1. Chiral Symmetry Symposium Beijing 2013 Uniwersytet Warszawski Phase transition into spontaneous chiral symmetry breaking Ernest Grodner The Seventh Symposium on Chiral Symmetry Breaking in Hadrons and Nuclei INSTITUTE OF EXPERIMENTAL PHYSICS University of Warsaw

2. Chiral Symmetry Symposium Beijing 2013 C.M. Petrache et al.. Nucl. Phys. A597, 106, (1996) Breaking of the chiral symmetry FIRST OBSERVATION OF THE CHIRAL PARTNER BANDS yrast band side band

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8. Chiral Symmetry Symposium Beijing 2013 Breaking of the chiral symmetry EXAMPLES OF THE PARTNER BANDS

9. Chiral Symmetry Symposium Beijing 2013 Breaking of the chiral symmetry EXAMPLES OF THE PARTNER BANDS

10. Chiral Symmetry Symposium Beijing 2013 Brief theoretical description ENERGIES AND TRANSITION PROBABILITIES Doubling of transition probabilities. The same electromagneti behavior of two partner bands. Transition probability Doubling of energy levels. Chiral doublets Chiral partner bands Energy

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19. Chiral Symmetry Symposium Beijing 2013 n p |p, E P, I, M> |n, E n, I, M> Eigenstate basis In non rotating system

20. Chiral Symmetry Symposium Beijing 2013 R n p |p, E PM, I, +M> |p, E PM, I, -M> Magnetic substate splitting Signature basis states |p, I, r>

21. Chiral Symmetry Symposium Beijing 2013 R n p S(I) ENERGY STAGGERING vs CHIRALITY Coupling of the angular momentum vectors to scalars gives zero. Energy leves staggering must be zero in the chiral case.

22. Chiral Symmetry Symposium Beijing 2013 R n p Large energy splitting for |I,M> and |I,-M> substates Small energy splitting Due to Coriolis interaction in the rotating frame a new eigenstate basis has to be used. The new basis is the total spin I and signature r. |I,r> Large signature splitting for proton. Small signature splitting for neutron S(I) ENERGY STAGGERING vs CHIRALITY

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25. Chiral Symmetry Symposium Beijing 2013 spin S(I)

26. Chiral Symmetry Symposium Beijing 2013 Why 122 Cs ? 124 Cs B(M1) Staggering oberved for I>14h S(I) staggering observed for I<=14 Phase transition arount I=14h. Difficult to study with DSA technique (small Doppler tails)

27. Chiral Symmetry Symposium Beijing 2013 S(I) staggering below I=18h Phase transition shiftet to higher spin values as comparing to 124 Cs 122 Cs Why 122 Cs ?

28. Chiral Symmetry Symposium Beijing 2013 Doublet states as a magnifier of the fundamental T-violation. Nuclear microscope for T-symmetry Quest for parity violation Barry R. Holstein „Weak interactions in nuclei” Princeton Series in Physics (1989)

29. Chiral Symmetry Symposium Beijing 2013 E. Grodner, J. Srebrny, Ch. Droste, M. Kowalczyk, J. Mierzejewski Institute of Experimental Physics, Warsaw University, Warsaw, Poland A. A. Pasternak A. F. Ioffe Physical Technical Institute RAS, St. Petersburg, Russia J. Kownacki, M. Kisieliński, P. Napiorkowski Heavy Ion Laboratory of Warsaw University, Warsaw, Poland S. G. Rohoziński, J. Dobaczewski, P.Olbratowski, W. Satuła Institute of Theoretical Physics, Warsaw University, Warsaw, Poland Collaboration

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33. Chiral Symmetry Symposium Beijing 2013 Imaginary interband Real inband Transition probabilities similar in both bands Inband transition strong => interband weak (vice-versa) Transition probabilities 128 Cs

34. Chiral Symmetry Symposium Beijing 2013 Corresponding transitions inside the bands Linking transitions

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36. Chiral Symmetry Symposium Beijing 2013 γ deformation γ=30 Def. potential triaxial γ soft oblateprolate New S-symmetry

37. Chiral Symmetry Symposium Beijing 2013 B(M1) staggerings correspond to ideal case of chirality: 1)TRIAXIALITY γ=-30° 2)THREE ANGULAR MOMENTUM VECTORS PERPENDICULAR 3)2qp SIGLE-J SHELL CONFIGURATION T. Koike et al., Phys. Rev. Lett. 93, 172502-1 (2004) 1)What about gamma softness? 2) What about spin precession?

