo radius is about four times the heavy matter radius, and the total mass of neutrinos is about 14 times that of baryons. It seems, that these results are not in contradiction with the observations on the missing mass of the galaxies^[6].
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  A POSSIBLE FIREBALL THEORY WITH SUPERSYMMETRY BETWEEN QUARK AND ANTIDIQUARK

  高崇寿, 何柞麻

  理论物理通讯. 1983, 2(2): 1045-1049.

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  A fireball theory in the quark level with supersymmetry between quark and antidiquark is suggested. A preliminary study of this model indicates that it can well describe all characteristic phenomena of multiproduction. In particular, the appearance of diquarks will enhance the baryon yield in multiproduction.
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  HADRONIC WIDTH OF P-WAVE HEAVY QUARKONIUM STATES WITH MASSIVE GLUONS

  赵光达, 黄朝商, 林仲金

  理论物理通讯. 1983, 2(2): 1051-1053.

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  The hadronic decay widths of P-wave quarkonium states are calculated in the broken QCD with massive gluons. The comparison with prelfiminary data is also discussed.
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  IS THE PERIODICITY IN THE DISTRIBUTION OF QUASAR REDSHIFTS AN EVIDENCE OF PIULTIPLY CONNECTED UNIVERSE

  方励之, Humitaka SATO

  理论物理通讯. 1983, 2(2): 1055-1058.

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  The periodicity in the distribution of quasar redshifts is interprete dassuminq that the cosmological space is a topologi-cally compactified manifold like three-dimensional torus.The present size of such compact space is estimated at the order of 600Mpc.
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  PRINCIPLE OF MAXIMUM OVERLAP AND OPTIMAL SINGLE PARTICLE POTENTIAL

  吴式枢

  理论物理通讯. 1983, 2(2): 1059-1063.

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  The principle of maximum overlap is applied to the derivation of optimal single particle (sp) wave functions for a many-fermion system under the proposition that the ground state correlation should be taken into account rigorously. If the sp potential U_αβ is defined in terms of the mass operator M_αβ^(u) by u_αβ=M_αβ(εβ), it is shown that the eigenfunctions of the sp Hamiltonian h_αβ=t_αβ+u_αβ automatically fulfill the requirements of the above principle.