Symmetries along the N§Z line - AGATA Experiment @ Padova

International Workshop on Physics with AGATA 

22-24 March 2004 Orsay 

Symmetries along the N§Z line 

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Possible Signatures of Isospin Symmetry Breaking 

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Energy differences in the f 7/2 shell: MED and TED 

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Excitation energy differences: MED and TED 

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MED and TED in the shell model framework 

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Its contribution is significant in rotational nuclei. CM “sees” to the alignment of nucleons. 

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Monopole Coulomb and the drift in radii 

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ISB component of the nuclear interaction in A=42 

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MED and TED in the full fp shell model calculation 

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The isospin non-conserving nuclear contributions are deduced from the MED and TED 

in the T = 1, A = 42 triplet data. 

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TED along rotational bands in I 7/2 -shell nuclei 

T=1 triplets A=46, 50 in the f 7/2 shell have been recently observed at high spin 

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Mirror Energy Differences in the cross-conjugate A=42 and A=54 I shell nuclei 

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(-MED to keep the particle-hole symmetry) 

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A rigorous treatment, calling upon state-of-the-art CSB potentials, 

is necessary to confirm these phenomenological findings. 


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Extending these investigations to other regions 

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Its contribution to MED becomes significant for configurations with 

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Loosely-bound nuclei: The Thomas-Ehrman shift 

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The effect is large for small- orbits and light nuclei 

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Different E1 strengths: isospin mixing 

due to coupling with the continuum 

for weakly-bound or unbound states 

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Forbidden and Irregular E1 transitions 

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Isospin symmetry and E1 transitions along the N~Z line 

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Possible origin: 

E1 ( T=0) transitions are forbidden in N=Z nuclei 

E1 transitions in mirror nuclei have identical strength 

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Signatures of symmetry breaking: 

forbidden E1’s in N=Z nuclei, 

irregular E1 transitions in mirror nuclei 

isospin breaking of the QXFOHDU LQWHUDFWLRQ 

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- Isospin mixing due to the coupling to the continuum for nuclei close to the proton drip line 

- Isospin mixing of quasi degenerate levels of equal J and different T 

- Isospin mixing with the IVGMR 


Isospin mixing due to the coupling to the IVGMR 

even-even nuclei 

Hartree Fock spherical 

H-F unrestricted 

EWSR + IVGMR 

Isospin impurity of the g.s. due to mixing with the Isovector Giant Monopole Resonance. 

The calculated mixing increases significantly with A and, for a given A, is maximum for N=Z 

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N=Z 

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Forbidden E1 transition in N=Z nuclei 

IS � �� G�� Pure E1 non 

stretched 

The minimum isospin mixing is 

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Irregular E1 transitions in mirror nuclei 

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Lifetime measurements are needed. 

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Conclusions 

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with: good spectroscopy and 

good SM description 

need: good spectroscopy and 

good SM description 


Perspectives with AGATA 

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¾ get a deeper understanding of nuclear INC term 

¾ identify the different Coulomb effects 

¾ identify the origin of isospin mixing 

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¾ N=Z nuclei up to high spin 

¾ MED for positive and negative parity states 

¾ MED for T > 1 

¾ TED measurements 

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¾ higher-order terms in the series expansion of M 1 (kr) 

¾ isospin mixing 

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=0.2 

Detector 

Segments 

Pulse-shape 

analysis and 

tracking 

F. Recchia, E. Farnea

Symmetries along the N§Z line - AGATA Experiment @ Padova

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