标题： 非线性薛定谔方程在量子液滴上的孤子 显示英文标题

标题： Nonlinear Schrodinger Equation Solitons on Quantum Droplets

摘要： 无旋流动的球形薄液层围绕刚性核心，使用非聚焦非线性薛定谔方程来描述。 因此，方位移动的非线性波由由椭圆函数表示的周期性暗孤子进行建模。 在量子区域，使用代数贝特 ansatz 来捕捉这些运动的能量水平，我们预计这将对由量子液滴模型描述的变形重核表面的核团簇动力学具有相关性。 为了验证该模型，我们将理论能量光谱与实验结果中的能量、角动量和宇称对于α粒子团簇核进行匹配。 显示英文摘要

摘要： Irrotational ow of a spherical thin liquid layer surrounding a rigid core is described using the defocusing nonlinear Schrodinger equation. Accordingly, azimuthal moving nonlinear waves are modeled by periodic dark solitons expressed by elliptic functions. In the quantum regime the algebraic Bethe ansatz is used in order to capture the energy levels of such motions, which we expect to be relevant for the dynamics of the nuclear clusters in deformed heavy nuclei surface modeled by quantum liquid drops. In order to validate the model we match our theoretical energy spectra with experimental results on energy, angular momentum and parity for alpha particle clustering nuclei.