QC476 : Calculation of Energy Spectrum of Even-Even and Even-Odd Light Nuclei Using One-Center and Two-Center Potentials in Cluster Model
Thesis > Central Library of Shahrood University > Physics > PhD > 2019
Authors:
Nafiseh Roshanbakht [Author], Mohammad Reza Shojaee [Supervisor]
Abstarct: In light nuclear systems, deviation from spherical shape is not only in the form of axial deviations but is can also create cluster structures. This cluster structure in light nuclei can be divided into three groups: 1) nuclear molecules, 2) isotopes in vicinity of double magic nuclei and 3) alpha-conjugated nuclei In nuclear molecules, the cluster nature of nuclei can be well described by double center shell model. In this model, each cluster is represented by its own potential well. Here, considering the axial symmetry in such nuclei and introducing double center Gaussian potential, the Schrödinger equation was solved in cylindrical coordination system and energy levels of 8Be and 9Be isotopes were addressed. In nuclei whose number of nucleons was near to the ones with two magic numbers, valance nucleons can serve as a cluster which evolves outside the magic core. To investigate rotational levels, two-particle nuclear models including core and cluster were employed. By selection of proper potential, rotational bands with negative and positive parity for 20Ne and 44 Ti isotopes were also calculated and compared with empirical results. Moreover, the cluster with none zero spin (such as 3He and 3H) which are around the first magic nucleus with double alpha structure, were investigated and rotational spectra of mirror isotopes (7Li and 7Be) were addressed. Finally, nuclei with A=4n and N=Z (known as alpha-conjugated nuclei) were investigated. In these nuclei, internal excitation energy was converted to clusters binding energy giving rise to a structure composed of alpha particles. Therefore, cluster-cluster interaction replaced the nucleon-nucleon interaction and by solving D-dimensional Schrödinger equation, cluster energy and rotational spectra of 8Be, 12C and 16O isotopes were investigated.
Keywords:
#cluster model #double centric potential #nuclear molecule #alpha-conjugated nuclei #core-cluster model #central potential Link
Keeping place: Central Library of Shahrood University
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