Volume dependence of bound states with angular momentum.
Volume dependence of bound states with angular momentum.
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束缚态与角动量的体积依赖性
DOI：
10.1103/physrevlett.107.112001
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发表时间：
2011
影响因子：
8.6
通讯作者：
H.-W. Hammer
中科院分区：
文献类型：
--
作者：
S. König;D. Lee;H.-W. Hammer
我们得到了有限周期体中束缚态质量随角动量移动的一般结果。我们的结果直接应用于强子分子以及原子核的晶格模拟。在有限体积下，当波束缚态的束缚增加时，波束缚态的束缚减少。波束缚态的质量移动以及更高的分波依赖于立方旋转群的表示。然而，对于任何角动量的多重平均质量位移都可以用一种简单的形式表示，而且位移的符号是偶数和奇数交替的。我们验证了我们的分析结果与明确的数值计算。我们还数值计算表明，类似的体积修正出现在三体束缚态。
We derive general results for the mass shift of bound states with angular momentumin a finite periodic volume. Our results have direct applications to lattice simulations of hadronic molecules as well as atomic nuclei. While the binding of-wave bound states increases at finite volume, we show that the binding of-wave bound states decreases. The mass shift for-wave bound states as well as higher partial waves depends on the representation of the cubic rotation group. Nevertheless, the multiplet-averaged mass shift for any angular momentumcan be expressed in a simple form, and the sign of the shift alternates for even and odd. We verify our analytical results with explicit numerical calculations. We also show numerically that similar volume corrections appear in three-body bound states.