ISOLDE Shell Model Course for Non Practitioners

Europe/Zurich
593-R-010 (CERN)

593-R-010

CERN

Maria Jose Garcia Borge (CERN)
Description
Large Scale Shell Model calculations are the method of choice for spectroscopic studies in the modern nuclear structure calculations. They can describe simultaneously the spectroscopic properties and the decay of odd and even nuclei in a given mass region. Being fully microscopic, it is as well perfectly suited for studies of the fundamental properties of the nuclear force. The shell model code ANTOINE, created by E. Caurier in Strasbourg, isone of most popular shell model codes in the world. In this course, we plan to familiarize its participants with the basic ideas of the shell model during the lectures as well as with the code ANTOINE, which the participants will use during the computing sessions. In the subsequent lectures we will discuss the ingredients necessary for shell model calculations, the modern theory of the effective interactions, shell model description of collective behavior, including deformed nuclei, and the Lanczos strength function method and its applications to beta-decays and charge exchange reactions. During the sessions, the participants will practice calculations of the spectra, electromagnetic transitions, beta-decays and spectroscopic factors. All participants must have a personal portable computer to take part in the practical sessions. Bibliography: • Basic ideas and concepts in nuclear physics: an introductory approach K. Heyde, IOP Publishing 1994. • Shell model applications to nuclear spectroscopy P.J. Brussaard and P.W.M. Glaudemans, North Holland 1977. • The shell model as a unified view of nuclear structure E. Caurier, G. Martinez-Pinedo, F. Nowacki, A. Poves, A. Zuker, Rev. Mod. Phys.77, 427, 2005.
    • Lectures I
      • 1
        Basic notions: valence spaces, basis (I)
      • 2
        Shell Model codes (I)
      • 11:00
        Break
      • 3
        Basic notions: valence spaces, basis (II)
    • 12:30
      Lunch
    • Computing Session I: Basic notions: valence spaces, basis, codes
      • 4
        Calculating dimensions (option 1)
      • 5
        Estimating computational time (option 2)
      • 6
        Diagonalizations with different pivots (options 4,5,6,7)
      • 7
        Wave functions (option 11)
      • 8
        Changing truncations (option 31)
      • 9
        Changing the basis (options 23, 32, 33)
    • Lectures II
      Video in CDS
      • 10
        Interactions (I)
      • 11
        Effective Interactions (III)
      • 11:00
        Break
      • 12
        Shell Model Description of Collectivity (II)
        Video in CDS
    • 12:30
      Lunch
    • Computing Session II: Effective interactions for SM calculations
      • 13
        Structure of Hamiltonian files
      • 14
        Modifying the s.p. energies
      • 15
        Modifying the monopoles (option 52)
      • 16
        Calculating ESPE
    • Lectures III
      • 17
        Shell Model Description of Collectivity (I)
        Video in CDS
      • 18
        Effective Interactions (III)
        Video in CDS
      • 11:00
        Break
      • 19
        Shell Model Description of Collectivity (II)
    • 12:30
      Lunch
    • Computing III: Spectroscopy
      • 20
        Level schemes
      • 21
        Occupation numbers
      • 22
        Calculations at fixed configuration
      • 23
        Calculating EM transitions (option 12)
    • Lectures IV
      • 24
        Lanczos Strength Functions (I)
      • 25
        Shell Model Description of Collectivity (III)
        Video in CDS
      • 11:00
        Break
      • 26
        LSF for beta decays, spectroscopic factor and more (II)
        Video in CDS
    • 12:30
      Lunch
    • Computing Session IV: Shell model description of deformation.
      • 27
        Sum rules of transition operators (option 21)
      • 28
        Calculation of spectroscopic/intrinsic quadrupole moments
      • 29
        Interpretation of the results: axiality, triaxiality,
    • Computing Session V: Lanczos Strength Functions.
      • 30
        GT transitions (option 24)
      • 31
        Spectroscopic factors (option 26)
      • 32
        Calculation of distributions using LSF method (options 6,7)