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The two neutrino double beta $(\beta ^{-}\beta ^{-})_{2\nu}$ decay of $ ^{94,96}$Zr, $^{98,100}$Mo, $^{104}$Ru, $^{110}$Pd, $^{128,130}$Te and $^{150}$Nd nuclei for the $0^{+}\to 0^{+}$ transition is studied in the PHFB model in conjunction…

Nuclear Theory · Physics 2008-06-06 R. Chandra , P. K. Rath , P. K. Raina , J. G. Hirsch

Within the PHFB approach, the $0^{+}\rightarrow 2^{+}$ transition of two neutrino double-$\beta $ decay of $^{94,96}$Zr, $^{100}$Mo, $^{104}$Ru, $^{110}$Pd, $^{128,130}$Te and $^{150}$Nd isotopes is studied employing wave functions…

Nuclear Theory · Physics 2017-10-03 Yash Kaur Singh , R. Chandra , P. K. Raina , P. K. Rath

The nuclear transition matrix elements $M^{(0\nu)}$ for the neutrinoless double beta decay of $^{94,96}$Zr, $^{98,100}$Mo, $^{104}$Ru, $^{110}$Pd, $^{128,130}$Te and $^{150}$Nd isotopes in the case of $0^{+}\rightarrow 0^{+}$ transition are…

Nuclear Theory · Physics 2015-05-27 P. K. Rath , R. Chandra , K. Chaturvedi , P. K. Raina , J. G. Hirsch

The two neutrino double beta decay of $^{124,126}$Xe,$^{128,130}$Te, $ ^{130,132}$Ba and $^{150}$Nd isotopes is studied in the Projected Hartree-Fock-Bogoliubov (PHFB) model. Theoretical 2$\nu $ $\beta^{-}\beta ^{-}$ half-lives of…

Nuclear Theory · Physics 2008-11-26 S. Singh , R. Chandra , P. K. Rath , P. K. Raina , J. G. Hirsch

The $(\beta ^{-}\beta ^{-})_{0\nu}$ decay of $^{94,96}$Zr, $^{98,100}$Mo, $^{104}$Ru, $^{110}$Pd, $^{128,130}$Te and $^{150}$Nd isotopes for the $0^{+}\to 0^{+}$ transition is studied in the Projected Hartree-Fock-Bogoliubov framework. In…

Nuclear Theory · Physics 2009-11-13 K. Chaturvedi , R. Chandra , P. K. Rath , P. K. Raina , J. G. Hirsch

The two-neutrino positron double-$\beta $ decay modes of $^{156}$Dy isotope are studied in the Projected Hartree-Fock-Bogoliubov framework for the $0^{+}\to 0^{+}$ transition. Theoretically calculated half-lives of electron-positron…

Nuclear Theory · Physics 2014-11-20 P. K. Rath , R. Chandra , S. Singh , P. K. Raina , J. G. Hirsch

We explore the influence of the deformation on the nuclear matrix elements of the neutrinoless double beta decay (NME), concluding that the difference in deformation -or more generally in the amount of quadrupole correlations- between…

Nuclear Theory · Physics 2011-02-18 J. Menendez , A. Poves , E. Caurier , F. Nowacki

In this talk I will review the "state of the art" of the calculations of the nuclear matrix elements (NME) of the neutrinoless double beta decays for the nuclei 48Ca, 76Ge, 82Se, 124Sn, 128Te, 130Te and 136Xe in the framework of the…

Nuclear Theory · Physics 2008-09-15 J. Menendez , A. Poves , E. Caurier , F. Nowacki

Employing four different parametrization of the pairing plus multipolar type of effective two-body interaction and three different parametrizations of Jastrow-type of short range correlations, the uncertainties in the nuclear transition…

Nuclear Theory · Physics 2015-05-28 P. K. Rath , R. Chandra , P. K. Raina , K. Chaturvedi , J. G. Hirsch

