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Nuclear Mixed-Symmetry States as Probe for pn Effective Valence Shell Interaction

SFB634. CRE Nuclear/Radiation physics. Collaborators. Outline. Christoph Fransen Georgi Rainovski Jason Holt Nico Orce Oleksiy Burda Peter von Neumann-Cosel Volker Werner Tan Ahn ANL. Mixed Symmetry States Recent Progress Research with RIBs Outlook & Summary. S-DALINAC, TUD.

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Nuclear Mixed-Symmetry States as Probe for pn Effective Valence Shell Interaction

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  1. SFB634 CRE Nuclear/Radiation physics Collaborators Outline Christoph Fransen Georgi Rainovski Jason Holt Nico Orce Oleksiy Burda Peter von Neumann-Cosel Volker Werner Tan Ahn ANL • Mixed Symmetry States • Recent Progress • Research with RIBs • Outlook & Summary S-DALINAC, TUD Nuclear Mixed-Symmetry States as Probe for pn Effective Valence Shell Interaction Norbert Pietralla Institut f ür Kernphysik, TU-Darmstadt Norbert Pietralla Isolde WS2007

  2. Coexist, interplay, and compete? Study collective isovector valence shellexcitations (combine all 3 aspects) Generic Aspects of NuclearStructure Heavy Atomic nucleus Two-fluid quantum system • many-body system • COLLECTIVITY • consists of two equivalent entities (protons-neutrons) • ISOSPIN SYMMETRY • quantum system • SHELL STRUCTURE Study mixed symmetry (MS) structures ! Norbert Pietralla Isolde WS2007

  3. Model pn-symmetry in valence shell IBM, analytic solutions Approximation: Contain pn-antisymmetric boson pairs Signature: enhanced M1 radiation F-spin = Isospin in Systems of “elementary” Bosons Norbert Pietralla Isolde WS2007

  4. E 2+ms 2+n Vpn 2+p 2+1 Simple Example: Harmonic Oscillator, N=2 Norbert Pietralla Isolde WS2007

  5. Experimental signature for MSSs: M1 transitions Lp Ln gp  1 N, g 0 N M1 forbidden between FSSs! Norbert Pietralla Isolde WS2007

  6. Fmax-1 SU(3) Rotor U(5) Vibrator 3+ 3+ 1+ 2+ 1+ 2+ 4+ 2+ 0+ 2+ M1 Scissors mode K=1 E2 0+ MS multi-Phonon structure 4+ Scissors Mode 2+ 2+ A. Richter et al. TU Darmstadt, 1983 0+ 0+ MSSs at the analytical Limits M1 phenomena in the valence shell Sensitivity to Shell Structure Np= N =1 Richter, Kneissl, von Brentano et al. Measure of quadrupole collectivity Stuttgart-Darmstadt-Köln 1+ 2+ • Status of MS structures in vibrational nuclei N. Pietralla et al., PRC 58, 184 (1998) Norbert Pietralla Isolde WS2007

  7. Nb 93 Mixed symmetry phonon structure at N = 52 Orce et. al (2006) Norbert Pietralla Isolde WS2007

  8. M1 strength, 2+ 2+1 Identification of multi-phonon MSSs E2 strength from g.s. Norbert Pietralla Isolde WS2007

  9. First observation of vibrational MS structure in odd-mass nuclei Doppler-shift lifetimes from (n,n‘) at Lexington 94Mo 93Nb 2+ms 1196 2+ 871 0+ B(M1)93Nb = 0.32(11)[0.62(24)]mN2 B(M1)94Mo = 0.56(5) mN2 J.N. Orce et al, PRL 97, 062504 (2006). Norbert Pietralla Isolde WS2007

  10. x Systematic SM calculations from NNinteraction with Vlow-k J. D. Holt et al, (submitted) Yale-Rutgers collaboration (preliminary) Inverse kinematics Coulomb excitation Norbert Pietralla Isolde WS2007

  11. Electron Spectrometer Program at S-DALINAC M1/g-factor = integral  one value Cross sections = differential  a function (1-dim more structure information) 130 MeV in-house electron LINAC ideal for nuclear structure studies Norbert Pietralla Isolde WS2007

  12. Electron scattering on vibrational multi-phonon MSSs Darmstadt data with O.Burda, P.von Neumann-Cosel A.Richter et al. 94Mo(e,e’) iThembaLabs data with H.Fujita P.von Neumann-Cosel et al. 94Mo(p,p’) • Ideal for one-phonon states • Sensitive to 14 lowest 2+ states Norbert Pietralla Isolde WS2007

