1980 Vol. 4, No. 1
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Abstract:
Starting from the Bethe-Slapeter equation, the coupled equations for the bound states of the deuteron may be reduced to the ordinary three dimensional ones and the number of the components of the wave function is decreased by using the approxima-tion of the instantaneous interaction in the center of mass system. The wave functions of the deuteron are expanded in terms of the spherical and the vector spherical har-monics and the radial coupling integral equations are obtained. Some properties of the deuteron wave functions are discussed also. Qualitative estimations indicate that the relative ratio of the probability of P wave to that of S wave is about the order of(1/2)|(p/m)|2
Starting from the Bethe-Slapeter equation, the coupled equations for the bound states of the deuteron may be reduced to the ordinary three dimensional ones and the number of the components of the wave function is decreased by using the approxima-tion of the instantaneous interaction in the center of mass system. The wave functions of the deuteron are expanded in terms of the spherical and the vector spherical har-monics and the radial coupling integral equations are obtained. Some properties of the deuteron wave functions are discussed also. Qualitative estimations indicate that the relative ratio of the probability of P wave to that of S wave is about the order of(1/2)|(p/m)|2
Abstract:
We have discussed the single particle energies and wave functions of a boundisobar in O16 by using the O16 equation.
We have discussed the single particle energies and wave functions of a boundisobar in O16 by using the O16 equation.
Abstract:
At present, colud chamber and bubble chamber are the most important detec-ting instruments of particle tracks in fundamental particle physics. But the work-ing efficiency of both cloud chamber and bubble chamber is very low. It can. not satisfy the requirements of detection. This essay presents two types of continuous sensitive high efficiency particle detecting instruments, namely the cloud tube and the bubble tube. It also presents their historical back ground, theoretical analysis and some experimental data.
At present, colud chamber and bubble chamber are the most important detec-ting instruments of particle tracks in fundamental particle physics. But the work-ing efficiency of both cloud chamber and bubble chamber is very low. It can. not satisfy the requirements of detection. This essay presents two types of continuous sensitive high efficiency particle detecting instruments, namely the cloud tube and the bubble tube. It also presents their historical back ground, theoretical analysis and some experimental data.
Abstract:
The 2π→2K low energy scattering cross-section was obtained using the relation between field and current. The low energy πK elastic scattering cross-section and its scattering length were also obtained using cross symmetry.
The 2π→2K low energy scattering cross-section was obtained using the relation between field and current. The low energy πK elastic scattering cross-section and its scattering length were also obtained using cross symmetry.
Abstract:
The influence of the self-energy diagrams on the solutions of the Bethe-Salpe-ter equation is studied by taking a gφ1*（x）φ1（x）φ2（x） interaction and under the ladder approximation. The results show for ground state solution, the self-energy diagrams will diminish the eigenvalues and alter the wave funetions slight-ly. While for the excited states and anti-symmetric solutions, the influence of theself-energy diagrams is considerable. which completely alters the properties of the solutions. The results also show that the solutions from the ladder approximationare meaningful only in the loosly bounded cases, and as the binding becomes tight,the contribution from the self-energy diagrams becomes important.
The influence of the self-energy diagrams on the solutions of the Bethe-Salpe-ter equation is studied by taking a gφ1*（x）φ1（x）φ2（x） interaction and under the ladder approximation. The results show for ground state solution, the self-energy diagrams will diminish the eigenvalues and alter the wave funetions slight-ly. While for the excited states and anti-symmetric solutions, the influence of theself-energy diagrams is considerable. which completely alters the properties of the solutions. The results also show that the solutions from the ladder approximationare meaningful only in the loosly bounded cases, and as the binding becomes tight,the contribution from the self-energy diagrams becomes important.
Abstract:
In this paper, the effects induced by a Λ hyperon on the pairing correlation in nucleus are investigated. For simplicity, the δ-type A-N residual interaction is adopted. We have calculated the energy Spectrum and wave function of the low-lying excited states for Λ10O. Then using infinite sum approximation, the correlation effect for two nucleons in the high energy shell induced by a Λ-hyperon is discussed.Finally. by means of Bose approximation, the correlation effects for n pairs of nucleons induced by a Λ is analysed.
In this paper, the effects induced by a Λ hyperon on the pairing correlation in nucleus are investigated. For simplicity, the δ-type A-N residual interaction is adopted. We have calculated the energy Spectrum and wave function of the low-lying excited states for Λ10O. Then using infinite sum approximation, the correlation effect for two nucleons in the high energy shell induced by a Λ-hyperon is discussed.Finally. by means of Bose approximation, the correlation effects for n pairs of nucleons induced by a Λ is analysed.
