Vol. 19, No. 6 (1963)
1963, 98 (6): 341-359. doi: 10.7498/aps.19.341
Spinor wave functions are expressed in terms of variables in the coordinate system carried with the particle. The properties of various simple systems are discussed with the help of wave functions or scattering functions expressed in this form. The differential operators are expressed in terms of the infinitesimal rotation operators in the coordinate system carried with the particle. A simple way of separating the variables of various spinor wave equations is given.
We have analyzed the effects of the pairing force on the nuclear structure of light nuclei: F19-g24. It is found that with the coupling strength G, Gx A~16-18 Mev, the observed moments of inertia of these nuclei can be predicated very well. The estimated even-odd mass difference P in general is a little larger than the energy gap in light nuclei. The fluctuation of the number of particles △N~1-1.5. The neglected higher-order terms in Bogolyubov-Belyaev's theory are also discussed. The main difficulties of the theory are the nonconservation of the number of particles, the treatment of excited states and the up pairing force.
1963, 98 (6): 384-397. doi: 10.7498/aps.19.384
The results presented in this paper may be classified into three categories. First, there is derived the characteristics of gain, bandwidth, and figure of merit of a non-degenerative parametric amplifier of both fundamental and sub-harmonic pumping; and the comparison between them is carried out in substantial detail. Second, there is devised an analytical method for determining the harmonic contents of the capacitance of a nonlinear semiconductor diode, which is negatively biased and is under the action of a strong high frequency pumping voltage. The magnitudes of bias and pumping voltage are thus found quantitatively. Also, the stability requirements for pumping amplitude and pumping frequency are discussed. Third, the noise figure of a parametric amplifier itself and the effective noise figure of the amplifier loaded with a noisy second stage, which may be a frequency converter, are derived. Factors such as diode loss, match, and the bandwidth ratio of the signal to the idler circuit are all considered in the derivations so as to make the results with greater importance for practical applications. Finally, a numerical example is given to show the utility of the results presented in this paper and to illustrate a possible design procedure of a non-degenerative parametric amplifier.
The expression of the absorptive part of the nucleon-nucleon scattering amplitude in the "strip approximation" is given. Utilizing the experimental data of low energy π-N scattering, the total cross section of N-N inelastic scattering at 4 BeV. laboratory energy is calculated. For p-p scattering we find σin=25 mb., in agreement with the experimental data. However, the isotopic spin dependence is important in the energy region 3-4 BeV. The result shows that the internal part of the spectral function may be also important.