38. Chiral Symmetry Symposium Beijing 2013 There are no righthanded massles particles Left-handed lepton and neutrino form SU(2) doublet Right-handed lepton form SU(2) singlet chiral symmetry breaking consequence Chirality in particle physics

39. Chiral Symmetry Symposium Beijing 2013 Appears by separating a component from the system DECOHERENCE Illusion of time Time - quantum illusion? Coherent decoherence

40. Chiral Symmetry Symposium Beijing 2013 E. Grodner, I. Zalewska, T. Morek, J. Srebrny, Ch. Droste, M. Kowalczyk, J. Mierzejewski Institute of Experimental Physics, Warsaw University, Warsaw, Poland A. A. Pasternak A. F. Ioffe Physical Technical Institute RAS, St. Petersburg, Russia J. Kownacki, M. Kisieliński, P. Napiorkowski Heavy Ion Laboratory of Warsaw University, Warsaw, Poland S. G. Rohoziński, J. Dobaczewski, P.Olbratowski, W. Satuła Institute of Theoretical Physics, Warsaw University, Warsaw, Poland Collaboration

41. Chiral Symmetry Symposium Beijing 2013 TWO GENERAL FEATURES OF GAMMA TRANSITION PROBABILITIES FIRST EXPERIMENTAL CONFIRMATION OF COMPLETE SET OF CHIRAL GAMMA SEL. RULES CHIRALITY STRUCTURAL COMPOSITION Transition probabilities similar in both bands Inband B(M1) staggering observed Interband B(M1) staggering with opposite phase observed Similar electromagnetic properties of both of the bands Inband transition strong=>interband weak (vice-versa) Characteristic B(M1) staggerings 126 CS NEW TERM SPIN-CHIRALITY To distinguish the nuclear phenomenon from the one in theory of fundamental interactions Conclusion

42. Chiral Symmetry Symposium Beijing 2013 B(E2) transition probabilities similar in both bands B(M1) transition probabilities similar in both bands B(M1) staggering observed for M1 inband transitions B(M1) staggering observed for M1 interband transitions in both directions: side->yrast & yrast ->side Interband B(M1) staggering has an opposite phase to the inband one First experimental confirmation of the full set of chiral electromagnetic selection rules Well separated left- and right-handed states Strong triaxial deformation Angular mommentum vectors mutually perpendicular Partner bands built on 2qp single-j shell configuration Similar electromagnetic behavior of both bands CHIRALITY The corresponding Hamiltonian has additional invariances and correspodning quantum numbers Staggering of the B(M1) values STRUCTURAL COMPOSITION Transition probabilities 126 Cs

43. Chiral Symmetry Symposium Beijing 2013 beam target recoil COMPA Apparatus lineshape Known level scheme Initial velocity distribution Entry-states distribution Stopping power GAMMA Time-velocity correlation Side-feeding simulation Feeding time distribution SHAPE lifetime Data analysis process A.A. PASTERNAK - MONTECARLO SIMULATIONS

44. Chiral Symmetry Symposium Beijing 2013 gating above method gate set on the Doppler shifted part of the feeding transition (fast component of feeding) Side-feeding process

45. Chiral Symmetry Symposium Beijing 2013 Principles of the lifetime determination DATA ANALYSIS Required good energy resolution excellent apparatus lineshape (gaussian and symmetric) Required time-velocity correlation for the recoils feeding time distribution

46. Chiral Symmetry Symposium Beijing 2013 Side-feeding, experimental parameters 131 La Q high – effective quadrupole moment for high spin levels. Q low – effective quadrupole moment for low spin levels TOP LEVEL LIFETIMES+INTENSITY DISTRIBUTION

47. Chiral Symmetry Symposium Beijing 2013 Recoils emerging into vacuum Velocity distribution corresponds to stopping power parameters Target thickness – recoils range Velocity distribution obtained form doppler broadening of gamma line from levels with lifetimes >2 ps Stopping power of La and Cs recoils in Sn target Semi-thick target method

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49. Chiral Symmetry Symposium Beijing 2013 Inband transition probabilities Identical in both bands Interband transition probabilities Identical in both bands

50. Chiral Symmetry Symposium Beijing 2013 Localized particle Translational states Deformed nucleus Rotational states Translational Symmetry breaking Rotational Symmetry breaking LAB Introduction SPONTANEOUS SYMMETRY BREAKING