Modern Theory of Nuclear Structure, Exotic Excitations and Neutrino-Nucleus Reactions

1. NuPECC Meeting, Zagreb, 13.-14.6.2008. Modern Theory of Nuclear Structure, Exotic Excitations andNeutrino-Nucleus Reactions Modern Theory of Nuclear Structure, Exotic Excitations andNeutrino-Nucleus Reactions Modern Theory of Exotic Nuclear Structure: Excitations, Weak Interaction Rates and Beyond N. Paar Physics Department Faculty of Science University of Zagreb Croatia www.phy.hr/~npaar

4. BEYOND THE MEAN FIELD DESCRIPTION OF NUCLEAR QUANTUM PHASE TRANSITIONS RMF+GCM Transitions between spherical and axially deformed shapes

5. COLLECTIVE EXCITATIONS IN NUCLEI: GIANT RESONANCES Self-consistent description of excitations : relativistic quasiparticle random phase approximation (RQRPA) IVGDR ISGMR

6. EXOTIC MODES OF EXCITATION IN NUCLEI exotic nuclei are characterized by weak binding of outermost nucleons, diffuse neutron densities, formation of the neutron skin and halo effect on multipole response → new exotic modes of excitation PYGMY DIPOLE RESONANCE (PDR) Among the low-lying states, a single state has more distributed structure composed of many transitions from weakly bound neutron orbitals → REVIEW: Paar, Vretenar, Khan, Colò, Rep. Prog. Phys. 70, 691 (2007).

7. PYGMY DIPOLE RESONANCES AND NEUTRON SKIN ●Adrich et al., PRL 95, 132501(2005). Result (averaged 130,132Sn) : a4 = 32.0 ± 1.8 MeV Klimkiewicz, Paar, et al. PRC 76, 051603(R) (2007)

8. Sn isotopes LAND A.Krasznahorkay et al. PRL 82(1999)3216 PYGMY DIPOLE RESONANCES AND NEUTRON SKIN Rn – Rp : 130Sn: 0.23 ± 0.04 fm 132Sn: 0.24 ± 0.04 fm

9. EXOTIC MODES TOWARDS THE PROTON DRIP-LINE Centroid energy and B(E1) for low-lying states PROTON PYGMY DIPOLE RESONANCE Proton PDR is composed from transitions of weakly bound protons including those which are bound only due to the Coulomb barrier Paar, Vretenar, Ring, Phys. Rev. Lett. 94, 182501 (2005)

10. NEUTRINO-NUCLEUS REACTIONS E 3- 2+ 2- 1- Reduced matrix elements for the neutrino-nucleus cross section: 0+ 1+ 0+ ZXN Z+1XN-1 RHB occupation probabilities RQRPA amplitudes Possible extrapolations towards exotic nuclei relevant for astrophysics without any adjustments of interaction parameters

11. DISTRIBUTION OF CROSS SECTIONS OVER MULTIPOLARITIES RHB+RQRPA The knowledge on spin-dipole excitations and higher multipolarities is essential for reliable description of neutrino nucleus cross sections! Paar, Vretenar, Marketin, Ring Phys. Rev. C 77, 024608 (2008)

12. ne-NUCLEUSCROSS SECTIONS AVERAGED OVER NEUTRINO FLUX ne FLUX Experimental flux of neutrinos obtained from m+ decay at rest

13. MUON NEUTRINO CAPTURE, EXOTIC ATOMS, … n FLUX Self-consistent description of muon atom:

14. CROSS SECTIONS FOR SUPERNOVA NEUTRINOS Supernova neutrino flux: 5 Cross section averaged over Supernova neutrino flux 4 3 a 2 1 0 2 4 6 8 10 T[MeV]

15. CONCLUDING REMARKS Unified description of the structure of stable and nuclei far from stability, and reliable extrapolations toward the drip lines When extended to take into account the most important correlations, it describes deformations and shape-coexistence phenomena associated with shell evolution Insight into dynamics of exotic modes of excitation, neutrino-nucleus reactions, weak interaction rates of relevance for nuclear astrophysics www.phy.hr/~npaar

16. T. Nikšić, T. Marketin,D. Vretenar, Zhipan-Li University of Zagreb, Croatia G. A. Lalazissis Aristotle Universtity of Thessaloniki, Greece P. Ring Technische Universitaet Muenchen, Germany G.Colò UniversitàdegliStudi and INFN, Milano, Italy E. Khan IN2P3-CNRS/Université Paris-Sud, Orsay, France