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The density distributions of large nuclei are typically modeled with a Woods-Saxon distribution characterized by a radius $R_{0}$ and skin depth $a$. Deformation parameters $\beta$ are then introduced to describe non-spherical nuclei using…

Nuclear Theory · Physics 2023-05-30 Q. Y. Shou , Y. G. Ma , P. Sorensen , A. H. Tang , F. Videbæk , H. Wang

Neutrinoless double-beta ($0\nu\beta\beta$) decay and the standard two-neutrino double-beta ($2\nu\beta\beta$) decay of $^{98}$Mo have been studied. The double-beta decay $Q$-value has been determined as $Q_{\beta\beta}=113.668(68)$ keV…

Nuclear Experiment · Physics 2022-03-30 D. A. Nesterenko , L. Jokiniemi , J. Kotila , A. Kankainen , Z. Ge , T. Eronen , S. Rinta-Antila , J. Suhonen

After briefly reviewing $\beta \beta$ decay as a test of the neutrino mass, I examine the nuclear structure involved in this process. Simple formulas (\`{a} la Pad\'{e}) are designed for the transition amplitudes and the general behavior of…

Nuclear Theory · Physics 2016-08-14 F. Krmpotić

We propose a mechanism for sufficient suppression of dimension-5 operators for proton decay in a supersymmetric SO(10) model. This mechanism is analogue to the double seesaw mechanism in studying neutrino masses. Only an intermediate VEV…

High Energy Physics - Phenomenology · Physics 2015-06-22 Xiaojia Li , Da-Xin Zhang

We investigate the extent to which theories of collective motion can capture the physics that determines the nuclear matrix elements governing neutrinoless double-beta decay. To that end we calculate the matrix elements for a series of…

Nuclear Theory · Physics 2016-02-17 J. Menéndez , N. Hinohara , J. Engel , G. Martínez-Pinedo , T. R. Rodríguez

Neutrinoless double-beta decay searches play a major role in determining the nature of neutrinos, the existence of a lepton violating process, and the effective Majorana neutrino mass. The Majorana Collaboration proposes to assemble an…

Nuclear Experiment · Physics 2019-08-13 V. E. Guiseppe

The analysis of experiments at nuclear reactors where inverse beta decay reaction positron spectrum was measured at different distances from reactor core is presented here. It was found that there appear three enclosed zones of neutrino…

High Energy Physics - Experiment · Physics 2013-04-19 V. V. Sinev

A derivation of the neutrinoless double beta decay rate, specially adapted for the nuclear structure calculations, is presented. It is shown that the Fourier-Bessel expansion of the hadronic currents, jointly with the angular momentum…

High Energy Physics - Phenomenology · Physics 2009-10-30 C. Barbero , F. Krmpotic , D. Tadic

The $^{66}$Ge and $^{68}$Ge nuclei are studied by means of the shell model with the extended $P+QQ$ Hamiltonian, which succeeds in reproducing experimentally observed energy levels, moments of inertia and other properties. The investigation…

Nuclear Theory · Physics 2009-11-10 M. Hasegawa , K. Kaneko , T. Mizusaki

A many body Hamiltonian involving the mean field for a projected spherical single particle basis, the pairing interactions for alike nucleons and the dipole-dipole proton-neutron interactions in the particle-hole ($ph$) and…

Nuclear Theory · Physics 2011-01-28 C. M. Raduta , A. A. Raduta

We investigated effects of neutron-proton ($np$) pairing correlations comprising isoscalar (IS) and isovector (IV) component on Gamow-Teller (GT) transitions of $^{56, 58,62,64}$Ni by taking into account nuclear deformation in a deformed…

Nuclear Theory · Physics 2020-01-08 Eunja Ha , Myung-Ki Cheoun

We calculate Gamow-Teller strength distributions for $\beta \beta$-decay nuclei $^{76}$Ge and $^{82}$Se using the deformed pn-QRPA model. We use a deformed Nilsson basis and consider pairing correlations within the deformed BCS theory.…

Nuclear Theory · Physics 2025-05-13 Jameel-Un Nabi , Mavra Ishfaq

The {\sc Majorana} collaboration is searching for neutrinoless double beta decay using $^{76}$Ge, which has been shown to have a number of advantages in terms of sensitivities and backgrounds. The observation of neutrinoless double-beta…

Two-proton (2$p$) radioactivity is a rare decay mode found in a few proton-unbound nuclei. The $2p$-decay lifetime and properties of emitted protons carry invaluable information on nuclear structure in the presence of low-lying proton…

Nuclear Theory · Physics 2018-05-30 S. M. Wang , W. Nazarewicz

A novel method of deducing the deformation of the N=Z nucleus 76Sr is presented. It is based on the comparison of the experimental Gamow-Teller strength distribution B(GT) from its beta decay with the results of QRPA calculations. This…

We discuss properties of the quadrupole collective excitation of the deformed neutron-rich nucleus $^{38}$Mg within the framework of quasi-particle random phase approximation (QRPA). We first solve the coupled-channels equations to obtain…

Nuclear Theory · Physics 2015-06-26 K. Hagino , Nguyen Van Giai , H. Sagawa

Study of the neutrinoless double beta decay, $0\nu\beta\beta$, includes a variety of problems of nuclear structure theory. They are reviewed here. The problems range from the mechanism of the decay, i.e. exchange of the light Majorana…

Nuclear Theory · Physics 2015-06-11 Petr Vogel

With recent measurements of the two neutrino double beta decay high precision electron spectra, combining with charge exchange or $\beta$-decay experimental data, we give severe constraints over the current nuclear many body calculations.…

Nuclear Theory · Physics 2023-12-27 Dong-Liang Fang

Neutrinoless double-beta decay of nuclei represents one of the most promising methods for uncovering physics beyond the Standard Model. In this context, $^{76}$Ge stands out as a particularly attractive candidate, as it can serve as an…

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