The first international lecture series on clustering as a window on the hierarchical structure of quantum systems
タイトル : The Few-Nucleon System : from Yukawa to LQCD
In these series of lectures I will review the history of our theoretical description of (light) nuclei from the Yukawa theory - in terms of neutrons and protons - to the recent description in terms of quarks and gluons.
The following topics will be covered :
1. THE LONG WAY TOWARDS A REALISTIC NN INTERACTION
- History of NN forces: with special emphasis in the major role of japanese physicists all along.
- From Yukawa theory to first One Boson Exchange (OBE) models [Hiroshima-Osaka (1961)] to the very accurate CD-Bonn 2001 :
- Paris (1974-1980), Nijmegen (1978), Urbana-Argone (1981-1995) and CD-Bonn (1987) Numerical Methods for the 2-body problem
- Splines an Lagrange interpolation basis
- Invers Iteration Method to compute eigenvalues
- Methods for computing resonances: CSM and ACCC
- The case of two-neutrons
2. EXACT METHODS FOR SOLVING THE FEW-BODY PROBLEM IN NRQM
- The limits of the Schrodinger equation in describing the 3-body scattering problem.
- The Fadeeev-Yakubowsky equations A=3, 4, 5
- Numerical solutions in configuration space
- Other Few-Body techniques (Gaussian expansion, HH, AGS equations, GFMC)
3. The underbinding problem and related failures: the appearence of 3N Forces
4. QCD inspired Interactions : the EFT "wave"
- Removing (almost) all mesons and contact interactions
5. Description in terms of quarks and gluons (LQCD)
- The luxuriant complexity of the conventional Nucleon-Nucleon interaction (either in traditional meson exchange or in EFT frameworks) and the return to the bareness
- The recent progress in Lattice QCD calculations applied to nuclear Physics will be reviewed and show how this - a priori unlikely - approach Results into a disarming simplicity for the description of light nuclei and even some simple nuclear reactions.
At each step I will detail the numerical techniques that provide the practical solution of the problem (including computation of resonances, CSM, ACCC, LQCD, etc).
The lectures will be addressed to PhD students, Postdocs and non specialists in the subject.
Their ambition is to provide the audience with a road map of a standard few-body and LQCD techniques and a key to decrypt the abondant literature in the subject.