1981 Vol. 5, No. 4
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Abstract:
For a given Bethe-Salpeter equation an unique definite rearrangement of its irreducible kernel is obtained. Using this new kernel the equal-time wave function and equal-tune seattering amplitude satisfy closed equations respectively. Including no unphysical degree of freedom the equations are the relativistic generalization of Schrodinger equation and Lippmann-Schwinger equation. The equal-time potential of one photon exchange is given. All the conclusions are generalized to particleantiparticle system directly.
For a given Bethe-Salpeter equation an unique definite rearrangement of its irreducible kernel is obtained. Using this new kernel the equal-time wave function and equal-tune seattering amplitude satisfy closed equations respectively. Including no unphysical degree of freedom the equations are the relativistic generalization of Schrodinger equation and Lippmann-Schwinger equation. The equal-time potential of one photon exchange is given. All the conclusions are generalized to particleantiparticle system directly.
Abstract:
In the SUL(2)×SUR(2)×U(1) local gauge theory, we discuss the general form of the interaction Lagrangian between the stratons and the Higgs particles, which is invarant with respect to the discrete transformation eia. From this Lagrangian we obtain a relation among the straton masses, as well as a relation between the straton masses and the Cabibbo angle.
In the SUL(2)×SUR(2)×U(1) local gauge theory, we discuss the general form of the interaction Lagrangian between the stratons and the Higgs particles, which is invarant with respect to the discrete transformation eia. From this Lagrangian we obtain a relation among the straton masses, as well as a relation between the straton masses and the Cabibbo angle.
Abstract:
In this paper we investigate the behavior of the B-S wave function as the squared momentum on one leg becomes infinte while the squared momentum on the other leg remians fixed by using the property of asymptotic freedom in QCD. Using the obtained wave function we compute the cross section of the process e++e- → π+q+q(where the pion has large transverse momentum perpendicular to the axis of a stratonic jet). We find that the contribution of this process to the cross section of e++e-→hadrons is much smaller than the process e++e-→g+q+q.
In this paper we investigate the behavior of the B-S wave function as the squared momentum on one leg becomes infinte while the squared momentum on the other leg remians fixed by using the property of asymptotic freedom in QCD. Using the obtained wave function we compute the cross section of the process e++e- → π+q+q(where the pion has large transverse momentum perpendicular to the axis of a stratonic jet). We find that the contribution of this process to the cross section of e++e-→hadrons is much smaller than the process e++e-→g+q+q.
Abstract:
On the basis of glue-bag model discussed in previous article, we calculate mass spectra of hadrons, and find that the dependence of the surface energy is sensitive to the state of motion of quarks. We compare the theoretical results with the experimental data.So far as the general hadrons (including strange hadrons), ψ/J particles charmonium and γ particles are concerned, the relative error is less than five per cent. Under the approximations such a close-fitting is quite encouraging indeed.
On the basis of glue-bag model discussed in previous article, we calculate mass spectra of hadrons, and find that the dependence of the surface energy is sensitive to the state of motion of quarks. We compare the theoretical results with the experimental data.So far as the general hadrons (including strange hadrons), ψ/J particles charmonium and γ particles are concerned, the relative error is less than five per cent. Under the approximations such a close-fitting is quite encouraging indeed.
Abstract:
The concept of Bose Condensation of Higgs fields is applied to SU(2) Higgs φ4 model. It is proved that under the selfinteractions between Higgs fields, when the sum of condensation densities of charged complex fields and neutral complex fieldsremains fixed, the vaccum energies of symmetrical and asymmetrical condensations are equal to each other whereas the elementary excitation spectra all include three Goldstone particles and a particle with mass √2m. Then by introducing a coupling between massless electron and neutral Higgs field, we derive an expression of electron mass which coincides with that in Weinberg-Salam model.
The concept of Bose Condensation of Higgs fields is applied to SU(2) Higgs φ4 model. It is proved that under the selfinteractions between Higgs fields, when the sum of condensation densities of charged complex fields and neutral complex fieldsremains fixed, the vaccum energies of symmetrical and asymmetrical condensations are equal to each other whereas the elementary excitation spectra all include three Goldstone particles and a particle with mass √2m. Then by introducing a coupling between massless electron and neutral Higgs field, we derive an expression of electron mass which coincides with that in Weinberg-Salam model.
