Nuclear Tidal Waves Daniel Almehed Stefan Frauendorf Yongquin Gu Yang Sun.

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Presentation transcript:

Nuclear Tidal Waves Daniel Almehed Stefan Frauendorf Yongquin Gu Yang Sun

Classical Quadrupole Surface Vibration

Tidal wave

Yrast line of 5D-harmonic oscillator E I In the rotating frame: small oscillations around qp. excitations Tidal waves

I Anharmonic oscillator E(5) like

I-1/2 rotor vibratortidal wave

I-1/2 rotor vibrator tidal wave

No good vibrator! N=

Theoretical methods Fix the angular momentum or rotational frequency Find the static shape – use a mean field method Cranking model: semiclassical treatment of angular momentum Angular momentum projection: Projected shell model

Low-spin waves

F. Courminboeuf et al. PRC 63 (00)

Energy minimum (self-consistency) at: QQ model +cranking harmonic

Cranking model Tidal wave AMR B(E2,I->I-2)[(eb)^2] Iexpcalc tidal wave antimagnetic rotor Experiment:M. Piiparinen et al. NPA565 (93) 671 F. Courminboeuf et al. PRC 63 (00) R. Clark et al. private communication

Projected shell model

Monopole Pairing+Quadrupole Pairing+QQ model Zero quasiparticle version: Two quasiparticle version: Diagonalize H in the basis Minimize lowest energy

Projected shell model B(E2,I->I-2)[(eb)^2] Iexpcalc tidal wave antimagnetic rotor Tidal wave AMR

Antimagnetic rotor

Geometrical model for an antimagnetic rotor

A. Simons et al. Phys. Rev. Lett. 91, (2003)

High-spin waves Combination of Angular momentum reorientation Triaxial deformation

yrast D. Cullen et. al

Line distance: 20keV TAC

Line distance: 200 keV

Tidal wave Less favored vibrations Mixed with p-h excitations

s ot i m K=25 i (130 ns) s o t m K= P. Chowdhury et al NPA 484, 136 (1988)

Tidal waves Yrast mode in soft nuclei at low and high spin Angular momentum generated by shape change at nearly constant angular velocity. Shape change: Axial, triaxial quadrupole, orientation, octupole … Rotating mean field gives a reliable microscopic description No new parameters Experimental rotational frequency well defined

Cranking model Tidal wave AMR B(E2,I->I-2)[W.u.] Iexpcalc tidal wave (15) (6) (20)56 antimagnetic rotor 1239 (2) (3)

Projected shell model Tidal wave AMR B(E2,I->I-2)[W.u.] Iexpcalc tidal wave (15) (6) (20)41 antimagnetic rotor 1239 (2) (3) 1625