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We report new shell-model calculations of the isospin-symmetry-breaking correction to superallowed nuclear beta decay. The most important improvement is the inclusion of core orbitals, which are demonstrated to have a significant impact on…

Nuclear Theory · Physics 2008-11-26 I. S. Towner , J. C. Hardy

Precision beta decay experiments serve as powerful probes of physics beyond the Standard Model, enabling stringent tests of fundamental symmetries of nature. In particular, these experiments primarily focus on precise determinations of the…

Nuclear Theory · Physics 2026-02-03 Grigor H. Sargsyan , Garrett B. King , Ayala Glick-Magid , Chien-Yeah Seng

We consider density-density correlations in the one-dimensional Hubbard model at half filling. On intuitive grounds one might expect them to exhibit an exponential decay. However, as has been noted recently, this is not obvious from the…

Strongly Correlated Electrons · Physics 2009-10-31 Fabian H. L. Essler , Holger Frahm

Working with Hamiltonians from chiral effective field theory, we develop a novel framework for describing arbitrary deformed medium-mass nuclei by combining the in-medium similarity renormalization group with the generator coordinate…

Nuclear Theory · Physics 2020-06-15 J. M. Yao , B. Bally , J. Engel , R. Wirth , T. R. Rodríguez , H. Hergert

We evaluate all nuclear matrix elements (NMEs) up to next-to-next-to leading order (N$^2$LO) in chiral effective field theory ($\chi$EFT) for the neutrinoless double-beta ($0\nu\beta\beta$) decay of the nuclei most relevant for experiments,…

Nuclear Theory · Physics 2025-08-22 Daniel Castillo , Lotta Jokiniemi , Pablo Soriano , Javier Menéndez

By incorporating hidden scale symmetry and hidden local symmetry in nuclear effective field theory, combined with double soft-pion theorem, we predict that the Gamow-Teller operator coming from the space component of the axial current…

Nuclear Theory · Physics 2018-09-26 Yan-Ling Li , Yong-Liang Ma , Mannque Rho

We present a shell model calculation for the beta decay of 14-C to the 14-N ground-state, treating the relevant nuclear states as two 0p-holes in an 16-O core. Employing the universal low-momentum nucleon-nucleon potential V(low-k) only,…

Nuclear Theory · Physics 2009-06-30 J. W. Holt , N. Kaiser , W. Weise

For the first time, the $(d,{}^2\text{He})$ reaction was successfully used in inverse kinematics to extract the Gamow-Teller transition strength in the $\beta^{+}$ direction from an unstable nucleus. The nucleus studied was $^{14}$O, and…

Entanglement related properties work as nice fingerprint of the quantum many-body wave function. However, those of fermionic models are hard to evaluate in standard numerical methods because they suffer from finite size effects. We show…

Strongly Correlated Electrons · Physics 2020-11-04 Xavier Plat , Chisa Hotta

The Gamow-Teller (GT) strength distributions of sd shell N=Z nuclei ($^{24}$Mg, $^{28}$Si, and $^{32}$S) are investigated within the framework of proton-neutron quasi particle random phase approximation (pn QRPA) using a deformed basis. The…

Nuclear Theory · Physics 2024-10-15 Jameel-Un Nabi , Abdul Kabir , Tuncay Bayram

A simultaneous calculation for the shape evolution and the related spectroscopic properties of the low-lying states, and the $\beta$-decay properties in the even- and odd-mass Ge and As nuclei in the mass $A\approx70-80$ region, within the…

Nuclear Theory · Physics 2022-04-12 Kosuke Nomura

We evaluate the Fermi and Gamow-Teller (GT) matrix elements in tritium $\beta$-decay by including in the charge-changing weak current the corrections up to one loop recently derived in nuclear chiral effective field theory ($\chi$ EFT). The…

Nuclear Theory · Physics 2017-01-06 A. Baroni , L. Girlanda , A. Kievsky , L. E. Marcucci , R. Schiavilla , M. Viviani

A calculation of the spectroscopic properties, energy levels and electromagnetic transitions and moments, of the ten nuclei $^{128,130}$Te, $^{128,130}$I, $^{128,130}$Xe, $^{129,131}$I, $^{127,129}$Te within the framework of the interacting…

Nuclear Theory · Physics 2013-01-31 N. Yoshida , F. Iachello

The nuclear matrix element (NME) of the neutrinoless double-$\beta$ ($0\nu\beta\beta$) decay is an essential input for determining the neutrino effective mass, if the half-life of this decay is measured. The reliable calculation of this NME…

Nuclear Theory · Physics 2021-09-15 J. Terasaki , Y. Iwata

We study the recently measured beta-decay of $^{70}$Kr into $^{70}$Br within the framework of the large-scale shell model. The enhancement in the Gamow-Teller (GT) transition strength in $^{70}$Br compared to the $\beta$-decay of the…

Nuclear Theory · Physics 2025-07-17 Priyanka Choudhary , Chong Qi

We extend the multi-reference covariant density functional theory (MR-CDFT) by including fluctuations in quadrupole deformations and average isovector pairing gaps simultaneously for the nuclear matrix elements (NMEs) of neutrinoless…

Nuclear Theory · Physics 2023-12-05 C. R. Ding , X. Zhang , J. M. Yao , P. Ring , J. Meng

Data on superallowed Fermi beta decay in nuclei are compiled and electromagnetic corrections discussed. Recommended values for the weak vector coupling constant and the leading element of the Cabibbo-Kobayashi-Maskawa mixing matrix are…

Nuclear Theory · Physics 2007-05-23 I. S. Towner , E. Hagberg , J. C. Hardy , V. T. Koslowsky , G. Savard

Using LDA+GTB (local density approximation+generalized tight-binding) hybrid scheme we investigate the band structure of the electron-doped high-$T_c$ material Sm$_{2-x}$Ce$_{x}$CuO$_4$. Parameters of the minimal tight-binding model for…

Strongly Correlated Electrons · Physics 2009-12-03 M. M. Korshunov , E. V. Zakharova , I. A. Nekrasov , Z. V. Pchelkina , S. G. Ovchinnikov

We combine Halo/Cluster Effective Field Theory (H/CEFT) and the Gamow Shell Model (GSM) to describe the $0^+$ ground state of $\rm{^6He}$ as a three-body halo system. We use two-body interactions for the neutron-alpha particle and…

Nuclear Theory · Physics 2015-06-03 J. Rotureau , U. van Kolck

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…

Nuclear Theory · Physics 2011-03-28 Vadim Rodin , Amand Faessler