Odd-Mass Nuclei in the Cluster Shell Model€¦ · Adrian Horacio Santana Valdés M.Sc. Thesis,...
Transcript of Odd-Mass Nuclei in the Cluster Shell Model€¦ · Adrian Horacio Santana Valdés M.Sc. Thesis,...
Roelof Bijker, ICN-UNAM 1
Odd-Mass Nuclei in the Cluster Shell Model
• Introduction
• -cluster nuclei: 12C y 16O
• Cluster Shell Model
• Odd-cluster nuclei: 13C
• Summary and conclusions
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Nuclear Shapes
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Marín-Lámbarri et al, PRL 113, 012502 (2014)
Itoh et al, PRC 84, 054308 (2011)Freer et al, PRC 86, 034320 (2012)Zimmerman et al, PRL 110, 152502 (2013)
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ElectricTransitions
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Odd Cluster Nuclei
• What are the signatures of -clustering in odd-mass nuclei?
• First step: Cluster Shell Model (CSM)
• Splitting of sp levels in cluster potentials (analogous to Nilsson model)
• Second step: Algebraic Cluster-Fermion Model (ACFM)
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Cluster Shell Model
Della Rocca, Bijker & Iachello NPA 966, 158 (2017)
Adrian Horacio Santana ValdésM.Sc. Thesis, UNAM (2018)
Cluster density
Cluster potential
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Triangular Symmetry
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1s1/2
1p1/2
1p3/2
2s1/2, 1d5/2
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Rotations
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Rotational Bands
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Vibrations
gs H bendE1/2
(-)
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gs H bend E1/2
(+) gs, H bending
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Rotational Bands
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Blue: gsb E1/2(-)
Black: gsb E1/2(+)
Red: Hoyle E1/2(-)
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Bijker & Iachello, PRL 122, 162501 (2019)
Electric Transitions
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Form Factors
Bijker & Iachello, PRL 122, 162501 (2019)
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Summary and Conclusions• Cluster Shell Model: 13C• Discrete and continuous
symmetries• Rotational bands: fingerprints
of a triangular configuration of three alpha particles plus a neutron
• Strong electric transitions• Form factors (in progress)
• Application of CSM: 9Be, 9B
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Della Rocca & Iachello, NPA 973, 1 (2018)