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Alpha Cluster Condensation in<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:mmultiscripts><mml:mrow><mml:mi>C</mml:mi></mml:mrow><mml:mprescripts/><mml:mrow/><mml:mrow><mml:mn>12</mml:mn></mml:mrow><mml:mrow/><mml:mrow/></mml:mmultiscripts></mml:mrow></mml:math>and<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:mmultiscripts><mml:mrow><mml:mi>O</mml:mi></mml:mrow><mml:mprescripts/><mml:mrow/><mml:mrow><mml:mn>16</mml:mn></mml:mrow><mml:mrow/><mml:mrow/></mml:mmultiscripts></mml:mrow></mml:math>

A. TohsakiDepartment of Fine Materials Engineering, Shinshu University, Ueda 386-8567, JapanH. HoriuchiDepartment of Physics, Kyoto University, Kyoto 606-8502, JapanPeter SchuckInstitut de Physique Nucléaire, F-91406 Orsay Cedex, FranceG. RöpkeFB Physik, Universität Rostock, D-18051 Rostock, Germany
2001lv
ABI

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A new $\ensuremath{\alpha}$-cluster wave function is proposed which is of the $\ensuremath{\alpha}$-particle condensate type. Applications to ${}^{12}\mathrm{C}$ and ${}^{16}\mathrm{O}$ show that states of low density close to the 3 and 4 $\ensuremath{\alpha}$-particle thresholds in both nuclei are possibly of this kind. It is conjectured that all self-conjugate $4n$ nuclei may show similar features.

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