SU(3) Model Description of Be Isotopes
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Sociedade Brasileira de Física
2004
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| _version_ | 1876462969385123840 |
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| author | Eduardo de Almeida |
| author_facet | Eduardo de Almeida |
| contents | SU(3) Model Description of Be Isotopes Eduardo de Almeida S. Shelly Sharma Física, Astronomía y Matemáticas Experimental data on light nuclei close to dripline suggests that as the nucleon number asymmetry increases, theshell structure from stability line is not preserved. In contrast with spherical shell model, Elliotts SU(3) model,uses a deformed multi-nucleon basis to describe nuclear states. The SU(3) symmetry is a strong feature of 1pshell nuclei, where symmetry breaking spin-orbit force is rather weak. We have calculated the binding energiesand low-lying energy spectra of Be isotopes (A=6 to A=14), within the framework of Elliotts SU(3) model, withspecial emphasis on effects due to the presence of intruder orbit 1S1=2 in the region. The model space includesSU(3) basis states that maximize the quadrupole-quadrupole interaction (¡ÂQ:Q). An extended model spaceincludes, in addition, a set of 2p-2h excitations, with excited nucleons occupying lowest energy SU(3) states inharmonic oscillator shell N=2. Group theoretical methods have been used to classify the states and calculate thenuclear interaction matrix elements. Good angular momentum states are projected out from intrinsic deformedSU(3) states by using standard angular momentum projection techniques. The interaction used contains themonopole-monopole, quadrupole-quadrupole and isospin dependent terms. Interaction parameters are fixedso as to reproduce the binding of 4 nucleons in N=1 orbit for the N=Z isotope-8Be in ground state and firstexcited 2+ state, along with the known systematics of single neutron separation energies for Be isotopes. Thecalculated energy espectra are compared with available experimental data. The calculated excitation energiesof intruder states in 8Be and 10Be, are discussed in the light of available experimental evidence and theoreticalresults from shell model as well as deformed oscillator model calculations of Fayache et al... 2004 artículo científico 0103-9733 https://www.redalyc.org/articulo.oa?id=46434568 en http://www.redalyc.org/revista.oa?id=464 Brazilian Journal of Physics application/pdf Sociedade Brasileira de Física Brazilian Journal of Physics (Brasil) Num.3A Vol.34 |
| format | Artículo científico |
| id | redalyc_46434568 |
| institution | Redalyc |
| language | en |
| publishDate | 2004 |
| publisher | Sociedade Brasileira de Física |
| spellingShingle | SU(3) Model Description of Be Isotopes Eduardo de Almeida Física, Astronomía y Matemáticas SU(3) Model Description of Be Isotopes Eduardo de Almeida S. Shelly Sharma Física, Astronomía y Matemáticas Experimental data on light nuclei close to dripline suggests that as the nucleon number asymmetry increases, theshell structure from stability line is not preserved. In contrast with spherical shell model, Elliotts SU(3) model,uses a deformed multi-nucleon basis to describe nuclear states. The SU(3) symmetry is a strong feature of 1pshell nuclei, where symmetry breaking spin-orbit force is rather weak. We have calculated the binding energiesand low-lying energy spectra of Be isotopes (A=6 to A=14), within the framework of Elliotts SU(3) model, withspecial emphasis on effects due to the presence of intruder orbit 1S1=2 in the region. The model space includesSU(3) basis states that maximize the quadrupole-quadrupole interaction (¡ÂQ:Q). An extended model spaceincludes, in addition, a set of 2p-2h excitations, with excited nucleons occupying lowest energy SU(3) states inharmonic oscillator shell N=2. Group theoretical methods have been used to classify the states and calculate thenuclear interaction matrix elements. Good angular momentum states are projected out from intrinsic deformedSU(3) states by using standard angular momentum projection techniques. The interaction used contains themonopole-monopole, quadrupole-quadrupole and isospin dependent terms. Interaction parameters are fixedso as to reproduce the binding of 4 nucleons in N=1 orbit for the N=Z isotope-8Be in ground state and firstexcited 2+ state, along with the known systematics of single neutron separation energies for Be isotopes. Thecalculated energy espectra are compared with available experimental data. The calculated excitation energiesof intruder states in 8Be and 10Be, are discussed in the light of available experimental evidence and theoreticalresults from shell model as well as deformed oscillator model calculations of Fayache et al... 2004 artículo científico 0103-9733 https://www.redalyc.org/articulo.oa?id=46434568 en http://www.redalyc.org/revista.oa?id=464 Brazilian Journal of Physics application/pdf Sociedade Brasileira de Física Brazilian Journal of Physics (Brasil) Num.3A Vol.34 |
| title | SU(3) Model Description of Be Isotopes |
| topic | Física, Astronomía y Matemáticas |
| url | https://www.redalyc.org/articulo.oa?id=46434568 |