Abstract
A geometrical mapping of the semimicroscopic algebraic cluster model (SACM) is given. The geometrical variables are the relative radius vector, the quadrupole deformation parameters β and γ and the orientation of the deformed nucleus in the molecular system. The position of the minimum of the nuclear molecular potential is determined by the minimal number of π-bosons, describing the relative motion. This minimal number is determined by the implementation of the Pauli- principle. Applications to simple systems (16 O + α, 12 C + α and 28 Si + 28 Si) are presented.
work supported by CONACyT, no. E120-550/95
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Hess, P.O. (1997). Geometrical Relation of the SACM. In: Apagyi, B., Endrédi, G., Lévay, P. (eds) Inverse and Algebraic Quantum Scattering Theory. Lecture Notes in Physics, vol 488. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-14145-8_23
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DOI: https://doi.org/10.1007/978-3-662-14145-8_23
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