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Presentation of the PhD thesis “Statistical properties in the quasi-continuum of atomic nuclei”. Ann-Cecilie Larsen May 20, 2008. The atomic nucleus. Quantum energy levels. Nuclear level density = number of energy levels within one energy unit. Decay probability.
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Presentation of the PhD thesis“Statistical properties in the quasi-continuum of atomic nuclei” Ann-Cecilie Larsen May 20, 2008
The atomic nucleus Ann-Cecilie Larsen
Quantum energy levels • Nuclear level density = number of energy levels within one energy unit Ann-Cecilie Larsen
Decay probability • Transition between quantum levels • Fermi’s golden rule: • Gamma-ray transmission coefficients and strength functions i f Giant dipole resonance, 98Mo Ann-Cecilie Larsen
Applications • Nucleosynthesis in supernovae • Transmutation of nuclear waste Ann-Cecilie Larsen
Motivation • Level density and gamma-ray strength function in medium-mass nuclei: 44,45Sc, 50,51V, 93-98Mo • Shell effects? • Decay probability in the quasi-continuum? Ann-Cecilie Larsen
The Oslo Cyclotron Laboratory • Reactions: inelastic scattering (3He,3He’), and pick-up (3He,) • Low spin and high intrinsic excitation energy • CACTUS: 28 5”x5” NaI (~15% eff.) • Eight E-E Si particle telescopes Ann-Cecilie Larsen
NaI(Tl) Si E-E telescope 3He 45o Target nucleus Particle-gamma coincidences Ann-Cecilie Larsen
The Oslo method in a • Unfold -ray spectra • Apply first-generation subtraction method • Ansatz: decay probability(Ex-E)T(E) 44Sc Ann-Cecilie Larsen
Quality of the extraction, 44Sc Ann-Cecilie Larsen
Experimental level densities Ann-Cecilie Larsen
Shell effects in the Mo isotopes Calc. from neutron res. data Back-shifted Fermi gas: Ann-Cecilie Larsen
Comparison with theory, 51V • Fermi gas? Ann-Cecilie Larsen
Thermodynamics Microcanonical vs. canonical ensemble Ann-Cecilie Larsen
Microcanonical entropy Ann-Cecilie Larsen
J Combinatorial model • Combining all possible proton and neutron configurations • Nilsson energy scheme • BCS quasiparticles Ann-Cecilie Larsen
Calculated level densities, average number of broken pairs Ann-Cecilie Larsen
Parity asymmetry • Defining the parity asymmetry: Ann-Cecilie Larsen
Experimental gamma-ray strength functions Ann-Cecilie Larsen
Comparison with theory • Anomalous strength functions? TXL(E) = 2 E2L+1 fXL fXL(E) =E-(2L+1) XL(E)/D Assuming only dipole radiation: f(E) T(E) / 2E3 Ann-Cecilie Larsen
Papers included in the thesis Ann-Cecilie Larsen
Highlights • The Oslo method works well for medium-mass nuclei • Pronounced shell effects • Single quasi-particle entropy constant, but vanish near shell closures • Enhancement of low-energy gamma decay probability established for all nuclei studied Thank you for your attention! Ann-Cecilie Larsen