硼、碳、氮、氧同位素的壳模型研究--基于胆甾醇-普适相互作用
Shell-model study of boron, carbon, nitrogen and oxygen isotopes based on monopole-based-universal interaction
摘要：
本文用一个新构造的基于互作用的壳模型哈密顿量（$V_{MU}$）研究了硼、碳、氮和氧同位素。在包含$(0-3)\hbarω$激发的全psd模型空间中，该哈密顿量能很好地再现这些核的基态能量、能级、电四极子性质和自旋性质.特别是，它正确地描述了碳、氧同位素的滴线以及$^{10}$ B和$^{18}$ N的基态自旋，而以前的一些相互作用如WBP和WBT则失效了。我们指出，列入$2\hbarω$激发是很重要的，在重现这些属性。在目前的$(0+2)\hbarω$计算中，小而恒定的E2有效电荷似乎工作得很好。由于包含了$2\hbarω$模型空间，因此发生了相当小的变化，这似乎与$^{4}$ He内核的小有关。类似地，自旋g因子非常接近自由值。张量和自旋轨道力在自由空间中，这是在本哈密顿量的适用性，检查壳模型计算。
英文摘要：
We study boron, carbon, nitrogen and oxygen isotopes with a newly constructed shell-model Hamiltonian developed from monopole-based-universal interaction ($V_{MU}$). The present Hamiltonian can reproduce well the ground-state energies, energy levels, electric quadrupole properties and spin properties of these nuclei in full psd model space including $(0-3)\hbarω$ excitations. Especially, it correctly describes the drip lines of carbon and oxygen isotopes and the spins of the ground states of $^{10}$B and $^{18}$N while some former interactions such as WBP and WBT fail. We point out that the inclusion of $2\hbarω$ excitations is important in reproducing some of these properties. In the present $(0+2)\hbarω$ calculations small but constant E2 effective charges appear to work quite well. As the inclusion of the $2\hbarω$ model space makes rather minor change, this seems to be related to the smallness of $^{4}$He core. Similarly, the spin g factors are very close to free values. The applicability of tensor and spin-orbit forces in free space, which are taken in the present Hamiltonian, is examined in shell model calculations.
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