dorsal/arxiv
View SchemaTwo neutrino positron double beta decay of $^{106}$Cd for $0^+ \to 0^+$ transition
| Authors | A. Shukla, P. K. Raina, R. Chandra, P. K. Rath, J. G. Hirsch |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/0405066 |
| URL | https://arxiv.org/abs/nucl-th/0405066 |
| DOI | 10.1140/epja/i2004-10084-x |
| Journal | Eur.Phys.J. A23 (2005) 235-242 |
Abstract
The two neutrino positron double beta decay of $^{106}$Cd for 0$^{+} \to $ 0$^{+}$ transition has been studied in the Hartree-Fock-Bogoliubov model in conjunction with the summation method. In the first step, the reliability of the intrinsic wave functions of $^{106}$Cd and $^{106}$Pd nuclei has been tested by comparing the theoretically calculated results for yrast spectra, reduced $B(E2$:$0^{+}\to 2^{+})$ transition probabilities, quadrupole moments $Q(2^{+})$ and gyromagnetic factors $g(2^{+})$ with the available experimental data. In the second step, the nuclear transition matrix element $M_{2\nu}$ and the half-life $T_{1/2}^{2\nu}$ for 0$^{+}\to$ 0$^{+}$ transition have been calculated with these wave functions. Moreover, we have studied the effect of deformation on nuclear transition matrix element M$_{2\nu}.$
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"abstract": "The two neutrino positron double beta decay of $^{106}$Cd for 0$^{+} \\to $\n0$^{+}$ transition has been studied in the Hartree-Fock-Bogoliubov model in\nconjunction with the summation method. In the first step, the reliability of\nthe intrinsic wave functions of $^{106}$Cd and $^{106}$Pd nuclei has been\ntested by comparing the theoretically calculated results for yrast spectra,\nreduced $B(E2$:$0^{+}\\to 2^{+})$ transition probabilities, quadrupole moments\n$Q(2^{+})$ and gyromagnetic factors $g(2^{+})$ with the available experimental\ndata. In the second step, the nuclear transition matrix element $M_{2\\nu}$ and\nthe half-life $T_{1/2}^{2\\nu}$ for 0$^{+}\\to$ 0$^{+}$ transition have been\ncalculated with these wave functions. Moreover, we have studied the effect of\ndeformation on nuclear transition matrix element M$_{2\\nu}.$",
"arxiv_id": "nucl-th/0405066",
"authors": [
"A. Shukla",
"P. K. Raina",
"R. Chandra",
"P. K. Rath",
"J. G. Hirsch"
],
"categories": [
"nucl-th"
],
"doi": "10.1140/epja/i2004-10084-x",
"journal_ref": "Eur.Phys.J. A23 (2005) 235-242",
"title": "Two neutrino positron double beta decay of $^{106}$Cd for $0^+ \\to 0^+$ transition",
"url": "https://arxiv.org/abs/nucl-th/0405066"
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