In the PHFB model, uncertainties in the nuclear transition matrix elements for the neutrinoless double-$\beta $ decay of $\ ^{94,96}$Zr, $^{98,100}$Mo, $^{104}$Ru, $^{110}$Pd, $^{128,130}$Te and $^{150}$Nd isotopes within mechanisms…

Nuclear Theory · Physics 2015-06-16 P. K. Rath , R. Chandra , K. Chaturvedi , P. Lohani , P. K. Raina , J. G. Hirsch

The two neutrino double beta decay of $ ^{94,96}$Zr$,^{98,100}$Mo$,^{104}$% Ru and $ ^{110}$Pd nuclei for $0^{+}\to 0^{+}$ transition is studied in the PHFB model in conjunction with the summation method. In the first step, the reliability…

Nuclear Theory · Physics 2009-11-10 R. Chandra , J. Singh , P. K. Rath , P. K. Raina , J. G. Hirsch

The pairing properties of the neutrinoless double beta decay $(0\nu2\beta)$ candidate $^{100}$Mo have been studied, along with its daughter $^{100}$Ru, to provide input for nuclear matrix element calculations relevant to the decay. The…

Uncertainties in the nuclear transition matrix elements $M^{(0\nu)}$ and $M^{(0N)}$ of the double-positron emission $(\beta ^{+}\beta ^{+})_{0\nu}$ and electron-positron conversion $(\varepsilon \beta ^{+})_{0\nu}$ modes due to the exchange…

Nuclear Theory · Physics 2015-06-11 P. K. Rath , R. Chandra , K. Chaturvedi , P. Lohani , P. K. Raina , J. G. Hirsch

The nuclear matrix elements of neutrinoless double-$\beta$ decay for nuclei $^{76}$Ge, $^{82}$Se, $^{100}$Mo, $^{130}$Te, and $^{150}$Nd are studied within the triaxial projected shell model, which incorporates simultaneously the triaxial…

Nuclear Theory · Physics 2021-08-04 Y. K. Wang , P. W. Zhao , J. Meng

Employing the PHFB model, nuclear transition matrix elements $M^{\left( K\right) }$ for the neutrinoless double-$\beta^{-} $ decay of $\ ^{76}$Ge and $^{82}$Se isotopes are calculated within mechanisms involving light as well as heavy…

Nuclear Theory · Physics 2017-07-10 P. K. Rath , R. Chandra , A. Kumar , P. K. Raina , B. M. Dixit

We present an ab initio study of the correlation between nuclear matrix elements of neutrinoless double-beta ($0\nu\beta\beta$) decay and nucleon-nucleon scattering phase shifts in the $^1S_0$ channel. Starting from thirty-four…

Nuclear Theory · Physics 2024-08-06 A. Belley , J. Pitcher , T. Miyagi , S. R. Stroberg , J. D. Holt

We examine the effect of nuclear deformation on the calculated $\beta$-decay half-lives of 55 neutron-rich nuclei. The deformation values were computed using DD-PC1 and DD-ME2 interactions in the Relativistic Hartree-Bogoliubov model. Yet…

Nuclear Theory · Physics 2024-07-29 Jameel-Un Nabi , Tuncay Bayram , Wajeeha Khalid , Arslan Mehmood , Alper Köseoğlu

Background: The discovery of neutrinoless double-beta ($0\nu\beta\beta$) decay would demonstrate the nature of neutrinos, have profound implications for our understanding of matter-antimatter mystery, and solve the mass hierarchy problem of…

Nuclear Theory · Physics 2017-02-09 L. S. Song , J. M. Yao , P. Ring , J. Meng

Employing the projected-Hartree-Fock-Bogoliubov (PHFB) model in conjunction with four different parametrizations of pairing plus multipolar effective two body interaction and three different parametrizations of Jastrow short range…

Nuclear Theory · Physics 2019-01-08 Yash Kaur Singh , R. Chandra , K. Chaturvedi , Tripti Avasthi , P. K. Raina , P. K. Rath

We study the effect of deformation on the two-neutrino double beta decay for ground state to ground state transitions in all the nuclei whose half-lives have been measured. Our theoretical framework is a deformed QRPA based in Woods-Saxon…

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