Determination of Nuclear Potential from the Nonlinear Meson Theory

黃振麟(J. L. Hwang) ； 王嘉申(C. S. Wang) ； 謝世明(S. M. Hsieh) ； 張如松(Zu-Song Chang)

《Chinese Journal of Physics》 12卷1期 (1974/04) Pp. 37-47

並列摘要

Interpretation of the behaviors of finite nuclei in terms of a nonlinear meson theory is much simpler in procedure than the many-body problem approach. In the present paper, the nonlinear wave equation studied independently by Schiff and Malenka is reexamined, and a systematic procedure is found to determine nuclear one-body potentials from experimental data of nucleon distributions.Originally. the theory of Schiff and Malenka involves an evitable drawback to treat an homogeneous nonlinear differential equation, which is hopeless to solve not only analytically but also numerically by conventional approximate method. This drawback is removed by looking terms involving derivatives as perturbations instead of the conventional treatment for nonlinear term. The solution is then obtainable by steps of iteration even with a hand computer. Two types of nucleon distribution, (i) Fermi-type and (ii) 3-parameterstype, are used as examples to derive the nuclear potential of the 19779Au nucleus. Only two steps of iteration yield satisfactory results for both cases.