论文标题
通过$ s^2 $上的接触互动相互作用的两个粒子
Two particles interacting via a contact interaction on $S^2$
论文作者
论文摘要
我们考虑通过触点相互作用相互作用的两个粒子，这些粒子被约束到球体，或$ s^2 $。我们确定它们的频谱为任意精度和任意角动量。我们展示了非惯性框架如何导致不同角动量的非平凡溶液。我们的结果代表了有限体积的Lüscher公式的延伸，但现在达到了非平凡的几何形状。我们应用结果来预测选择的两核晕核的光谱，并与实验结果进行比较。
We consider two particles interacting via a contact interaction that are constrained to a sphere, or $S^2$. We determine their spectrum to arbitrary precision and for arbitrary angular momentum. We show how the non-inertial frame leads to non-trivial solutions for different angular momenta. Our results represent an extension of the finite-volume Lüscher formulas but now to a non-trivial geometry. We apply our results to predict the spectrum of select two-nucleon halo nuclei and compare with experimental results.
