Study of the Alpha-Clustering Structure of ^<20>Ne Based on the Resonating Group Method for ^<16>O+α : Analysis of Alpha-Decay Widths and the Exchange Kernel

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The alpha-clustering structure of Ne^20 is investigated on the basis of the one-channel resonating group method for the O^16+α system. Scattering phase shifts are calculated for 0≦L≦14 in the region 0<E_<e. m>. <45 MeV. Energy spectra and α-decay widths of the first K^π=0^± bands are well reproduced. Further discussion is made on α-spectroscopic factors, the rms distance between the c. m. of the O^16 and alpha cluster, intrinsic quadrupole moments and B(E2) strengths for the bands. It is concluded that the K^π=0-band states(L≦9) have strongly an O^16-α molecule-like character and that the ground band states(L≦8) have rather a shell-model-like character but can also be described fairly well within the framework of the one-channel resonating group method; the exchange kernel melts strongly the O^16-α molecule-like character in the latter band. The exchange kernel is analysed by showing a kind of its equivalent local potential between the O^16 and alpha cluster. It is further shown that there appears an excited K^π=0^+ band with spin up to 12^+ and that the11-level seems to belong to the first K^π=0-band, Two kinds of nucleon-nucleon potentials of the reaction-matrix type and of phenomenological type are examined in the present analysis.
理論物理学刊行会の論文
1975-03-25