dorsal/arxiv
View SchemaVariational Calculations of the $^{12}C$ Nucleus Structure in a 3$\alpha$ Model Using a Deep Potential with Forbidden States
| Authors | E. M. Tursunov |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/0501057 |
| URL | https://arxiv.org/abs/nucl-th/0501057 |
| DOI | 10.1088/0954-3899/27/7/301 |
| Journal | J.Phys.G27:1381-1389,2001 |
Abstract
The energy spectrum of the $^{12}C$ nucleus with $(J^{\pi}, T)=(0^+,0)$ and $(2^+,0)$ is investigated in the framework of the multicluster dynamical model by using a deep $\alpha \alpha$-potential with forbidden states in the S and D waves. A very high sensitivity of the compact ground and first excited $2^+_1$ states energy levels to the description of the two-body forbidden states wave functions has been estabilished. It is shown also that the chosen method of orthogonalizing pseudopotentials yields convergent results for the energies of the excited $(0^+_2,0)$ and $(0^+_3,0)$ states of the $^{12}C$ nucleus with a well developed cluster like structure.
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"abstract": "The energy spectrum of the $^{12}C$ nucleus with $(J^{\\pi}, T)=(0^+,0)$ and\n$(2^+,0)$ is investigated in the framework of the multicluster dynamical model\nby using a deep $\\alpha \\alpha$-potential with forbidden states in the S and D\nwaves. A very high sensitivity of the compact ground and first excited $2^+_1$\nstates energy levels to the description of the two-body forbidden states wave\nfunctions has been estabilished. It is shown also that the chosen method of\northogonalizing pseudopotentials yields convergent results for the energies of\nthe excited $(0^+_2,0)$ and $(0^+_3,0)$ states of the $^{12}C$ nucleus with a\nwell developed cluster like structure.",
"arxiv_id": "nucl-th/0501057",
"authors": [
"E. M. Tursunov"
],
"categories": [
"nucl-th"
],
"doi": "10.1088/0954-3899/27/7/301",
"journal_ref": "J.Phys.G27:1381-1389,2001",
"title": "Variational Calculations of the $^{12}C$ Nucleus Structure in a 3$\\alpha$ Model Using a Deep Potential with Forbidden States",
"url": "https://arxiv.org/abs/nucl-th/0501057"
},
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