arXiv 1208.26822012-08nucl-thnucl-ex

四极矩和能量的系统学

Systematics of quadrupole moments and energies

S. Yeager, L. Zamick, Y. Y. Sharon, Xiaofei Yu, S. J. Q. Robinson

备注：: 1 figure many pages; 56621. arXiv admin note: substantial text overlap with arXiv:0807.4679

摘要：

定义了“四极比”r_{Q} = \dfrac{Q_{0}(S)}{Q_{0}(B)}，其中Q_{0}（S）是由偶偶核2_{1}^{+}态的静态四极矩得到的内禀四极矩，Q_{0}（B）是由B（E2）_{0 \rightarrow 2}得到的内禀四极矩.在这两种情况下，我们都假定一个简单的转动公式，将转动坐标系与实验室坐标系联系起来。如果转动模型是完美的，能量比E（4）/E（2）为10/3，则量r_{Q}为1。在简单的振动模型中，r_{Q}为零，E（4）/E（2）为2。有一些区域几乎满足转动极限，而振动极限也几乎满足的区域较少。然而，对于大多数情况，它在这两个极限之间，即0<|r_{Q}| <1。在少数情况下，r_{Q}大于1，特别是对于轻核。在大多数情况下，四极比为正，但也有两个区域为负。第一种情况是轻核，第二种情况是某些核接近^{208} Pb。

英文摘要：

We define the "quadrupole ratio" r_{Q}=\dfrac{Q_{0}(S)}{Q_{0}(B)} where Q_{0}(S) is the intrinsic quadrupole moment obtained from the static quadrupole moment of the 2_{1}^{+} state of an even-even nucleus and Q_{0}(B) the intrinsic quadrupole moment obtained from B(E2)_{0\rightarrow2} . In both cases we assume a simple rotational formula connecting the rotating frame to the laboratory frame. The quantity r_{Q} would be one if the rotational model were perfect and the energy ratio E(4)/E(2) would be 10/3. In the simple vibrational model, r_{Q} would be zero and E(4)/E(2) would be two. There are some regions where the rotational limit is almost met and fewer where the vibrational limit is also almost met. For most cases, however, it is between these two limits, i.e. 0<|r_{Q}|<1 . There are a few cases where r_{Q} is bigger than one, especially for light nuclei. In most cases the quadrupole ratio is positive but there are two regions with negative ratios. The first case is that of light nuclei and the second has certain nuclei close to ^{208} Pb.

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摘要：

英文摘要：

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