New Theoretical Results of 2
                    <i>νββ</i>
                    Decay with the Operator Expansion Method

Wu, X.R.; Hirsch, Martin; Staudt, A.; Klapdor‐Kleingrothaus, H. V.; Cheng-rui, Ching; Tso-hsiu, Ho

doi:10.1088/0253-6102/20/4/453

Cited by 3 publications

(17 citation statements)

References 8 publications

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“…For comparison we present also the available experimental data [22,31,32,33] as well as the results of Ref. [28] for T 1/2 . ratio of the two dipole interaction ( particle-hole and particle-particle) strengths, denoted by g pp is given.…”

Section: Numerical Resultsmentioning

confidence: 99%

Two neutrino double-βdecay in deformed nuclei with an angular momentum projected basis

et al. 2004

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Four nuclei which are proved to be 2νββ 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 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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Section: Numerical Resultsmentioning

confidence: 99%

Two neutrino double-βdecay in deformed nuclei with an angular momentum projected basis

et al. 2004

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“…1-4 In Table VI, we see that most of the β − strengths are due to the transitions relating to the proton and neutron g states. In contrast, in 48 Ca, 96 Zr, and 116 Cd, the single-particle decays involving f states carry most of the transition strength. Also the GT resonance peak in 130 Te is determined mainly by the transition in the 2d state.…”

Section: M Nljmentioning

confidence: 92%

“…[51] and [50]. Thus, the GT resonance has been populated in the reaction 48 Ca(p, n) 48 Sc. This resonance is spread over an energy interval between 4.5 and 14. presented for B (GT ) − in Fig.…”

Section: M Nljmentioning

confidence: 98%

“…We chose g A = 1.0 in order to take account of the effect of distant states responsible for the "missing strength" in the giant GT resonance [1]. For 48 Ca, we considered first χ and g pp (second row of Table IV) as given by Eq. (3.2).…”

Section: M Nljmentioning

confidence: 99%

“…As shown therein, the agreement between the calculated strength and the corresponding data is reasonably good. The only known data for the total β + GT strength is for 48 Ti:…”

Section: M Nljmentioning

confidence: 99%

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Description of the two neutrino double β decay in deformed nuclei with projected spherical single particle basis

Râduţâ

Raduta²,

Escuderos

2005

Phys. Rev. C

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Using an angular-momentum-projected single-particle basis, a proton-neutron quasiparticle random-phase approximation approach is used to study the 2νββ properties of 10 isotopes, exhibiting various quadrupole deformations. The parent and daughter nuclei exhibit different quadrupole deformations. Since the projected basis enables a unified description of deformed and spherical nuclei, situations where the nuclei involved in the double β decay process are both spherical, both deformed, or one spherical and the other deformed can be treated through a single formalism. Dependence of single β − and β + strength distribution on atomic mass number and nuclear deformation is analyzed. For the double β decay process, the Gamow-Teller transition amplitudes and half-lives are calculated. Results are compared with experimental data as well as with predictions of other theoretical approaches. The agreement between the present results and experimental data is fairly good.

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New theoretical results for2νββdecay within a fully renormalized proton-neutron random-phase approximation approach with the gauge symmetry restored

2011

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New Theoretical Results of 2 νββ Decay with the Operator Expansion Method

Abstract: The half-lives for 2νββ decay for all the potential ββ-emitters with A≥70 are calculated by the operator expansion method. Compared with the directly measured half-lives of 76Ge, 82Se, 100Mo and 238U the theoretical values are in excellent agreement with experimental ones.

Cited by 3 publications

References 8 publications

Two neutrino double-βdecay in deformed nuclei with an angular momentum projected basis

Two neutrino double-βdecay in deformed nuclei with an angular momentum projected basis

Description of the two neutrino double β decay in deformed nuclei with projected spherical single particle basis

New theoretical results for2νββdecay within a fully renormalized proton-neutron random-phase approximation approach with the gauge symmetry restored

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