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Challenges on phase transitions and gammastrength 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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Workshop on Level Density and Gamma Strength in Continuum, Oslo, May 21  24, 2007
Ex
T = 1 MeV
Spin
26 ħ
Spinenergy diagram
Yrast line
(no levels)
Workshop on Level Density and Gamma Strength in Continuum, Oslo, May 21  24, 2007
M
F0

G
M1
=
1
W
The first generation method
F0
F1
F2
F3
Workshop on Level Density and Gamma Strength in Continuum, Oslo, May 21  24, 2007
Gammaray multiplicity
E
Spin
E
Spin
Workshop on Level Density and Gamma Strength in Continuum, Oslo, May 21  24, 2007
The Brink Axel hypothesis
Workshop on Level Density and Gamma Strength in Continuum, Oslo, May 21  24, 2007
Does it work?
Workshop on Level Density and Gamma Strength in Continuum, Oslo, May 21  24, 2007
Nuclear entropy
Workshop on Level Density and Gamma Strength in Continuum, Oslo, May 21  24, 2007
canonical  canonical ensemble
Workshop on Level Density and Gamma Strength in Continuum, Oslo, May 21  24, 2007
Rareearth region, case erbium
Workshop on Level Density and Gamma Strength in Continuum, Oslo, May 21  24, 2007
Preliminary
Proton number Z = 50
Neutron Cooper pairs
Workshop on Level Density and Gamma Strength in Continuum, Oslo, May 21  24, 2007
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
Workshop on Level Density and Gamma Strength in Continuum, Oslo, May 21  24, 2007
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
Loved child, many names
Workshop on Level Density and Gamma Strength in Continuum, Oslo, May 21  24, 2007
Ex
8
5
2
E
First generation
procedure
AxelBrink
factorization
into and f
2 4 6 8
2 4 6 8
Simulation tests of the Oslo method
Eventbyevent 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
Results from the blind test
Workshop on Level Density and Gamma Strength in Continuum, Oslo, May 21  24, 2007
Radiative strength functions
Workshop on Level Density and Gamma Strength in Continuum, Oslo, May 21  24, 2007
Pygmy resonance
Workshop on Level Density and Gamma Strength in Continuum, Oslo, May 21  24, 2007
Scissors mode
Workshop on Level Density and Gamma Strength in Continuum, Oslo, May 21  24, 2007
Giant dipole resonance
Kadmenskii, Markushev
and Furman (KMF) model
Workshop on Level Density and Gamma Strength in Continuum, Oslo, May 21  24, 2007
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
Upbend in iron
Workshop on Level Density and Gamma Strength in Continuum, Oslo, May 21  24, 2007
Temperature dependence?
Workshop on Level Density and Gamma Strength in Continuum, Oslo, May 21  24, 2007
Verifications
Budapest
Research Reactor
(n, ) reaction
INPP, Ohio University
(d,n) reaction
Subatomic and Astrophysics Division Annual Meeting 2007
Challenges
Workshop on Level Density and Gamma Strength in Continuum, Oslo, May 21  24, 2007