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As shown in Ref.\cite{Rod09}, the Fermi nuclear matrix element $M^{0\nu}_F$ of neutrinoless double beta ($0\nu\beta\beta$) decay can be reconstructed if one is able to measure the isospin-forbidden single Fermi transition matrix element…

核理论 · 物理学 2011-03-28 Vadim Rodin , Amand Faessler

As shown in Ref. \cite{Rod09}, the Fermi part $M_{F}^{0\nu}$ of the total $0\nu\beta\beta$-decay nuclear matrix element $M^{0\nu}$ can be related to the single Fermi transition matrix element between the isobaric analog state (IAS) of the…

核理论 · 物理学 2011-08-26 Vadim Rodin

The present status of calculations of the nuclear matrix elements for neutrinoless double beta decay is reviewed. A proposal which allows in principle to measure the neutrinoless double beta decay Fermi matrix element is briefly described.

核理论 · 物理学 2009-11-02 Vadim Rodin

The calculated nuclear matrix elements for the neutrinoless double-beta ($0\nu\beta\beta$) decay suffer from several limitations. Predicted matrix-element values depend on the many-body method used to calculate them and, in addition, they…

核理论 · 物理学 2019-01-30 Javier Menéndez

A new generation of neutrinoless double beta decay experiments with improved sensitivity is currently under design and construction. They will probe inverted hierarchy region of the neutrino mass pattern. There is also a revived interest to…

核理论 · 物理学 2015-06-05 Amand Faessler , Vadim Rodin , Fedor Simkovic

The existing calculations of the nuclear matrix elements of the neutrinoless double beta-decay differ by about a factor three. This uncertainty prevents quantative interpretation of the results of experiments searching for this process. We…

高能物理 - 唯象学 · 物理学 2007-05-23 S. M. Bilenky , J. A. Grifols

Within QRPA we achieve partial restoration of the isospin symmetry and hence fulfillment of the requirement that the $2\nu\beta\beta$ Fermi matrix element $M^{2\nu}_F$ vanishes, as it should, unlike in the previous version of the method.…

核理论 · 物理学 2013-04-10 Fedor Šimkovic , Vadim Rodin , Amand Faessler , Petr Vogel

We introduce a method for isospin restoration in the calculation of nuclear matrix elements (NME) for $0\nu\beta\beta$ and $2\nu\beta\beta$ decay within the framework of interacting boson model (IBM-2). With this method, we calculate NME…

核理论 · 物理学 2015-06-30 J. Barea , J. Kotila , F. Iachello

The calculations of nuclear matrix elements of $0\nu\beta\beta$-decay is a challenge for nuclear physics. We are discussing here a model independent method, which could allow to test the calculations. The method is based on the…

高能物理 - 唯象学 · 物理学 2007-05-23 S. M. Bilenky

The neutrinoless double-$\beta$ decay is a hypothetical rare nuclear decay, which can be used for determining the neutrino-mass scale. The scheme to use this decay for determining the neutrino-mass scale is one of few limited methods…

核理论 · 物理学 2019-01-23 J. Terasaki

Searches of neutrinoless double-beta decay require information on the value of the nuclear matrix elements that rule the process to plan and interpret experiments. At present, however, even the matrix elements obtained with the most…

核理论 · 物理学 2018-08-15 Javier Menéndez , Noritaka Shimizu , Kentaro Yako

In this work, a physics process known since quite long ago, double-gamma decay ($\gamma\gamma$), has been revisited from a new perspective: providing valuable insights into neutrinoless double-beta decay ($0\nu\beta\beta$) nuclear matrix…

核理论 · 物理学 2024-08-13 Beatriz Romeo Zaragozano

Neutrinoless Double Beta Decay ($0\nu\beta\beta$) is presently the only known experiment to distinguisch between Dirac neutrinos, different from their antiparticles, and Majorana neutrinos, identical with their antiparticles. In addition…

核理论 · 物理学 2015-05-27 Amand Faessler

The existing calculations of the nuclear matrix elements of the neutrinoless double $\beta$-decay differ by about a factor three. This uncertainty prevents quantitative interpretation of the results of experiments searching for this…

高能物理 - 唯象学 · 物理学 2008-11-26 S. M. Bilenky , J. A. Grifols

Neutrinoless double-beta decay ($0\nu\beta\beta$) is a rare hypothesised process that, if discovered, would establish that the neutrino is Majorana, that is, it is its own antiparticle. Interpretation of experimental results relies on…

高能物理 - 格点 · 物理学 2025-04-29 Anthony V. Grebe

Study of the neutrinoless $\beta\beta$ decay allows us to put a stringent limit on the effective neutrino Majorana mass, a quantity of fundamental importance. To test our ability to evaluate the nuclear matrix elements that govern the decay…

核理论 · 物理学 2007-05-23 Petr Vogel

Prompted by the level of accuracy now being achieved in tests of the unitarity of the CKM matrix, we consider the possible modification of the Fermi matrix element for the $\beta$-decay of a neutron, including possible in-medium and isospin…

核理论 · 物理学 2011-02-16 P. A. M. Guichon , A. W. Thomas , K. Saito

We compute nuclear matrix elements of neutrinoless double-beta decay mediated by light Majorana-neutrino exchange in the A = 6 system. The goal is to benchmark two many-body approaches, the No-Core Shell Model and the Multi-Reference…

核理论 · 物理学 2020-07-08 R. A. M. Basili , J. M. Yao , J. Engel , H. Hergert , M. Lockner , P. Maris , J. P. Vary

As experimental searches for neutrinoless double-beta ($0\nu\beta\beta$) decay are entering a new generation, with hopes to completely probe the inverted mass hierarchy, the need for reliable nuclear matrix elements, which govern the rate…

核理论 · 物理学 2025-05-08 A. Belley , T. Miyagi , S. R. Stroberg , J. D. Holt

We study double gamma ($\gamma\gamma$) decay nuclear matrix elements (NMEs) for a wide range of nuclei from titanium to xenon, and explore their relation to neutrinoless double-beta ($0\nu\beta\beta$) NMEs. To favor the comparison, we focus…

核理论 · 物理学 2022-03-17 B. Romeo , J. Menéndez , C. Peña
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