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EWON Workshop, Prague, 10-12 May 2007 GOSIA as a tool for COULEX on exotic beams Katarzyna Wrzosek Heavy Ion Laboratory Warsaw University.

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Presentation on theme: "EWON Workshop, Prague, 10-12 May 2007 GOSIA as a tool for COULEX on exotic beams Katarzyna Wrzosek Heavy Ion Laboratory Warsaw University."— Presentation transcript:

1 EWON Workshop, Prague, 10-12 May 2007 GOSIA as a tool for COULEX on exotic beams Katarzyna Wrzosek Heavy Ion Laboratory Warsaw University

2 EWON Workshop, Prague, 10-12 May 2007 LOW - ENERGY COULOMB EXCITATION:  Well-established method to study collective excitations in nuclei.  Purely electromagnetic  the only nuclear properties involved are the matrix elements of the electromagnetic multipole moments.

3 EWON Workshop, Prague, 10-12 May 2007 208 Pb

4 EWON Workshop, Prague, 10-12 May 2007 COULEX Analysis Scheme Measured  yields available spectroscopic data ( , BR,  ) available spectroscopic data ( , BR,  ) Level scheme Experimental setup geometry: particle and  detectors set of matrix elements shape parameters for individual states SIGMA GOSIA MINIMALIZATION PROCEDURE Errors estimation Quadrupole rotational invariant sum rules

5 EWON Workshop, Prague, 10-12 May 2007 GOSIA  GOSIA is a Rochester – Warsaw semiclassical coupled- channel Coulomb excitation least-squares search code.  Developed in early eighties by T. Czosnyka, D. Cline, C.Y.Wu and continuously upgraded to fulfill requirements of new experiments.  Used extensively for Coulomb excitation studies of a wide range of nuclei.  Typical use of GOSIA: 1. Fitting of the matrix elements to the experimental data. 2. Simulation of the experiments: to predict which  - ray will be observed to check to what extent the observation will depend on individual matrix elements.

6 EWON Workshop, Prague, 10-12 May 2007 AN EXAMPLE: COULOMB EXCITATION OF 74,76 Kr @ GANIL  Coulomb excitation is the only method that can directly distinguish between different shapes of the nucleus  ideally suited to verify the shape coexistence scenario in the Kr isotopes.  Shape parameters of the two lowest 0 + states in 74 Kr and 76 Kr nuclei were inferred from coulomb excitation data.  The Coulomb excitation analysis were performed using the last squares fitting code GOSIA.

7 EWON Workshop, Prague, 10-12 May 2007 EXPERIMENTS (SPIRAL @ GANIL) 74 Kr + 208 Pb (5·10 5 pps, 4.7·A MeV) 74 Kr 76 Kr 76 Kr + 208 Pb (10 6 pps, 4.4·A MeV) E. Clement et al., submitted to Phys Rev C 508 keV 770 keV

8 EWON Workshop, Prague, 10-12 May 2007 39.5° - 49.0°61.4° - 71.8°71.0° - 87.7°107.0° - 121.5° 76 Kr

9 EWON Workshop, Prague, 10-12 May 2007 RESULTS

10 QUADRUPOLE ROTATIONAL INVARIANT SUM RULES model independent description of the nuclear shape is based on a fact, that scalar products of E2 operators are rotational invariants. Operator products may be expressed using the intermediate state expansion formula: is based on a fact, that scalar products of E2 operators are rotational invariants. Operator products may be expressed using the intermediate state expansion formula:

11 EWON Workshop, Prague, 10-12 May 2007 QUADRUPOLE ROTATIONAL INVARIANT SUM RULES model independent description of the nuclear shape To get information on triaxiality the higher order invariant is needed: To get information on triaxiality the higher order invariant is needed:

12 EWON Workshop, Prague, 10-12 May 2007RESULTS  The deformation of the 0 + 1 is very similar in 74 Kr and 76 Kr. Triaxiality parameter:  the ground state of 76 Kr is prolate, while the 0 + 2 state has an triaxial shape.  Both, the ground state and the 0 + 2 state of 74 Kr are triaxial, but with different  parameter.

13 EWON Workshop, Prague, 10-12 May 2007 Collaboration of 74,76 Kr Project CEA Saclay, France E.ClémentA.GörgenW.KortenE.BouchezA.ChatillonA.Hürstel Y.Le Coz A.ObertelliCh.TheisenJ.N.Wilson CEA/DIF, France J.-P. Delaroche M.GirodH.GoutteS.Péru GANIL, Caen, France J.M.Casandjian G. de France HIL Warsaw, Poland T.Czosnyka J.Iwanicki (OLL, Liverpool) P.J.Napiorkowski M.Zielińska (CEA Saclay) Oliver Lodge Lab., Liverpool, UK C.Andreoiu P.A.Butler R.-D.Herzberg D.G.Jenkins G.D.Jones Univ. Of Surrey, Guildford, UK W.N.Catford C.Timis GSI, Darmstadt, Germany F.Becker J.Gerl NBI, Copenhagen, Denmark G.Sleten

14 EWON Workshop, Prague, 10-12 May 2007 List of the experiments where GOSIA was recently used ISOLDE (MINIBALL), CERN:  J. Cederkall – 108 Sn, 110 Sn  J. Iwanicki - 88 Kr, 92 Kr  A. Hurst - 70 Se  I. Stefanescu – 68 Cu, 70 Cu  J. Van de Walle – 74 Zn GANIL (EXOGAM), FRANCE:  E. Bouchez – 76 Kr  E. Clement – 74 Kr  M. Zielińska – 44 Ar JYVASKYLA, FINLAND  F. Becker – 78 Kr JAEA, TOKAI, JAPAN:  M. Koizumi - 66 Zn, 68 Zn  T. Hayakawa – 78 Se  A. Osa - 84 Kr  Y. Toh – 70 Ge  M. Zielińska – 96 Mo ANL (Gammasphere), USA  A.Hayes – 178 Hf Next experiments ISOLDE (MINIBALL), CERN:  E. Clement – 96 Sr (Jul 2007)  P.Butler, P. Van Duppen - 182,184 Hg (Aug 2007) JRA6 INTAG

15 EWON Workshop, Prague, 10-12 May 2007 Warsaw Coulomb Excitation Group @ Heavy Ion Laboratory, Warsaw Univ.  Tomasz Czosnyka  Julian Srebrny  Jędrzej Iwanicki  Paweł Napiorkowski  Magdalena Zielińska (CEA Saclay)  Katarzyna Wrzosek  Katarzyna Hadyńska (UAM, Poznań)  Daniel Piętak (PW, Warsaw)

16 EWON Workshop, Prague, 10-12 May 2007 Thank you Thank you


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