## 1978 Vol. 2, No. 3

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**Abstract:**

By means of the generalized method of quantum expansion and the general treatement for quantization of gauge fields recently proposed by S. N. Gupta, we calculate the quantum expansion around the vertex type solution of N-O model. Under special conditions, the eigen-value of the energy of quantum excitation can be obtained.It is shown that both

*P*

^{o}（-1） and

*II*

^{o}（-1） are equal to zero in the case we considered. As a result, our calculations are greatly simplified.

**Abstract:**

Physical processes of the propagation of the solar cosmic rays in the interplanetary space include the diffusion in interplanetary disordered magnetic fields and the convection in solar winds. Dimensional method can be applied to solve those equations convertible into Bessel equation, the results obtained are identical with those solved by the commonly used separate variable method. In order to derive an analytic solution to the diffusion convection equation in an unbounded, uniform medium, two dimensionless parameters reflecting the diffusion and convection characteristics of the particles are introduced. In the diffusion dominated case, the solution is similar in form to the diffusion of a source moving with the convection velocity and is modified by another convection term, which can be expanded into a power series of the convection parameter with coefficients composed of the generalized hypergeometric function series of the diffusion parameter. This solution has a clear physical meaning, and can suitably be used in the discussion of the rise phase characteristics of the solar cosmic rays from medium to high energies （

*E*≥10

_{p}^{1}MeV）.

**Abstract:**

We continue the investigation of the equation and its solutions for the bound states of mesons discussed previously, emphasizing on large values of

*v*, a parameter characterizing the shape of the potential. The results show that the dependence of the eigenvalues

*λ*and some related physical quantities upon the potential parameters

*v*and

*E*is approximately the same as in our previous work. But the average radii of the bound mesons cease increasing as

*v*increases. For each value of

*v*, there exists a maximum average radius√<R

^{2}>

_{max}, and all these √<R

^{2}>

_{max}are approximately equal to 12.6 M

^{-1}（M being the mass of the straton）, which is much smaller than the experimental value of the radius of the π meson. However, if we assume, in addition to the attractive potential, there exists, for the straton-anti-straton superstrong interactions, also a repulsive potential, and, in particular, if we introduce a differencetype potential

*V*（

_{D}*r*） corresponding to the potential

*V*（

_{v}*r*） in our previous work, the calculated radii of the bound mesons do approach the experimental value.

**Abstract:**

In some quantum mechanical problems involving singular states usually exists phase angle uncertainty. Recently in the investigation of the scattering of a Dirac particle with the charge Ze and a fixed magnetic monopole, Kazama, Yang and Goldharber [2] introduced some extra magnetic moments in order to eliminate the phase angle uncertainty. In this paper, instead of introducing any extra magnetic moment we use the adjusted framework of quantum mechanics suggested in [3], the criterion of orthogonality and the variation principle of energy (indefinite phase as a variation parameter) to determine the phase angle, the scattering cross section and the bound states uniquely. These principles for the determination of the solution have been tested for its correctness, because the result is consistent with the solution of reference [2]. By using these principles the problems of scattering and bound states of systems consisting of a charged magnetic monopole and a charged Dirac particle, as well as the monopole pair are exactly solved.

**Abstract:**

We discuss the suppression of the decay of heavy lepton

*τ*into

*πv*,by assuming that

_{τ}*τ*and/or

*v*carry spin 3/2. For the case of spin 3/2

_{τ}*T*and spin 1/2

*v*, using the weak current

_{τ}*ψ*

_{μ}^{(τ)}(

*a*+

*b*

_{γ5})

*Ψ*

^{(vτ)}we find that the

*πv*decay channel relative to the

_{τ}*v*channel is suppressed 12/5 times, while other decay channels are not changed appreciably.

_{τ}v_{l}l^{-}*△R*=

*σ*（e

^{+}e

^{-}→

*τ*

^{+}

*τ*

^{-}）/

*σ*（e

^{+}e

^{-}→

*μ*

^{+}

*μ*

^{-}） is also discussed.

**Abstract:**

We have measured the angular distributions of fission fragments for a series of compound nuclei formed in the bombardment of

^{169}Tm,

^{175}Lu,

^{181}Ta,

^{197}Au,

^{209}Bi,

^{232}Th and

^{238}U by 78 MeV

^{12}C ions and in the bombardment of natural lead by 96.6, 92.2, 88.1, 79.0 and 75.6 MeV

^{14}N ions with mica track detectors. All the measured angular distributions can be fitted by the theoretical formula given by Halpern and Strutinski. The effective moments of inertia of the fissioning nuclei at the saddle point are derived from the angular distribution anisotropies. A comparison is made for the shapes of experimental saddle point with the theoretical predictions by the liquid drop model.

**Abstract:**

A formalism for studying the interference between the direct reaction and the compound resonance processes is presented by the S-matrix theory; The mechanism of

^{12}C（d, d）

^{12}C,

^{12}C（d, p

_{1}）

^{13}C* and

^{12}C（d, p

_{2}）

^{13}C* reactions in the energy range

*E*=1.63 MeV to 2.05 MeV is analysed.Te results show that: the interference between these two processes exists; and the quantitative relation between them is given. While the parameters of direct reactions and compound resonance processes, particularly for four resonance states with

_{d}*E*=1.726, 1.767, 1.792 and 1.86 MeV are determined.

_{d}**Abstract:**

The energy levels and transition probabilities B（

*M1*） of the

^{208}Pb 1

^{+}states are calculated using the matrix diagonalized method in which the （1

*p*1

*h*） configurations are coupled to collective octupole phonons. Calculated results show that the fine structure of the

^{208}Pb giant magnectic resonance depends rather strongly on the phononparticle coupling constant.

**Abstract:**

The ground state of

^{6}Li is investigated by means of the projected variational method for double well-cluster shell model. The results of the variational calculation show that the root-mean-square radius of

*d*-cluster in the ground state of

^{6}Li is smaller than that of free deuteron and as the mean distance between the

*α*-cluster and the d-cluster decreases there are two effects on the

*d*-cluster, namely contraction effect in which the

*d*-cluster contracts first and then makes a bit extension and deformation effect in which the

*d*-cluster makes oblation first and then streteches.It is also demonstrated by the calculation that the repulsive component of the odd sytate of N-N force and the pauli exchange of the nucleons between the clusters play an important role not only on the cluster structure in the ground state of

^{6}Li but also on the contraction and the deformation of d-cluster in

^{6}Li.

**Abstract:**

**Abstract:**

**ISSN** 1674-1137 **CN** 11-5641/O4

Original research articles, Ietters and reviews Covering theory and experiments in the fieids of

- Particle physics
- Nuclear physics
- Particle and nuclear astrophysics
- Cosmology

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