# Cluster-liquid transition in finite, saturated fermionic systems

Abstract : The role of saturation for cluster formation in finite systems such as atomic nuclei is analyzed by considering three length-scale ratios, and performing deformation-constrained self-consistent mean-field calculations. The effect of clusterisation in deformed light systems is related to the saturation property of the inter-nucleon interaction. The formation of clusters at low nucleon density is illustrated by expanding the radius of $^{16}$O. A phase diagram shows that the formation of clusters can be interpreted as a hybrid state between the crystal and the liquid phases. In the hybrid cluster phase the confining potential attenuates the delocalization generated by the effective nuclear interaction.
Document type :
Journal articles

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Submitted on : Thursday, March 6, 2014 - 10:59:07 AM
Last modification on : Wednesday, September 16, 2020 - 4:09:25 PM

### Citation

J.-P. Ebran, E. Khan, T. Nikšić, D. Vretenar. Cluster-liquid transition in finite, saturated fermionic systems. Physical Review C, American Physical Society, 2014, 89 (3), pp.031303(R) ⟨10.1103/PhysRevC.89.031303⟩. ⟨in2p3-00956289⟩

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