The Hyperspherical Harmonics Method: A Tool for Testing and Improving Nuclear Interaction Models
The Hyperspherical Harmonics Method: A Tool for Testing and Improving Nuclear Interaction Models
复制标题
超球面谐波方法：测试和改进核相互作用模型的工具
作者：
L. Marcucci;J. Dohet;L. Girlanda;A. Gnech;A. Kievsky;M. Viviani
超球谐函数（HH）方法是求解核子数A ≤ 4的核系统量子力学问题的最精确方法之一。特别是，通过应用瑞利-里兹或科恩变分原理，无论是绑定和散射状态可以解决，使用本地或非本地的相互作用。由于这种多功能性，该方法可以用来测试两个和三个核子的核相互作用的组成部分。在本文中，我们介绍了HH方法的形式，包括束缚态和散射态。特别是，我们描述的方法来研究A = 3和4的散射问题的实施。第二，我们提出了一个选择的结果，在过去十年中，最有代表性的最新成就。最后，我们总结了我们认为在未来5-10年内HH方法最重要的发展。
The Hyperspherical Harmonics (HH) method is one of the most accurate techniques to solve the quantum mechanical problem for nuclear systems with a number of nucleons A ≤ 4. In particular, by applying the Rayleigh-Ritz or Kohn variational principle, both bound and scattering states can be addressed, using either local or non-local interactions. Thanks to this versatility, the method can be used to test the two- and three-nucleon components of the nuclear interaction. In the present review we introduce the formalism of the HH method, both for bound and scattering states. In particular, we describe the implementation of the method to study the A = 3 and 4 scattering problems. Second, we present a selected choice of results of the last decade, most representative of the latest achievements. Finally, we conclude with a discussion of what we believe will be the most significant developments within the HH method for the next 5–10 years.