Abstract:
In the present paper a picture of the baryon-antibaryon system is proposed. If proton, neutron and A hyperon with spin 1/2 form the SU(6) basic particles, then the baryon-antibaryon system must be classified by the SU(6) group (It can be classified into pseudoscalar BB system and vector BB system). The spectrum of the BB system has two characteristics: The "Unitary energy band" and the "strangeness analogy state". In this paper the experimental spectrum of the Pp systemwith spin 1/2 and the calculation show that there exist the SU(6) "Unitary energy band" in the Pp system and exist the "strangeness analogy state" between the Pp system and other BB systems such as np system or BB systems which have strangeness S=±1.
In the present paper a picture of the baryon-antibaryon system is proposed. If proton, neutron and A hyperon with spin 1/2 form the SU(6) basic particles, then the baryon-antibaryon system must be classified by the SU(6) group (It can be classified into pseudoscalar BB system and vector BB system). The spectrum of the BB system has two characteristics: The "Unitary energy band" and the "strangeness analogy state". In this paper the experimental spectrum of the Pp systemwith spin 1/2 and the calculation show that there exist the SU(6) "Unitary energy band" in the Pp system and exist the "strangeness analogy state" between the Pp system and other BB systems such as np system or BB systems which have strangeness S=±1.
Abstract:
Assuming uniform magnetization of individual magnet pieces, a three dimensional analytical expression for the magnetic field of a newly developed multipole structure of the permanent magnet segmented ring is derived.
Assuming uniform magnetization of individual magnet pieces, a three dimensional analytical expression for the magnetic field of a newly developed multipole structure of the permanent magnet segmented ring is derived.
Abstract:
Basing on the J particle-nucleus scattering, the J particle-nucleon scattering strength is estimated. The calculation result shows that for the scattering on light nucleus, there is no second diffractive maximum, but on heavy nucleus, there is a second diffractive peak. The possibility of the experimental test is briefly disscussed.
Basing on the J particle-nucleus scattering, the J particle-nucleon scattering strength is estimated. The calculation result shows that for the scattering on light nucleus, there is no second diffractive maximum, but on heavy nucleus, there is a second diffractive peak. The possibility of the experimental test is briefly disscussed.
Abstract:
Using Born expansion of Elkonal wave function, a scattering amplitude with large momentum transfer is obtained for B-T equation. Comparing with the experimental data of p-p scattering at √<span style="border-top: 1px solid; padding-top: 0px;">s</span>=6.15 GeV, it is determined that the height of the repulsive core is about 0.37 GeV for a combined Gaussian potential, thus it is proved that an infinite hard repulsive core does not exist in the nuclear force. Beaides, this method can be used to investigate the strong interaction and its variation with energy for other high energy particles.
Using Born expansion of Elkonal wave function, a scattering amplitude with large momentum transfer is obtained for B-T equation. Comparing with the experimental data of p-p scattering at √<span style="border-top: 1px solid; padding-top: 0px;">s</span>=6.15 GeV, it is determined that the height of the repulsive core is about 0.37 GeV for a combined Gaussian potential, thus it is proved that an infinite hard repulsive core does not exist in the nuclear force. Beaides, this method can be used to investigate the strong interaction and its variation with energy for other high energy particles.
Abstract:
At the atmospheric depth x=700 g/cm2, the vertical intensity of the antiproton is calculated by using the data of the high energy accelerators. The comparison with the experimental result shows that up to energy E0=105 GeV of the primary cosmic ray, the law of the pN collision producing antiproton is consistent with the law of the pp collision at the energies of the high-energy accelerators.
At the atmospheric depth x=700 g/cm2, the vertical intensity of the antiproton is calculated by using the data of the high energy accelerators. The comparison with the experimental result shows that up to energy E0=105 GeV of the primary cosmic ray, the law of the pN collision producing antiproton is consistent with the law of the pp collision at the energies of the high-energy accelerators.
Abstract:
In this paper, a non-steady state solution for the propagation equation is obtained by means of the Green function. We consider several models of the source function in the calculation. The electron spectrum derived from these kinds of source function shows very different properties. Our calculations suggest that the cosmic ray is not in an equilibrium state. It is also pointed out that the cosmic ray can not be considered as the remnants origining from a dramatic astrophysical process in primordial period when our Galaxy began to form. Both the results given by the continuous ejection model and the piont-source model with impulsive ejection can be used to account for the constant slope of the electron spectrum. Perhapes the Pulsar, or rotating neutron star, and the Supernowt may be served as the most likly considerates for the sosmic ray source.
