Abstract
A geometrical mapping of the semimicroscopic algebraic cluster model is given. The geometrical variables are the relative radius vector and the quadrupole deformation parameters. The last ones correspond to absolute \ensuremath{\beta} and \ensuremath{\gamma} values, while the orientation of the deformed nucleus in the laboratory can be changed. We show that the position of the minimum of the nuclear molecular potential is determined by the minimal number of \ensuremath{\pi} bosons describing the relative motion. The minimal number of \ensuremath{\pi} bosons is determined by the implementation of the Pauli principle. Applications to simple systems ${(}^{16}$O+\ensuremath{\alpha} and $^{12}\mathrm{C}$+\ensuremath{\alpha}) are presented. \textcopyright{} 1996 The American Physical Society.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
