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Higher Tamm-Dankoff Approximation for rotational states

Abstract : Within the Higher Tamm Danco® Approximation (HTDA), single particle states associated with a mean ¯eld of the Hartree-Fock type are used into shell model like calculations. Recently, this approach has been used for ground state calculations in magic nuclei and in the N = Z mass region, as well as to study properties of some important isomeric states. The Cranking version of this formalism (Cr. HTDA) represents an attempt to reproduce rotational bands up to high spins in heavy nuclei. In this context, through the use of the mean ¯eld part of HTDA, many deformation and rotation e®ects (as intruder orbitals and e®ects of the time reversal symmetry breaking) are included in the con¯guration space. This work discusses the Cr. HTDA results obtained for two Pb isotopes (in order to test the approach), when using up to 2 particles - 2 holes excitations and provides tests for enlargement of the con¯guration space by 4 particle - 4 holes excitations. It is focused on the con¯guration space properties, improvement of truncation schemes, computational problems and saturation behavior of some physical quantities.
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Submitted on : Friday, March 19, 2010 - 3:52:13 PM
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H. Laftchiev, J. Libert, P. Quentin, H. Thuy Long. Higher Tamm-Dankoff Approximation for rotational states. XVIII International School on Nuclear Physics, Neutron Physics and Applications, Sep 2009, Varna, Bulgaria. pp.012005, ⟨10.1088/1742-6596/205/1/012005⟩. ⟨in2p3-00465459⟩

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