1977 Vol. 1, No. 1
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The wave function of the vector bound state of a spinor straton-antistraton pair through scalar coupling is discussed.The Bethe-Salpeter equation of the bound state is solved numerically,and the structural wave functions of the vector bound state are given corresponding to different selection of the parametcrs of the kernel. The magnitude of various invariant functions of the wave function is determined. The validity of the Bargman-Wigner approximation is also examined.
In this paper,the color symmetry of stratons for a theoretical model proposed some times ago is investigated.This symmetry contains two kinds of transformations, the first is color gauge transformations which leave the color mumber of stratons conserved,the second is color permutations which indicate the equivaluence of dif- ferent color stratons.The structure of this symmetry group（S3α）is investigated.The irreducible representations（IR's）of S3α and the reduction of their direct product are given.The relation between IR's of S3α and those of color U（3）group is discussed. In a simplest physical model only two neutral vector gluons are needed and the super-strong ihteraetions among stratons exhibit saturation properties similar to but somewhat different from the case of the Han-Nambu model.Not only the color singlet, but also other color neutral states belonging to IR's 2 or 1 of S3α all belong to the lowest energy level of the super-strong interactions.If there were eight degenerate vector gluons belonging to IR's 2 and 6,the Han-Nambu model would be reproduced.
On the basis of previous papers,this work discusses the theory of composite fields composed of colored stratons.Varicus equivalent representations of the S-matrix elements are given.The formulae for the transition matrix elements between states involving baryons in the theory of Straton Model are derived.Finally,the field- current relations are extended to spin 1/2 baryons and their applications are discussed.
In this paper the internal wave functions of mesons are obtained by solving the Bethe-Salpeter equation with a pseudoscalar covariant oscillator potential.The transi-tion probabilities of various weak and electromagnetic processes of mesons are calculat- ed by using these wave functions.The results are qualitatively in agreement with experiments.Quantitatively the results given are in good agreements with experi- ments for processes not involving π mesons,but are not so for processes involving π mesons,for which we give some speculative explanations.
In this paper,we discuss magnetic monopo]es of an U1-subgroup in SU2 and SO3 broken gauge theories,on the basis of fibre-bundle theory.We derive a general ex- pression for the electromagnetic potentials around magnetic monopoles,which,accord- ing to the usual connection between the electromagnetic potentials and field-strength tensors,leads naturally to't Hooft's definition of the electromagnetic field-strength tensors.Furthermore,from the view-point of fibre-bundle theory,we elucidate some problems concerning which there exist different opinions in the present literature. Our conclusions are summarized as follows. 1)In general,the description of magnetic monopoles in SU2 and SO3 broken gauge theories needs,in addition to SU2 or SO3 gauge potentials,the introduction of an unimodular Higgs isovector field to specify the direction of charge in the isospin space. 2)For the existence of magnetic monopoles,it is only required that the corresponding principal SU2-or SO3-bundles be reduced to U1-or SO2-bundles,not that the corresponding SU2-or SO3-gauge potentials be also reduced to U1-or SO2-gauge potentials. 3)The usual conclusion that the values of magnetic monopoles depend only on the topological properties of the Higgs field holds for the product SU2-or SO3-bundle. For the nontrivial SO3-bundle a new detailed discussion is needed.
Since the middle of 1972,we have been carrying out a research programme in the field of heavy ion physics.A series of preliminary experiments have been done.Some typical examples are illustrated in this paper.
The energy spectra and angular distributions of alpha particles emitted in the reaction of 12C on 209Bi in the energy range 61.1—73.0 MeV were observed.The △E— E detector system was used to separate alpha particles and other particles emitted in this reaction.The results can be interpreted in terms of the reaction mechanism,in which a 8Be cluster is transfered from the projectile to the target.Good agreement has been obtained between the cross section for the production of the direct alpha particles and that of the heavy residue 217*Fr which,left in the ground state after evaporation of 2 neutron's,decays into 211At by alpha emission.The experimental energy spectra and angular distributions have been fitted by a semi-classical formula for the differential cross section per unit solid angle and energy interval.
A Woods-Saxon potential is used to study particle emission.The angular momenta limitation with respect to particle emission is calculated for nuclei with A between 70 and 160 and for four types of deformation.The competition between fission and particle emission is discussed.It is shown that a highly spinning nucleus may first undergo particle emission.
We have investigated the process of deep inelastic scattering by means of a phenomenological model which assumes that the colliding nuclei undergo quadrupole length distortion after sticking each other.The energy dissipations and the angular distributions and so on are in agreement with experimental data.The results may describe qualitatively the main characteristics of the quasi-fission.The total kinetic energy of the exit channel is the Coulomb repulsion energy of the fragments and the interaction time of the process is scaled by 10-22—10-21sec.In addition,the effect of 1 window of complete fusion is also given.
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