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We extend the algebraic-eikonal approach to medium energy proton scattering from odd-mass nuclei by combining the eikonal approximation for the scattering with a description of odd-mass nuclei in terms of the interacting boson-fermion…

Nuclear Theory · Physics 2008-11-26 R. Bijker , A. Frank

Two-neutrino double-beta decay of certain nuclear isotopes is one of the rarest Standard Model processes observed in nature. Its neutrinoless counterpart is an exotic lepton-number nonconserving process that is widely searched for to…

High Energy Physics - Lattice · Physics 2021-01-01 Zohreh Davoudi , Saurabh V. Kadam

We report ab initio benchmark calculations of nuclear matrix elements (NMEs) for neutrinoless double-beta ($0\nu\beta\beta$) decays in light nuclei with mass number ranging from $A=6$ to $A=22$. We use the transition operator derived from…

Nuclear Theory · Physics 2021-01-27 J. M. Yao , A. Belley , R. Wirth , T. Miyagi , C. G. Payne , S. R. Stroberg , H. Hergert , J. D. Holt

Nucleon exchange mechanism is investigated in the central collisions of ${}^{40}$Ca + ${}^{238}$U and ${}^{48}$Ca + ${}^{238}$U systems near the quasi-fission regime in the framework of the Stochastic Mean-Field (SMF) approach. Sufficiently…

Nuclear Theory · Physics 2016-01-12 S. Ayik , B. Yilmaz , O. Yilmaz

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

Nuclear matrix elements (NMEs) for neutrinoless double-beta ($0\nu\beta\beta$) decay in candidate nuclei play a crucial role in interpreting results from current experiments and in designing future ones. Accurate NME values serve as…

Nuclear Theory · Physics 2024-08-08 C. R. Ding , Gang Li , J. M. Yao

We investigate phase transitions in boson-fermion systems. We propose an analytically solvable model (E(5/12)) to describe odd nuclei at the critical point in the transition from the spherical to $\gamma$-unstable behaviour. In the model, a…

Nuclear Theory · Physics 2008-11-26 C. E. Alonso , J. M. Arias , A. Vitturi

The even--even and even--odd nuclei $^{126}$Xe-$^{132}$Xe and $^{131}$Ba-$^{137}$Ba are shown to have a well-realized $SO_8 \supset SO_6 \supset SO_3$ fermion dynamical symmetry. Their low-lying energy levels can be described by a unified…

Nuclear Theory · Physics 2009-09-25 X. W. Pan , J. L. Ping , D. H. Feng , C. L. Wu , M. K. Guidry

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

Beyond mean-field methods are very successful tools for the description of large-amplitude collective motion for even-even atomic nuclei. The state-of-the-art framework of these methods consists in a Generator Coordinate Method based on…

Nuclear Theory · Physics 2014-10-22 B. Bally , B. Avez , M. Bender , P. -H. Heenen

In two previous papers, the Kerman-Klein-Donau-Frauendorf (KKDF) model was used to study rotational bands of odd deformed nuclei. Here we describe backbending for odd nuclei using the same model. The backbending in the neighboring even…

Nuclear Theory · Physics 2008-11-26 Pavlos Protopapas , Abraham Klein , Niels R. Walet

Nuclei in the $Z\!\approx\!40,N\!\approx\!60$ region have one of the most complicated structural evolution across the nuclear chart, with coexisting shapes arising from different mixed configurations. In such a region, it is difficult to…

Nuclear Theory · Physics 2023-10-03 N. Gavrielov

\item[Background] The isobaric yield ratio difference (IBD) method is found to be sensitive to the density difference of neutron-rich nucleus induced reaction around the Fermi energy. \item[Purpose] An investigation is performed to study…

Nuclear Experiment · Physics 2015-12-04 C. Y. Qiao , H. L. Wei , C. W. Ma , Y. L. Zhang , S. S. Wang

Accurate nuclear matrix elements (NMEs) for neutrinoless double beta decays of candidate nuclei are important for the design and interpretation of future experiments. Significant progress has been made in the modeling of these NMEs from…

Nuclear Theory · Physics 2021-01-12 J. M. Yao

An extension of the Barcelona Catania Paris Madrid (BCPM) energy density functional is proposed to deal with odd-mass systems as well as multiquasiparticle excitations. The extension is based on the assumption that the equal filling…

Nuclear Theory · Physics 2024-04-25 S. A. Giuliani , L. M. Robledo

Quantum phase transitions (QPTs) in odd-mass Nb isotopes are investigated in the framework of the interacting boson-fermion model with configuration mixing. A quantum analysis reveals a Type I QPT (gradual shape-evolution within the…

Nuclear Theory · Physics 2025-11-27 A. Leviatan

We introduce a new Bose-Fermi framework for studying spectral properties and quantum phase transitions (QPTs) in odd-mass nuclei, in the presence of configuration mixing. A detailed analysis of odd-mass Nb isotopes discloses the effects of…

Nuclear Theory · Physics 2022-12-07 Noam Gavrielov , Amiram Leviatan , Francesco Iachello

The odd-odd fp-shell nucleus 52Sc was investigated using in-beam gamma-ray spectroscopy following secondary fragmentation of a 55V and 57Cr cocktail beam. Aside from the known gamma-ray transition at 674(5)keV, a new decay at E_gamma=212(3)…