Analytical Solution for S-States with the Woods-Saxon Potentials

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概要

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• Bose et al. have shown for several years that the Schrodinger equation with the Woods-Saxon and derivative Woods-Saxon potentials can be solved in analytical form for S-state neutrons. Explicit expression for the wave function, however, has not yet been given except only in a paper of Bencze. In the present note, an approximate analytical expression for the energy equation of bound S-states is derived, and also corresponding expressions for the phase shift and the scattering length of S-wave scattering are obtained. The mass numbers at which the 3s and 4s giant resonances occur in the low-energy neutron scattering are compared with experiment and with the results of a few other numerical calculations.

• 理論物理学刊行会の論文
• 1968-10-25

著者

• Ishidzu Takehiko

  Department Of Applied Physics Faculty Of Engineering University Of Tokyo

• Ishidzu Takehiko

  Department Of Applied Physics Faculty Of Engineering University

関連論文

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• 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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