We compute the lowest frequency radial oscillation modes of boson stars. It is assumed that the object is made of pseudo-Goldstone bosons subjected to a scalar potential that leads to a repulsive self-interaction force, and which is characterized by two unknown mass scales m (mass of the particle) and F (decay constant). First we integrate the Tolman-Oppenheimer-Volkoff equations for the hydrostatic equilibrium of the star, and then we solve the Sturm-Liouville boundary value problem for the perturbations using the shooting method. The effective potential that enters into the Schrödinger-like equation as well as several associated eigenfunctions are shown as well. Moreover, we found that the large frequency separation, i.e. the difference between consecutive modes, is proportional to the square root of the mass of the star and the cube of the mass scale defined by $\mathrm{\Lambda }\equiv \sqrt{mF}$.

我们计算玻色子星的最低频率径向振荡模式。假定该物体是由伪金玻色子组成的，玻色子受到标量势的作用，该标量势导致排斥的自相互作用力，其特征在于两个未知的质量标度m（粒子质量）和F（衰减常数）。首先，我们将Tolman-Oppenheimer-Volkoff方程整合为恒星的静水力平衡，然后使用射击方法解决Sturm-Liouville边值问题。还显示了进入类似于Schrödinger方程的有效电势以及几个相关的本征函数。此外，我们发现较大的频率间隔（即连续模式之间的差异）与恒星质量的平方根和质量标度的立方成正比。$\mathrm{\Lambda }\equiv \sqrt{米F}$。