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

INPC 2019

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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)