Energy spectra of vibron and cluster models in molecular and nuclear systems

• Published in: The European physical journal. A, Hadrons and nuclei Vol. 54; no. 3; pp. 1 - 14
• Main Authors: Jalili Majarshin, A., Sabri, H., Jafarizadeh, M. A.
• Format: Journal Article
• Language: English
• Published: Berlin/Heidelberg Springer Berlin Heidelberg 01.03.2018; Springer Nature B.V
• Subjects: Algebra; Clusters; Energy spectra; Hadrons; Heavy Ions; Lie groups; Nuclear Fusion; Nuclear Physics; Ocean currents; Particle and Nuclear Physics; Physics; Physics and Astronomy; Regular Article - Theoretical Physics; Rotational spectra; Rotational states
• ISSN: 1434-6001; 1434-601X
• DOI: 10.1140/epja/i2018-12463-0

. The relation of the algebraic cluster model, i.e. , of the vibron model and its extension, to the collective structure, is discussed. In the first section of the paper, we study the energy spectra of vibron model, for diatomic molecule then we derive the rotation-vibration spectrum of 2 α , 3 α and 4 α configuration in the low-lying spectrum of 8 Be, 12 C and 16 O nuclei. All vibrational and rotational states with ground and excited A , E and F states appear to have been observed, moreover the transitional descriptions of the vibron model and α -cluster model were considered by using an infinite-dimensional algebraic method based on the affine S U ( 1 , 1 ) ̂ Lie algebra. The calculated energy spectra are compared with experimental data. Applications to the rotation-vibration spectrum for the diatomic molecule and many-body nuclear clusters indicate that there are solvable models and they can be approximated very well using the transitional theory.