國立臺灣大學物理系所Hwang, Jenn-LinJenn-LinHwangHorng, Jyi-CherngJyi-CherngHorng黃振麟洪吉成2006-09-272018-06-282006-09-272018-06-281964-10http://ntur.lib.ntu.edu.tw//handle/246246/20060927120035570223The problem of how many protons (neutrons) of a given orbital angular mo-mentum Itr are to be found in a nucleus of a given proton number Z (neutron number N) is reinvestigated by means of the improved Thomas-Fermi method. Three kinds of nuclear models are calculated: The types of potentials chosen arc (i) square well potential, (ii)-the Green™s potential, and (iii) the Green™s potential plus 45 times the Thomas-Frenkel spin orbit term. The parameters involved in the potentials are adopted from the paper of Hwang and Yang, which may exactly re-produce the nuclear radii, trends of binding energies, and location of 3s and 4s maxima in the neutron scattering cross section. The eigenvalues calculated by Green are used to simplify the procedure of calculation. The results are then compared with the empirical data compiled by Klinkenbeig. For the last type of potential, the calculation is almost perfectly exact. The first appearance of particles of the next higher angular momentum is almost exact for each model. The puzzle in the Yang™s treatment of the first appearance problem is then solved. The crigin of the appearance of magic numbers in the Yang s calculation is explained in the light of the present theory.application/pdf134049 bytesapplication/pdfzh-TWjournal articlehttp://ntur.lib.ntu.edu.tw/bitstream/246246/20060927120035570223/1/0080.pdf