1978 Vol. 2, No. 1
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In this paper, we propose an SU（4）×S3a scheme of the Straton Model and discuss the classification of mesons. We suggest the possible existence of several colour excited states with masses around 2 GeV in companion with charm mesons. We also discuss the properties and the experimental behavior of these colour excited states, especially, the possible contribution of these states in several new phenomena.
The cancellation properties of the nonhermitian single-particle （SP） potential uαβ=Mαβ （εβ） [or Mαβ（εα）] according to the principle of maximal cancellation of perturbation diagrams are investigated in detail. The mass operator Mαβ（ω） is separated into two parts Mαβon （ω） and Mαβoff （ω） as usual, however, a new criterion for their definition will be proposed. It is shown that the exact mass operator insertion is equal to the sum of the following three types of terms:（1） terms contributed by the poles of Mαβoff（ω）. They are truly non-factorizable and must be considered separately,（2） terms which can be cancelled to all orders by the nonhermitian choice uαβ=Mαβ （εβ） [or Mαβ（εα）]. Hence, they serve to define uαβ,（3） the remaining terms, which can be summed to all orders in a simple way and may be interpreted as amplitude renormalization of the SP Green function.In order to illustrate the usefulness of the above results, we have considered the renormalized random phase approximation （RRPA） for the particle-hole Green function as an example. Related formulae are derived. In RRPA, not only the SP propagator renormalization which includes all the effects except those contributed by the poles of Mαβoff （ω）, but also the off energy shell property of the G matrix elements have been taken into account.
The method of relating the gauge potential to the connection on a spherical surface developed in a previous paper is generalized to the discussion of the potential of an SU(2) magnetic monopole with O(5) symmetry. Expressions for the potential of the monopole with double string singularity or single string singularity are obtained. Finally, by a combined coordinate-gauge transformation, we obtain a string free expression for an SU(2) magnetic monopole with O(5) symmetry.
By introducing a direct scalar coupling between the spinor field and the Higgs field, we are able to show that in the non-abelian case, a spinor monopole bound state solution exists. The distribution of the spinor field in the solution concentrates near the origin, which is unlike the shell distribution of the SLAC solution.
Due to the possible production of neutral and charge heavy leptons by vμ, models consisting of four elements per "line", e.g. ve, e-, E0, E- vμ, μ-, M0, M- vτ, τ-, T0, T- ……are analysed. Non-diagonal neutral currents cannot be avoided. Nevertheless, a model is proposed within SU（2）×U（1） in which the process μ→eγ can still be suppressed by the Bjorken-Lane-Weinberg mechanism; various production cross-sections for heavy leptons are reasonable when compared with experiments. Models corresponding to SU（3）×U（1） and still higher symmetries are discussed.
Various expressions for the field strenghs of an accelerated monopole are given. In the integral form, we disscuss the potentials for static, uniformly moving and accelerated monopoles. In the static case, we obtain the Wu-Yang Potential. In the case of constant velocity we obtain a potential which can also be obtained through Lorentz transformation from the Wu-Yang Potential. However, for an accelerated monopole, the correct potential cannot be obtained through Lorentz transformation. On the contrary, the correct Lienard-Wiechert Potential of an accelerated electron can be obtained through Lorentz transformation.
This paper analyses some common physical characteristics of the gauge field strengths and sources with unequivalent potentials and expresses it in geometrical terms. The eigen-directions of these fields and sources form twistfree curve congrence, which has orthogonal hypersurfaces. The field is Abelianlizable (frequently, even trival) on each hypersurface, i.e. there exists Higgs field, which is invariant under translation along each hypersurface. The gauge field and sources are not altered during the variation of potentials, generated by the gauge rotation around Higgs fields with equal angles on each individual hypersurface but with unequal angles on different hypersurfaces.
The energy levels, B(E2) values and gyromagnetic ratio g of some even-even nuclei have been calculated with a double band scheme of band-crossing. Based on these results, the mechanism of backbending phenomena is analyzed, and the possible criterion to distinguish the effects of shape transition, rotation-alignment and pairing collapse are also discussed.
The one boson exchange nuclear force is applied to the discussion of the nucleon-△ interaction. The coupling constant is determined by the straton model. Assuming that the wave function is unaltered by the presence of △, we are able to obtain the average field of the isobar in the nuclei approximately. The qualitative feature obtained is that the average field of △ is shallower then that of nueleon by an amount of～15 MeV.
By means of an annular mica detector, the half-life and excitation function had been measured for the shape isomer 240mPu produced in the reaction 238U （α, 2n）. A value of 3.5±0.5 ns was obtained for the half-life of 240mPu. The shape isomer excitation energy Bi was found to be 3.2±0.5 MeV.
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