Abstract:
The weak coupling approximate Schwinger-Dyson equation of the straton's pro-pagator in 4-dimensional QCD theory and the problem of the straton's confinement are discussed. It is proved that, when we choose Landaugauge, the obtained Sch-winger-Dyson integral equation of the straton's propagator can be transformed into a very simple form. Then we change it into a first order non-linear differential equation. It has two solutions: a confining solution and a solution that has no con-finement for the stratons. The effective potential in QCD is derived by functional method, and the ground-state energy difference between these two solutions is discussed. In our approximation, we calculate the vacuum graph to the 2-loop diagrams, We may conclude that stratons are not confined in our approximation.
The weak coupling approximate Schwinger-Dyson equation of the straton's pro-pagator in 4-dimensional QCD theory and the problem of the straton's confinement are discussed. It is proved that, when we choose Landaugauge, the obtained Sch-winger-Dyson integral equation of the straton's propagator can be transformed into a very simple form. Then we change it into a first order non-linear differential equation. It has two solutions: a confining solution and a solution that has no con-finement for the stratons. The effective potential in QCD is derived by functional method, and the ground-state energy difference between these two solutions is discussed. In our approximation, we calculate the vacuum graph to the 2-loop diagrams, We may conclude that stratons are not confined in our approximation.
Abstract:
In this paper the π condensation effects in finite nuclei are investigated. We have supposed a model hamiltonian, and have calculated the eigensolution in the Random Phase Approximation. The energies and the π condensed number of the graund state and the one phonon excited states are obtained. The results are discussed for the case of 16O.
In this paper the π condensation effects in finite nuclei are investigated. We have supposed a model hamiltonian, and have calculated the eigensolution in the Random Phase Approximation. The energies and the π condensed number of the graund state and the one phonon excited states are obtained. The results are discussed for the case of 16O.
Abstract:
In this paper, we analyse the commutation relations of the infintesimal opera-tors of the group SU3 and find that the eight infinitesimal operators of the groupSU3 can be written as a scalar operator A, three angular momentum operators (L1,Lo, L-1,)and two sets of the irreducible tensor operators of rank 1/2, （T±1/2，V±1/2）By means of the commutation relations of these operators, all irreducible represen-tations of the group SU3 can be easily obtained. In this pape, the matrices corresponding to these operators in the irreduciblerepresentation（λμ）, are given; therefore the irreducible representation and its re-presentation space Rλμ are completely defined. Besides, a method for calculatingthe scalar factors of the reduction coefficients and the symmetric relations of thosefactors are also given. As examples, the scalar factors of the reduction coefficientsof （λμ）×（10）, （λμ）×（01）, （λμ）×（20） and （λμ）×（11） are calculated. In the last part of this paper, we define the irreducible tensor operators ofthe group SU3 and prove the corresponding Wigner-Eckart theory. The method used in the discussion of the group SU3 be extended to allof the compact simple Lie groups of rank 2 and we shall discuss them in two suc-ceeding papers.
In this paper, we analyse the commutation relations of the infintesimal opera-tors of the group SU3 and find that the eight infinitesimal operators of the groupSU3 can be written as a scalar operator A, three angular momentum operators (L1,Lo, L-1,)and two sets of the irreducible tensor operators of rank 1/2, （T±1/2，V±1/2）By means of the commutation relations of these operators, all irreducible represen-tations of the group SU3 can be easily obtained. In this pape, the matrices corresponding to these operators in the irreduciblerepresentation（λμ）, are given; therefore the irreducible representation and its re-presentation space Rλμ are completely defined. Besides, a method for calculatingthe scalar factors of the reduction coefficients and the symmetric relations of thosefactors are also given. As examples, the scalar factors of the reduction coefficientsof （λμ）×（10）, （λμ）×（01）, （λμ）×（20） and （λμ）×（11） are calculated. In the last part of this paper, we define the irreducible tensor operators ofthe group SU3 and prove the corresponding Wigner-Eckart theory. The method used in the discussion of the group SU3 be extended to allof the compact simple Lie groups of rank 2 and we shall discuss them in two suc-ceeding papers.