  13. Experiment QPM IBM-2 SM (Vlow-k) 94Mo(e,e’) Form FactorsTest of quantum mechanical wavefunction IBM-2 and SM Vlow-k in good agreement with experiment. combination with hadronic probe [forward-angle (p,p’) at iThembaLabs] allows for isospin-sensitivity. Norbert Pietralla Isolde WS2007

  14. 788 (2+1→0+) carbon 138Ce@480MeV 2+ms 1448 (2+ms→2+ 1) 2237 (2+ms→0+ 1) M1 2+1 exotic nuclei E2 REX-Isolde, HRIBF, CARIBU,… gs Inverse kinematics CoulEx to MSSs at ANL Coulomb excitation 138Ce 138Ce Detector array Study pn-symmetry in valence shell G.Rainovski, NP et al, PRL 96 122501 (2006) Norbert Pietralla Isolde WS2007

  15. 2+ms CoulEx of Mixed-Symmetry States Observe 2+1,2,3,4,5,6 up to 2.7 MeV in collaboration M.P.Carpenter R.V.F.Janssens C.J.Lister S.Zhu G.Rainovski, NP et al., Phys.Rev.Lett. 96 122501 (2006). Gammasphere at ANL Norbert Pietralla Isolde WS2007

  16. B(E2, 21+)↑= 0.450(30) e2b2 t = 91(36)fs t = 156(10)fs t = 82(5)fs t = 180(9)fs t = 1.204(33)ps CLX B(l, Jj+) BR t The population cross-sections at 480 MeV + Radiation character from angular distribution CLX code (H. Ower – J. Gerl – H. Scheit) Based on Multiple step Coulex theory (Winter – de Boer) Norbert Pietralla Isolde WS2007

  17. Transition Strength Distributions E2 M1 E2 Norbert Pietralla Isolde WS2007

  18. MSS Investigation @ Argonne (“Missia”) program overview Sm Ce Ba Xe Previous literature Published Under analysis Expt accepted proposed • ANL ATLAS Superconducting LINAC • Gammasphere Chart from: http://www.nndc.bnl.gov Norbert Pietralla Isolde WS2007

  19. 2+ms 2+ms Recent Coulex Experiments November 2005 at ANL: 136Ce, 134Xe June 2006 at ANL: 124,126,128,130,132Xe (under analysis) 132Xe 134Xe Norbert Pietralla Isolde WS2007

  20. E 132Te 2+ms 2+n 2+2 Vpn ~ (NpNn)1/2 Vpn 2+p 2+1 Direct evidence for p-n interaction Vpn in the valence shell One phonon 2+ evolution in N=80 isotones 2+ms 2+1 Proton Number Z • Energy splitting increases with growing valence shell (increasing Np) Task for Radioactive Beam Accelerators (e.g. HRIBF, REXIsolde…) Norbert Pietralla Isolde WS2007

  21. What RIB intensity needed for studying MSSs? 15 h at 6.109 pps! 1/25 107pps for 2 weeks 2+ms 1/250 106pps for 2 weeks 2+ms To identify excited 2+ state (beyond the 2+1) in vibrational nucleus (B(E2)~1Wu) with Gammasphere for 2 weeks beam time we need 105pps. For complete spectroscopy 106-107 pps will be needed! 1/2500 105pps for 2 weeks Norbert Pietralla Isolde WS2007

  22. (e,e’)  transition densities for p and n Trace evolution of Vp-n RIBS  exotic nuclei HRIBF, ANL CARIBU, REX-ISOLDE, SPIRAL II, … 132Te 2+ evolution in N=80 isotones 2+ms 2+1 Proton Number Z Outlook 140Xe 2+ FWHM ~9 keV R. Kruecken et al. Munich (2006) 140Xe 4+ MINIBALL @ CERN REX-ISOLDE 5•105 part/sec Norbert Pietralla Isolde WS2007

  23. Summary • Proton-Neutron Mixed-Symmetry States are sensitive probes of the pn-interaction in the valence shell • 94Mo – a textbook example • 93Nb – first vibrational MSSs in odd-A nucleus • Advances in nuclear theory (Vlow-k for MS) • First g-factors for MSSs (92,94Zr) • New avenue in (e,e’) @ S-DALINAC • “Missia” program @ ANL • Great potential for RIBs (map Vpn in exotic regions) Norbert Pietralla Isolde WS2007

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