Double beta decay to the first <mml:math altimg="si1.gif" overflow="scroll" xmlns:xocs="http://www.elsevier.com/xml/xocs/dtd" xmlns:xs="http://www.w3.org/2001/XMLSchema" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xmlns="http://www.elsevier.com/xml/ja/dtd" xmlns:ja="http://www.elsevier.com/xml/ja/dtd" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:tb="http://www.elsevier.com/xml/common/table/dtd" xmlns:sb="http://www.elsevier.com/xml/common/struct-bib/dtd" xmlns:ce="http://www.elsevier.com/xml/common/dtd" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:cals="http://www.elsevier.com/xml/common/cals/dtd"><mml:msup><mml:mn>2</mml:mn><mml:mo>+</mml:mo></mml:msup></mml:math> state within a boson expansion formalism with a projected spherical single particle basis

Single-particle level energies form a significant input in nuclear physics calculations where single-particle degrees of freedom are taken into account, including microscopic interacting boson model investigations. The single-particle energies may be treated as input parameters that are fitted to reach an optimal fit to the data. Alternatively, they can be calculated using a mean field potential, or they can be extracted from available experimental data, as is done in the current study. The role of single-particle level energies in the microscopic interacting boson model calculations is discussed with special emphasis on recent double beta decay calculations.

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DEFORMED SHELL MODEL RESULTS FOR TWO-NEUTRINO POSITRON DOUBLE BETA DECAY OF 84Sr

International Journal of Modern Physics E ◽

10.1142/s021830131101957x ◽

2011 ◽

Vol 20 (08) ◽

pp. 1723-1733 ◽

Cited By ~ 5

Author(s):

R. SAHU ◽

V. K. B. KOTA

Keyword(s):

Shell Model ◽

Beta Decay ◽

Single Particle ◽

Double Beta Decay ◽

Orbital Energy ◽

Decay Modes ◽

Fock States ◽

Hartree Fock ◽

Model Based ◽

Reasonable Description

Half-lives [Formula: see text] for two-neutrino positron double beta decay modes β+ EC/ECEC are calculated for 84 Sr , a nucleus of current experimental interest, within the framework of the deformed shell model based on Hartree–Fock states employing a modified Kuo interaction in (2p3/2, 1f5/2, 2p1/2, 1g9/2) space. For a reasonable description of the spectra of 84 Sr and 84 Kr and to generate allowed GT strengths, the single particle energies of the proton and neutron 1g9/2 orbitals, relative to the 2p3/2 orbital energy, are chosen to be 3.5 MeV and 1.5 MeV for both 84 Sr and 84 Rb and 1.5 MeV and 1.5 MeV for 84 Kr . With this, the calculated half-lives for the β+ EC and ECEC modes are ~1026 yr and ~4×1024 yr respectively.

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