国際レクチャーシリーズ第2回

The second international lecture series on clustering as a window on the hierachical structure of quantum systems

講師：Pascal Naidon(理化学研究所)
TITLE:  Universal clusters and Efimov physics
場所：理研・脳科学池の端研究棟３階大会議
日時：1月8日１０：３０ー１２：００　
　　　　　　１３：３０－１５：００
　　　　　　１５：３０－１７：００

 ABSTRACT: Unlike classical systems, quantum few-body systems can be unbound in the presence of short-range attractive forces. Near the critical strength of the forc\ es at which they can become bound (resonant forces), they exhibit universal properties that are independent of the details of the forces. In this lecture, I will explain in \ detail the universality of systems with resonant short-range forces, in particular the Efimov effect for 3 or more particles. I will also present the universal properties of\ systems with power-law interaction forces, such as van der Waals forces that are relevant to neutral atoms.

0.      INTRODUCTION
1.      TWO-BODY PHYSICS
  • Basic scattering theory
  • Resonances and zero-range universality
  • Feshbach resonances in ultra-cold atoms
2.      A HISTORY OF THE THREE-BODY PROBLEM AND THE EFIMOV EFFECT
  • 1935 The Thomas collapse
  • 1957 The Skorniakov- Ter-Martirosian equation
  • 1962 The analytical solution of Minlos-Faddeev
  • 1970 Efimov's breakthrough
3.      ZERO-RANGE UNIVERSALITY: A REVIEW OF UNIVERSAL CLUSTERS
  • Identical bosons
  • 3 identical bosons
  • 4 and more identical bosons
  • Particle with identical bosons
  • 1 particle + 2 bosons
  • 1 particle + 3 bosons
  • Particle with identical fermions
  • 1 particle + 2 fermions: Efimov trimers and Kartavtsev-Malykh universal trimers
  • 1 particle + 3 fermions and more: the four-body and five-body Efimov effect
  • Experimental observations
  • Helium-4
  • Ultra-cold atoms
  • Nuclear physics
4.      VAN DER WAALS UNIVERSALITY
  • Two-body universality
  • The van der Waals universality of the three-body parameter