1979 Vol. 3, No. 5
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In the first place in the paper Polya distribution has been derived from Bosestatistics,then using it,KNO sealing in multiparticle production at high energies isexplained.Secondly it is assumed that the clusters are produced via multiperipheralexchange of Regge trajectory and the cluster number obeys one-dimensional Boltz-mann distribution.Then the properties of cluster's movement is analysed and sca-ling in the mean in semi-inclusive process is deduced.
By assuming that in a high energy hadronic collision process,N pairs of stratonsare produced together with gluons,the number of which is supposed to be propor-tional to the number of“bonds”between any two stratons,we are able to get a rela-tion between the Q-value and the number of pairs N:N=（α2+βQ）1/2-α.The average charged multiplicity〈nch〉theo is calculated,and is compared withthe experiments.The data of pp、π±p、K±p collisions all coincide with the theoreticalcurve in a wide range of energies.The deviation between the energy vs.chargedmultiplicity relations for meson-proton and proton-proton collision processes are ex-plained quantitatively.The average straton mass estimated from the theory is ingood agreement with that.given by other authors.
A method for finding potentials corresponding to polynomial-factor eigenfunc-tions is given for the Schr（?）dinger equation as an example.It is shown that theeigen-solutions for harmonic and Columb's potentials in quantum mechanics are the twoexamples which can be given by this method and some other examples are discovered.This method and some results of this paper may be useful for hadron structure mo-del theory.One of the examples is the equation in Ref.（4）which is derived fromBethe-Salpeter equation for the case that the straton is tightly bounded in certain po-tential well.When this method is applied to that equation for three dimensionalcentral symmetric potential V（r）=V0—2（N+（1/2））β-1（√V6r2）+（V6r6）, some resultsare obtained as shown in Fig. 2 in which λ′ must be considered as a linear function of m2.The so called“quasic Regge trajectory”behavior is manifested.
We study the monopole solutions of the SU(N) gauge group systematically,generalize the current synchro-spherical symmetrical monopole to the multi synchro-spherical symmetrical case,and give the complete classification of the monopole so-lutions.As examples,we have calculated the SU(3) and SU(4) monopoles in detail,and discuss some problems such as angular momenta and topological quantum num-bers.
In the straton model,the wave functions of the 0- meson can be obtained numerical-ly from the Wick rotated Bethe-Salpeter equation.The problem of comparing experi-ment with the mesonic electromagnetic form factor calculated by analytical continua-tion of the wave functions from the Euclidean space back to the Minkowski space isan unsolved problem.On the basis of analyzing the analytic property of the formfactor,we proved that by choosing a special reference system in which the photon isspace-like,one may calculate the physical space-like electromagnetic form factor dire-ctly from the Euclidean B-S wave functions of the meson in the Euclidean space.As an example,we calculated the electromagnetic form factor of the pseudoscalarmeson by using the wave functions corresponding various choices of parameters.Pre-liminary results show that the theoretical calculation may be in accordance with experi-ment by appropriately choosing the parameters.
The gravitational field is quantized within the canonical formalism under theharmonic gauge condition.The gravitational field is decomposed into transversalfields and self-commuting fields.The equation of motion of the self-commuting field Xμ is derived,and the contributions of self-commuting fields to physical S-matrixelements are investigated.Then the gauge compensating term of the effective actionis obtained.The result is in agreement with that obtained by the path integral method,but with our method the difficulty of the Gribov gauge ambiguity can be overcome.
In this paper the DWBA cross section formula for the（π+,d）reaction is deri-ved in the model of one-nucleon absorption of pion,and the differential cross sectionsfor 12C（π+,d）10Cg.5.2+reactions are estimated in PWBA.This kind of reaction isregarded as a worthnoting one for the studies of π absorption processes and the nu-clear pair structure.
Delay time distribution of MWPC has been measured systematically,and experi-mental results have roughly analyzed.
On the basis of the cluster shell model of double well,a new method for subs-tracting the kinetic energy of the relative motion of the fission fragments has beenproposed,and in this way the potential energy curve for spontaneous fission of 8Be-has been calculated.In the calculation,the effects of the coulomb potential and thespurious states of the motion of the center of mass have been considered properly.The results can qualitatively explain the metastable property of 8Be.It seems that the method proposed in this paper might serve as a way to describe the fisson processin microscopic study.
The decay law of cascade processes involving many levels is presented.It canbe used to correct all the data obtained by considering only one level in the deter-mination of the mean lifetime of high spin states with the in-beam pulse method orthe recoil distance method.
The excitation functions of the 23Na（p,α0）20Neg·s.and the 23Na（p,α1）20Nelst reae-tion have been measured from Ep=1 to 2.5 MeV at θL=30°,150° and 30°,respectively.Around the resonance at 2.171 MeV,the excitation functions of the（p,α0）reactionhave been measured at 12 angles,then,some angular distributions have been obtained from these excitation functions.In addition,the angular distribution of the（p,α0）reaction for the resonance at 2.171 MeV has also been measured directly at energy ofthe resonance peak of the excitation function at 150°.For the resonance at 2.117MeV,the angular distribution have been measured at two energies,one at the energyof the resonance peak of the excitation function at 150°,another at the energy of thehalf maximum point of the resonance peak on the higher energy side.Around the re-sonance at 2.075 MeV,the excitation functions have been measured at 16 angles,andthe angular distribution has been obtained from three excitation functions.The an-gular distributions of the three resonances are not symmetric about 90°,and the posi-tions of the resonance peaks of these resonances varies with the angle of measurement.By means of the compound nucleus theory,discussions have been made for these non-solated resonances.
The effects of the coupling term between field（Y0σ1）1v and r2（Y2σ1）1v coming fromtensor operator are discussed for the spin gaint dipole resonance.The effects of inclu-ding the field rλ+1(Yλ+1σ1)λv on the spin gaint multipole resonance and core polariza-tion are considered.
Assuming microcausality and weak operator convergence,a simple proof of twoidentities in the eomposite field theory concerning the interchange in the order ofintegrations is given.
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