标题： 短程与长程相互作用及双体弱结合物体的大小 显示英文标题

标题： Short versus long range interactions and the size of two-body weakly bound objects

摘要： 非常弱结合的系统可能表现出与保持系统结合的具体相互作用无关的“普遍”特性。 一个有趣的例子是系统尺寸与分离能之间的关系，或称为标度定律。 到目前为止，标度定律已被研究用于短程和长程（排斥性）势。 我们在此报告适用于更广泛一类势的弱结合两体系统的标度定律，即： 具有排斥核心的短程势和长程吸引势。 我们强调短程和长程情况之间的相似性和差异性。 特别是，我们表明晕态的出现是一种阈值现象，当系统不仅由短程相互作用，而且由长程相互作用结合时，这种现象可以出现，并且对于轨道角动量$\ell$的任何值都如此。 这些结果扩展了我们对晕态系统的传统认识。 显示英文摘要

摘要： Very weakly bound systems may manifest intriguing "universal" properties, independent of the specific interaction which keeps the system bound. An interesting example is given by relations between the size of the system and the separation energy, or scaling laws. So far, scaling laws have been investigated for short-range and long-range (repulsive) potentials. We report here on scaling laws for weakly bound two-body systems valid for a larger class of potentials, i.e. short-range potentials having a repulsive core and long-range attractive potentials. We emphasize analogies and differences between the short- and the long-range case. In particular, we show that the emergence of halos is a threshold phenomenon which can arise when the system is bound not only by short-range interactions but also by long-range ones, and this for any value of the orbital angular momentum $\ell$. These results enlarge the image of halo systems we are accustomed to.