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Nuclear matrix elements (NMEs) for two-neutrino double-beta decay ($2\nu\beta\beta$) are studied in the framework of relativistic nuclear energy density functional (REDF). The properties of nuclei involved in the decay are obtained using…

Nuclear Theory · Physics 2022-07-13 N. Popara , A. Ravlić , N. Paar

We present an extensive study of nuclear matrix elements (NME) for the neutrinoless double beta decay of the nuclei $^{48}$Ca, $^{76}$Ge, $^{82}$Se, $^{96}$Zr, $^{100}$Mo, $^{116}$Cd, $^{124}$Sn, $^{128}$Te, $^{130}$Te, $^{136}$Xe, and…

Nuclear Theory · Physics 2010-12-28 Tomás R. Rodríguez , G. Martinez-Pinedo

A density functional theory (DFT) of lattice fermion models is presented, which uses the single-particle density matrix gamma_{ij} as basic variable. A simple, explicit approximation to the interaction-energy functional W[gamma] of the…

Strongly Correlated Electrons · Physics 2009-11-07 R. Lopez-Sandoval , G. M. Pastor

A systematic shell model description of the experimental Gamow-Teller transition strength distributions in $^{42}$Ti, $^{46}$Cr, $^{50}$Fe and $^{54}$Ni is presented. These transitions have been recently measured via $\beta$ decay of these…

Nuclear Theory · Physics 2016-06-29 Vikas Kumar , P. C. Srivastava

Nuclear matrix elements (NME) for the most promising candidates to detect neutrinoless double beta decay have been computed with energy density functional methods including deformation and pairing fluctuations explicitly on the same…

Nuclear Theory · Physics 2014-01-06 Nuria López Vaquero , Tomás R. Rodríguez , J. Luis Egido

Gamow-Teller strength distributions, beta-decay half-lives, and beta-delayed neutron emission are investigated in neutron-rich Zr and Mo isotopes within a deformed quasiparticle random-phase approximation. The approach is based on a…

Nuclear Theory · Physics 2014-11-21 P. Sarriguren , J. Pereira

Beta decay is one of the key factors to understand the r process and evolution of massive stars. The Gamow Teller (GT) transitions drive the beta decay process. We employ the proton neutron quasiparticle random phase approximation (on QRPA)…

Nuclear Theory · Physics 2024-09-23 Jameel Un Nabi , Muhammad Riaz , Arslan Mehmood

The double Gamow-Teller strength distributions in the lightest double beta-decay candidate $^{48}$Ca and its isotope $^{46}$Ca were calculated using the nuclear shell model by applying the single Gamow-Teller operator two times sequentially…

Nuclear Theory · Physics 2018-12-05 Naftali Auerbach , Minh-Loc Bui

We discuss the uncertainties in constraining low-energy constants of chiral effective field theory from $^3$H $\beta$ decay. The half-life is very precisely known, so that the Gamow-Teller matrix element has been used to fit the coupling…

Nuclear Theory · Physics 2018-04-25 P. Klos , A. Carbone , K. Hebeler , J. Menéndez , A. Schwenk

An improved formalism of the two-neutrino double-beta decay ($2\nu\beta\beta$-decay) rate is presented, which takes into account the dependence of energy denominators on lepton energies via the Taylor expansion. Till now, only the leading…

Nuclear Theory · Physics 2018-04-13 Fedor Šimkovic , Rastislav Dvornický , Dušan Štefánik , Amand Faessler

To extract information about the neutrino properties from the study of neutrinoless double-beta (0\nu\beta\beta) decay one needs a precise computation of the nuclear matrix elements (NMEs) associated with this process. Approaches based on…

Nuclear Theory · Physics 2013-08-06 Andrei Neacsu , Sabin Stoica , Mihai Horoi

We present a new approach to the construction of effective interactions suitable for many-body calculations by means of the no-core shell model (NCSM). We consider an effective field theory (EFT) with only nucleon fields directly in the…

Nuclear Theory · Physics 2008-11-26 I. Stetcu , B. R. Barrett , U. van Kolck

A density functional theory is developed for fermions in one dimension, interacting via a delta-function. Such systems provide a natural testing ground for questions of principle, as the local density approximation should work well for…

Other Condensed Matter · Physics 2007-05-23 R. J. Magyar , K. Burke

Background: The superallowed beta-decay rates provide stringent constraints on physics beyond the Standard Model of particle physics. To extract crucial information about the electroweak force, small isospin-breaking corrections to the…

Nuclear Theory · Physics 2013-05-30 W. Satula , J. Dobaczewski , W. Nazarewicz , T. R. Werner

In the present work, we have reported a comprehensive shell-model study of GT-strengths for recently available experimental data for $^{60}$Ga and $^{62}$Ga from RIKEN Nishina Center [Phys. Rev. C 103, 014324 (2021)] populated by $\beta $…

Nuclear Theory · Physics 2021-11-01 Vikas Kumar , Anil Kumar , Praveen C. Srivastava

We present a seminal calculation of the nuclear matrix element for the two-neutrino double beta ($2\nu\beta\beta$) decay of ${}^{48}\text{Ca} \rightarrow {}^{48}\text{Ti}$ using a post-Hartree-Fock (HF) Density Functional Theory-based…

Nuclear Theory · Physics 2025-06-17 Jan Miśkiewicz , Maciej Konieczka , Wojciech Satuła

The relativistic configuration-interaction density functional theory is developed for even-even and odd-odd nuclei and is used to predict the nuclear matrix element of the neutrinoless $\beta\beta$ ($0\nu\beta\beta$) decay in nucleus…

Nuclear Theory · Physics 2025-03-03 Y. K. Wang , P. W. Zhao , J. Meng

We introduce the formalism to describe heavy-ion Double-Charge-Exchange (DCE) processes in the eikonal approximation. We focus on the low-momentum-transfer limit -- corresponding to the differential cross section at $\theta=0^\circ$ -- and,…

Nuclear Theory · Physics 2018-12-12 E. Santopinto , H. García-Tecocoatzi , R. I. Magaña-Vsevolodovna , J. Ferretti

$\beta$-decay properties of nuclei are investigated within the relativistic nuclear energy density functional framework by varying the temperature and density, conditions relevant to the final stages of stellar evolution. Both thermal and…

Nuclear Theory · Physics 2021-09-06 A. Ravlic , E. Yuksel , Y. F. Niu , N. Paar

Electron capture and beta-decay rates on nuclei in the mass range A=45-65 play an important role in many astrophysical environments. The determination of these rates by large-scale shell model calculations is desirable, but it requires to…

Nuclear Theory · Physics 2009-10-31 E. Caurier , K. Langanke , G. Martinez-Pinedo , F. Nowacki