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Challenges on phase transitions and gamma-strength functions Magne Guttormsen Department of Physics, University of Oslo. Oslo method Thermodynamics Electromagnetic transitions Challenges. Workshop on
Level Density and
Gamma Strength in Continuum, Oslo, May 21 - 24, 2007. E x.

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Challenges on phase transitions and gamma-strength functions Magne Guttormsen

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Challenges on phase transitions and gamma strength functions magne guttormsen

  • Challenges on phase transitions and

  • gamma-strength functions

  • Magne Guttormsen

  • Department of Physics, University of Oslo

    • Oslo method

    • Thermodynamics

    • Electromagnetic transitions

    • Challenges

    Workshop on
Level Density and
Gamma Strength in Continuum, Oslo, May 21 - 24, 2007


    Challenges on phase transitions and gamma strength functions magne guttormsen

    Ex

    T = 1 MeV

    Spin

    2-6 ħ

    Spin-energy diagram

    Yrast line

    (no levels)

    Workshop on
Level Density and
Gamma Strength in Continuum, Oslo, May 21 - 24, 2007


    Challenges on phase transitions and gamma strength functions magne guttormsen

    M

    F0

    -

    G

    M-1

    =

    1

    W

    The first generation method

    F0

    F1

    F2

    F3

    Workshop on
Level Density and
Gamma Strength in Continuum, Oslo, May 21 - 24, 2007


    Challenges on phase transitions and gamma strength functions magne guttormsen

    Gamma-ray multiplicity

    E

    Spin

    E

    Spin

    Workshop on
Level Density and
Gamma Strength in Continuum, Oslo, May 21 - 24, 2007


    Challenges on phase transitions and gamma strength functions magne guttormsen

    The Brink Axel hypothesis

    Workshop on
Level Density and
Gamma Strength in Continuum, Oslo, May 21 - 24, 2007


    Challenges on phase transitions and gamma strength functions magne guttormsen

    Does it work?

    Workshop on
Level Density and
Gamma Strength in Continuum, Oslo, May 21 - 24, 2007


    Challenges on phase transitions and gamma strength functions magne guttormsen

    Nuclear entropy

    Workshop on
Level Density and
Gamma Strength in Continuum, Oslo, May 21 - 24, 2007


    Challenges on phase transitions and gamma strength functions magne guttormsen

    canonical - canonical ensemble

    Workshop on
Level Density and
Gamma Strength in Continuum, Oslo, May 21 - 24, 2007


    Challenges on phase transitions and gamma strength functions magne guttormsen

    Rare-earth region, case erbium

    Workshop on
Level Density and
Gamma Strength in Continuum, Oslo, May 21 - 24, 2007


    Challenges on phase transitions and gamma strength functions magne guttormsen

    Preliminary

    Proton number Z = 50

    Neutron Cooper pairs

    Workshop on
Level Density and
Gamma Strength in Continuum, Oslo, May 21 - 24, 2007


    Challenges on phase transitions and gamma strength functions magne guttormsen

    J.Lee and J.M.Kosterlitz,

    Phys. Rev. Lett. 65, 137 (1990)

    Workshop on
Level Density and
Gamma Strength in Continuum, Oslo, May 21 - 24, 2007


    Challenges on phase transitions and gamma strength functions magne guttormsen

    Workshop on
Level Density and
Gamma Strength in Continuum, Oslo, May 21 - 24, 2007


    Challenges on phase transitions and gamma strength functions magne guttormsen

    Heat

    bath

    Isolated

    E

    T

    T

    Boltzmannfactor

    S = S0 + S* + S1

    Challenges, new thermodynamic

    Negative Cv(E) and T(E) Smoothed (up to E = 100 MeV)

    Workshop on
Level Density and
Gamma Strength in Continuum, Oslo, May 21 - 24, 2007


    Challenges on phase transitions and gamma strength functions magne guttormsen

    Loved child, many names

    • Radiative strength function (RSF)

    • Photon strength function (PSF)

    • Gamma-ray strength function

    Workshop on
Level Density and
Gamma Strength in Continuum, Oslo, May 21 - 24, 2007


    Challenges on phase transitions and gamma strength functions magne guttormsen

    Ex

    8

    5

    2

    E

    First generation

    procedure

    Axel-Brink

    factorization

    into  and f

    2 4 6 8

    2 4 6 8

    Simulation tests of the Oslo method

    Event-by-event data

    generated in Prague

    with DICEBOX

    Sorted in Oslo into

    (Ex, E) matrix

    Ex

    8

    5

    2

    E

    Workshop on
Level Density and
Gamma Strength in Continuum, Oslo, May 21 - 24, 2007


    Challenges on phase transitions and gamma strength functions magne guttormsen

    Results from the blind test

    Workshop on
Level Density and
Gamma Strength in Continuum, Oslo, May 21 - 24, 2007


    Challenges on phase transitions and gamma strength functions magne guttormsen

    Radiative strength functions

    Workshop on
Level Density and
Gamma Strength in Continuum, Oslo, May 21 - 24, 2007


    Challenges on phase transitions and gamma strength functions magne guttormsen

    Pygmy resonance

    Workshop on
Level Density and
Gamma Strength in Continuum, Oslo, May 21 - 24, 2007


    Challenges on phase transitions and gamma strength functions magne guttormsen

    Scissors mode

    Workshop on
Level Density and
Gamma Strength in Continuum, Oslo, May 21 - 24, 2007


    Challenges on phase transitions and gamma strength functions magne guttormsen

    Giant dipole resonance

    Kadmenskii, Markushev

    and Furman (KMF) model

    Workshop on
Level Density and
Gamma Strength in Continuum, Oslo, May 21 - 24, 2007


    Challenges on phase transitions and gamma strength functions magne guttormsen

    Unexpected RSF upbend

    Physics News Update

    Voinov et al., Physical Review Letters,1 October 2004.

    Also observed in: Mo, V, Sc, Ni, Ti

    (3He, 3He) and (3He, 4He) reactions

    Workshop on
Level Density and
Gamma Strength in Continuum, Oslo, May 21 - 24, 2007


    Challenges on phase transitions and gamma strength functions magne guttormsen

    Upbend in iron

    Workshop on
Level Density and
Gamma Strength in Continuum, Oslo, May 21 - 24, 2007


    Challenges on phase transitions and gamma strength functions magne guttormsen

    Temperature dependence?

    Workshop on
Level Density and
Gamma Strength in Continuum, Oslo, May 21 - 24, 2007


    Challenges on phase transitions and gamma strength functions magne guttormsen

    Verifications

    Budapest

    Research Reactor

    (n, ) reaction

    INPP, Ohio University

    (d,n) reaction

    Subatomic and Astrophysics Division Annual Meeting 2007


    Challenges on phase transitions and gamma strength functions magne guttormsen

    Challenges

    • Understand the difference in quantities observed in different experiments

      • Pygmy resonance

      • GEDR-tail match

      • Low energy -strength

    • Spin distribution

    • Parity asymmetry

    • Thermalization

    • -canonical or canonical ensemble - or another theory?

    • Critical T, how to interpret and measure?

    • Single quasi-particle entropy

    Workshop on
Level Density and
Gamma Strength in Continuum, Oslo, May 21 - 24, 2007


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