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arXiv · nucl-th/0310077

Dilute Multi Alpha Cluster States in Nuclei

Taiichi Yamada·Peter Schuck
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Abstract

Dilute multi $α$ cluster condensed states with spherical and axially deformed shapes are studied with the Gross-Pitaevskii equation and Hill-Wheeler equation, where the $α$ cluster is treated as a structureless boson. Applications to self-conjugate $4N$ nuclei show that the dilute $Nα$ states of $^{12}$C to $^{40}$Ca with $J^π=0^+$ appear in the energy region from threshold up to about 20 MeV, and the critical number of $α$ bosons that the dilute $Nα$ system can sustain as a self-bound nucleus is estimated roughly to be $N_{cr}\sim10$. We discuss the characteristics of the dilute $Nα$ states with emphasis on the $N$ dependence of their energies and rms radii.

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Taiichi Yamada, Peter Schuck. 2003-10-29. Dilute Multi Alpha Cluster States in Nuclei. https://doi.org/10.1103/physrevc.69.024309

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