In this paper, a non-steady state solution for the propagation equation is obtained by means of the Green function. We consider several models of the source function in the calculation. The electron spectrum derived from these kinds of source function shows very different properties. Our calculations suggest that the cosmic ray is not in an equilibrium state. It is also pointed out that the cosmic ray can not be considered as the remnants origining from a dramatic astrophysical process in primordial period when our Galaxy began to form. Both the results given by the continuous ejection model and the piont-source model with impulsive ejection can be used to account for the constant slope of the electron spectrum. Perhapes the Pulsar, or rotating neutron star, and the Supernowt may be served as the most likly considerates for the sosmic ray source.
Abstract:
Non-steady state electron spectrum in interstellar medium is investigated by using the model of isotropic diffusion of primary cosmic electrons originated from explosion of supernovae. The diffusion coefficient was determined semi-experientially according to particles resonant scattering on the turbulent by dromagnetic wave. Comparing the solution of the diffusion equation with the electron spectrum which was measured near the earth, we derived the index Γ of the electron spectrum to be Γ～2. Assuming that the electron inverse Compton scattering on 2.7°K background field forms diffusion X-ray sources, we deduce the energy-state function, and then obtain the X-ray spectrum near the earth. The index Γ～2 decided above can also explain the X-ray spectrum index of Nebuler.
Non-steady state electron spectrum in interstellar medium is investigated by using the model of isotropic diffusion of primary cosmic electrons originated from explosion of supernovae. The diffusion coefficient was determined semi-experientially according to particles resonant scattering on the turbulent by dromagnetic wave. Comparing the solution of the diffusion equation with the electron spectrum which was measured near the earth, we derived the index Γ of the electron spectrum to be Γ～2. Assuming that the electron inverse Compton scattering on 2.7°K background field forms diffusion X-ray sources, we deduce the energy-state function, and then obtain the X-ray spectrum near the earth. The index Γ～2 decided above can also explain the X-ray spectrum index of Nebuler.
Abstract:
In this paper, the momentum distribution of the nuclear cluster, which depended on the distance between the centres of wells, is derived by using 6,7Li nuclear cluster structure wave functions taken from the previous paper(1). It is in a good agreement with experimental result, and the enhancements of FWHM of the momentum distribution with increase of incident energy are explained.
In this paper, the momentum distribution of the nuclear cluster, which depended on the distance between the centres of wells, is derived by using 6,7Li nuclear cluster structure wave functions taken from the previous paper(1). It is in a good agreement with experimental result, and the enhancements of FWHM of the momentum distribution with increase of incident energy are explained.
Abstract:
The spectroscopic factors of two-nucleon transfer reactions between even tungsten nuclei have been calculated with the particle number conservation method for treating the pairing force. The gross features of the calculated spectroscopic factors are in agreement with the observed results. The difficulties encountered in the pair-rotational and pair-vibrational pictures disappear in our treatment.
The spectroscopic factors of two-nucleon transfer reactions between even tungsten nuclei have been calculated with the particle number conservation method for treating the pairing force. The gross features of the calculated spectroscopic factors are in agreement with the observed results. The difficulties encountered in the pair-rotational and pair-vibrational pictures disappear in our treatment.
Abstract:
The interplay between the pairing and surface vibrations is investigated within the framework of the generator coordinate method which treats both modes of collective motions on the same footing, By extending subspace we esimate the coupling effect on the pairing vibrational state (1,1) in 208Pb arising from its octupde surface vibration.
The interplay between the pairing and surface vibrations is investigated within the framework of the generator coordinate method which treats both modes of collective motions on the same footing, By extending subspace we esimate the coupling effect on the pairing vibrational state (1,1) in 208Pb arising from its octupde surface vibration.
Abstract:
Using two-quasipartiele energy the rotational alignment angular momentum is calculated, the property of the superband of some nuclei is also analysed qualitatively.
Using two-quasipartiele energy the rotational alignment angular momentum is calculated, the property of the superband of some nuclei is also analysed qualitatively.
Abstract:
An effective rotation-alignment angular momentum J is introduced. The sence for i(ω) and J is discussed, and the yrast band for even-even rare earth nuclei is analysed in a systematic way.
An effective rotation-alignment angular momentum J is introduced. The sence for i(ω) and J is discussed, and the yrast band for even-even rare earth nuclei is analysed in a systematic way.
Abstract:
Using partial fusion mechanism, a possible explaination why the probabilities of 6Be-transfer for reaction 12C+209Bi at the incident energies slightly above the Coulomb barrier are large is given, while the probabilities of α-transfer is almost negligible.
Using partial fusion mechanism, a possible explaination why the probabilities of 6Be-transfer for reaction 12C+209Bi at the incident energies slightly above the Coulomb barrier are large is given, while the probabilities of α-transfer is almost negligible.
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