Effects of Nuclear Motion on the Fine and the Hyperfine Structure of Hydrogen, I

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概要

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• The effects of nuclear motion on the energy levels of the hydrogen atom are studied by means of the relativistic 16-component wave equation. The former works of Breit and Brown and of Breit and Meyerott are rearranged at first from a somewhat different point of view. Next, it is shown that the original 16-component wave equation is reducible to a two-component radial equation in special case that the total angular momentum F vanishes, and the latter equation is solved by expansion in power series in β(=m / M). In general cases in which F is not zero, only expansion of the equation in power series in α^2(a=e^2 / 〓)enables us to solve the equation successively. This procedure is essentially equivalent to that of Bechert and Meixner, but the process of approximation seems to become clearer in our treatment and some refinement in results is obtained. The result for the correction due to nuclear motion on the fine structure is shown to be in close agreement with those of former works. The correction factor for the hyperfine structure splittings is given by(1+β)^<-3>as usual for the two extreme hyperfine components j=l+1 / 2, F=l+1 and j=l-1 / 2, F=l-1, but is shown to be given by a new factor(1+β)^<-2>for the other two components j=l+1 / 2, F=l. Experimental proof of this factor would be very difficult, however, because the term responsible for this correction factor is absent in the energy expression for s terms, so that this appears only for the components of non-vanishing l terms. Finally some considerations are given about the validity of our results, with special reference to an iterated term of Breit's interaction Y.

• 理論物理学刊行会の論文

著者

• Ishidzu Takehiko

  Department Of Dynamics 1st Faculty Of Engineering Tokyo University

• Ishidzu Takehiko

  Department Of Applied Physics Faculty Of Engineering University

関連論文

• Compressible Oscillations of Heavy Nuclei and the Giant Resonance Energies
• Effects of Nuclear Motion on the Fine and the Hyperfine Structure of Hydrogen, II
• Analytical Solution for S-States with the Woods-Saxon Potentials
• Effects of Nuclear Motion on the Fine and the Hyperfine Structure of Hydrogen, I
• Structure of the f^n Electron Configurations. (II) Spin-orbit Interaction of the Configuration f^3.
• Structure of the f^n Electron Configurations. (I) Coefficients of Fractional Parentage of f^3.
• On the Energy Levels of the Configurations d^4p, d^5p and d^6p.
• Statistical Nuclei with Repulsive Core Interaction

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