Approximate projection method for the construction of multi- α -cluster spaces

نویسندگان

چکیده

An approximate but straight forward projection method to molecular many alpha-particle states is proposed and the overlap shell model space determined. The resulting in accordance with model, still contains which are not completely symmetric under permutations of alpha-particles, one reason call construction semi-microscopic. A new contribution 6- 7-$\alpha$-particle spaces. errors propagate toward larger number alpha-particles excitations. In order show effectiveness proposed, so obtained spaces applied, within an algebraic cluster $^{20}$Ne, $^{24}$Mg $^{28}$Si, each treated as a many-alpha-particle system. Former results on $^{12}$C $^{16}$O resumed.

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ژورنال

عنوان ژورنال: Physical Review C

سال: 2021

ISSN: ['2470-0002', '2469-9985', '2469-9993']

DOI: https://doi.org/10.1103/physrevc.104.044307