dorsal/arxiv
View SchemaNew results for the two neutrino double beta decay in deformed nuclei with angular momentum projected basis
| Authors | A. A. Raduta, A. Escuderos, A. Faessler, E. Moya de Guerra, P. Sarriguren |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/0401028 |
| URL | https://arxiv.org/abs/nucl-th/0401028 |
| DOI | 10.1103/PhysRevC.69.064321 |
| Journal | Phys.Rev. C69 (2004) 064321 |
Abstract
Four nuclei which are proved to be $2\nu\beta\beta$ emitters ($^{76}$Ge, $^{82}$Se, $^{150}$Nd, $^{238}$U), and four suspected, due to the corresponding Q-values, to have this property ($^{148}$Nd, $^{154}$Sm, $^{160}$Gd, $^{232}$Th), were treated within a proton-neutron quasiparticle random phase approximation (pnQRPA) with a projected spherical single particle basis. The advantage of the present procedure over the ones using a deformed Woods Saxon or Nilsson single particle basis is that the actual pnQRPA states have a definite angular momentum while all the others provide states having only K as a good quantum number. The model Hamiltonian involves a mean field term yielding the projected single particle states, a pairing interaction for alike nucleons and a dipole-dipole proton-neutron interaction in both the particle-hole (ph) and particle-particle (pp) channels. The effect of nuclear deformation on the single beta strength distribution as well as on the double beta Gamow-Teller transition amplitude (M$_{{\rm GT}}$) is analyzed. The results are compared with the existent data and with the results from a different approach, in terms of the process half life T$_{1/2}$. The case of different deformations for mother and daughter nuclei is also presented.
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"abstract": "Four nuclei which are proved to be $2\\nu\\beta\\beta$ emitters ($^{76}$Ge,\n$^{82}$Se, $^{150}$Nd, $^{238}$U), and four suspected, due to the corresponding\nQ-values, to have this property ($^{148}$Nd, $^{154}$Sm, $^{160}$Gd,\n$^{232}$Th), were treated within a proton-neutron quasiparticle random phase\napproximation (pnQRPA) with a projected spherical single particle basis. The\nadvantage of the present procedure over the ones using a deformed Woods Saxon\nor Nilsson single particle basis is that the actual pnQRPA states have a\ndefinite angular momentum while all the others provide states having only K as\na good quantum number. The model Hamiltonian involves a mean field term\nyielding the projected single particle states, a pairing interaction for alike\nnucleons and a dipole-dipole proton-neutron interaction in both the\nparticle-hole (ph) and particle-particle (pp) channels. The effect of nuclear\ndeformation on the single beta strength distribution as well as on the double\nbeta Gamow-Teller transition amplitude (M$_{{\\rm GT}}$) is analyzed. The\nresults are compared with the existent data and with the results from a\ndifferent approach, in terms of the process half life T$_{1/2}$. The case of\ndifferent deformations for mother and daughter nuclei is also presented.",
"arxiv_id": "nucl-th/0401028",
"authors": [
"A. A. Raduta",
"A. Escuderos",
"A. Faessler",
"E. Moya de Guerra",
"P. Sarriguren"
],
"categories": [
"nucl-th"
],
"doi": "10.1103/PhysRevC.69.064321",
"journal_ref": "Phys.Rev. C69 (2004) 064321",
"title": "New results for the two neutrino double beta decay in deformed nuclei with angular momentum projected basis",
"url": "https://arxiv.org/abs/nucl-th/0401028"
},
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