Abstract:
On the basis of phenomenological quantum chromodynamics (QCD), a nonre-lativistic linear and Coulomb-like potential describtion of the strong interaction be-tween quarks is assumed and it is considered that the effective quark-gluon coup-ling constant approaches the asymptotically free limit of QCD. The cloice of thepotential parameters is so made as to fit the experimental values of the wave func-tions at the origin as well as the masses of the J/ψ and the γ Following the calcu-lation referring to the ψ′and the γ′, we acquire a consistent explanation for boththe relative values of the wave functions at the origin and the experimental mass asdifferences of these particles.
On the basis of phenomenological quantum chromodynamics (QCD), a nonre-lativistic linear and Coulomb-like potential describtion of the strong interaction be-tween quarks is assumed and it is considered that the effective quark-gluon coup-ling constant approaches the asymptotically free limit of QCD. The cloice of thepotential parameters is so made as to fit the experimental values of the wave func-tions at the origin as well as the masses of the J/ψ and the γ Following the calcu-lation referring to the ψ′and the γ′, we acquire a consistent explanation for boththe relative values of the wave functions at the origin and the experimental mass asdifferences of these particles.
Abstract:
The condition for back-bending phenomena to occur in rare-earth region is in-vestigated with quasiparticle spectrum in a rotating potential. The first and the se-cond "back-bending" of nuclei 158Er are explained.
The condition for back-bending phenomena to occur in rare-earth region is in-vestigated with quasiparticle spectrum in a rotating potential. The first and the se-cond "back-bending" of nuclei 158Er are explained.
Abstract:
In this paper, the folding potential of the double well-cluster shell model fol-ding potential is derived. We use this potential to calculate the α-α elastic scatter-ing up to 27 MeV energy. the theoretical results agree with experiments rather well.It shows that for heavy-ion elastic scattering, the intrinsic state excitation should betaken into account properly.
In this paper, the folding potential of the double well-cluster shell model fol-ding potential is derived. We use this potential to calculate the α-α elastic scatter-ing up to 27 MeV energy. the theoretical results agree with experiments rather well.It shows that for heavy-ion elastic scattering, the intrinsic state excitation should betaken into account properly.
Abstract:
The problem of the nuclear fission rate is studied from the point of view of Brownian motion. The Fokker-Plank equation is solved by means of the rate ei-genvalue method. The viscosity tensors, the inertia coefficients and the temperature are functions of nuclear deformation. Their effects on the fission rate are also stu-died.
The problem of the nuclear fission rate is studied from the point of view of Brownian motion. The Fokker-Plank equation is solved by means of the rate ei-genvalue method. The viscosity tensors, the inertia coefficients and the temperature are functions of nuclear deformation. Their effects on the fission rate are also stu-died.
Abstract:
In this Paper a calculable three-body T matrix with compact kernel is obtained by using multiplier's methods. The formulations for calculating the A（a, ax）B type three-body reaction trans-tion amplitudes are presented when plane wave or distorted wave is used for the incident and outgoing states. This T matrix also includes the resonance terms of the three-body chain struc-ture states besides quasi-free scattering terms and final states interaction terms. A calculable formulation for the resonance energy of chain structure states is presented when it is expanded approximately into two two-body bound states. For 8Be and 6Li as target nuclei, the resonance energies are calculated. The results are in good agreement with the experimental values and the theoretical values of a mole-cule-like model. In order to check this kind of resonances, some experiments are proposed.
In this Paper a calculable three-body T matrix with compact kernel is obtained by using multiplier's methods. The formulations for calculating the A（a, ax）B type three-body reaction trans-tion amplitudes are presented when plane wave or distorted wave is used for the incident and outgoing states. This T matrix also includes the resonance terms of the three-body chain struc-ture states besides quasi-free scattering terms and final states interaction terms. A calculable formulation for the resonance energy of chain structure states is presented when it is expanded approximately into two two-body bound states. For 8Be and 6Li as target nuclei, the resonance energies are calculated. The results are in good agreement with the experimental values and the theoretical values of a mole-cule-like model. In order to check this kind of resonances, some experiments are proposed.
Abstract:
A rough estimation shows that the physical dose distribution by electron beams of about 50 MeV could be analogous to that by π--mesons, if an adequate magnetic field is applied to the radiated region. Therefore it would be helpful to the therapy of the deeply situated tumors.
A rough estimation shows that the physical dose distribution by electron beams of about 50 MeV could be analogous to that by π--mesons, if an adequate magnetic field is applied to the radiated region. Therefore it would be helpful to the therapy of the deeply situated tumors.
Abstract:
The production cross section for the scalon in pp and (?) collisions is estimated,and the detection of the scalon is discussed.
The production cross section for the scalon in pp and (?) collisions is estimated,and the detection of the scalon is discussed.
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