论文标题
伪SU（3）方案中集体变形变量beta和伽马的无参数预测
Parameter-free predictions for the collective deformation variables beta and gamma within the pseudo-SU(3) scheme
论文作者
论文摘要
核波函数的空间部分的短范围性质的后果是通过对稀有土壤区域的集体变形参数beta和gamma进行研究，迫使核波函数的空间部分对伪SU（3）方案进行对称。 It turns out that beyond the middle of each harmonic oscillator shell possessing an SU(3) subalgebra, the highest weight irreducible representation (the hw irrep) of SU(3) has to be used, instead of the irrep with the highest eigenvalue of the second order Casimir operator of SU(3) (the hC irrep), while in the first half of each shell the two choices are identical. HW IRREP的选择预测，从珍珠质量到稀有地球区域的上端的过渡，在W，W，OS和PT系列中的中子数n = 114和116之间，与可用的实验信息一致，而HC IRREP的选择则导致了在sell中的过渡，而不是在中间的实验，这是selle的实验，这是sell的实验。在均匀核的基态中，占地的占主导地位是作为副产品获得的。
The consequences of the short range nature of the nucleon-nucleon interaction, which forces the spatial part of the nuclear wave function to be as symmetric as possible, on the pseudo-SU(3) scheme are examined through a study of the collective deformation parameters beta and gamma in the rare earth region. It turns out that beyond the middle of each harmonic oscillator shell possessing an SU(3) subalgebra, the highest weight irreducible representation (the hw irrep) of SU(3) has to be used, instead of the irrep with the highest eigenvalue of the second order Casimir operator of SU(3) (the hC irrep), while in the first half of each shell the two choices are identical. The choice of the hw irrep predicts a transition from prolate to oblate shapes just below the upper end of the rare earth region, between the neutron numbers N=114 and 116 in the W, Os, and Pt series of isotopes, in agreement with available experimental information, while the choice of the hC irrep leads to a prolate to oblate transition in the middle of the shell, which is not seen experimentally. The prolate over oblate dominance in the ground states of even-even nuclei is obtained as a by-product.
