Double beta decay and the proton-neutron residual interaction

Hirsch, Jorge G.; Hess, Peter O.; Civitarese, O.

doi:10.1016/s0370-2693(96)01511-0

Cited by 26 publications

(11 citation statements)

References 34 publications

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“…It has been shown that the choice of the spin-isospin terms of the Skyrme energy functional affects the calculated strength distribution and excitation energy of the GT resonance, i.e., the properties of the GTR are not entirely determined by the Landau-Migdal residual interaction [269]. In addition, the inclusion of particle-particle correlations in the QRPA residual interaction is important in calculations of the GT transition strength [294,295,296], β-decay rates [31,297,298] and double β-decay amplitudes [299,300]. The inclusion of proton-neutron pairing changes significantly the rates of the neutrinoless double β-decay, allowing for larger values of the expectation value of light neutrino masses [301].…”

Section: Gamow-teller Resonancesmentioning

confidence: 99%

Exotic modes of excitation in atomic nuclei far from stability

Paar¹,

Vretenar²,

Khan³

et al. 2007

Rep. Prog. Phys.

561

702

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We review recent studies of the evolution of collective excitations in atomic nuclei far from the valley of β-stability. Collective degrees of freedom govern essential aspects of nuclear structure, and for several decades the study of collective modes such as rotations and vibrations has played a vital role in our understanding of complex properties of nuclei. The multipole response of unstable nuclei and the possible occurrence of new exotic modes of excitation in weakly-bound nuclear systems, present a rapidly growing field of research, but only few experimental studies of these phenomena have been reported so far. Valuable data on the evolution of the lowenergy dipole response in unstable neutron-rich nuclei have been gathered in recent experiments, but the available information is not sufficient to determine the nature of observed excitations. Even in stable nuclei various modes of giant collective oscillations had been predicted by theory years before they were observed, and for that reason it is very important to perform detailed theoretical studies of the evolution of collective modes of excitation in nuclei far from stability. We therefore discuss the modern theoretical tools that have been developed in recent years for the description of collective excitations in weakly-bound nuclei. The review focuses on the applications of these models to studies of the evolution of low-energy dipole modes from stable nuclei to systems near the particle emission threshold, to analyses of various isoscalar modes, those for which data are already available, as well as those that could be observed in future experiments, to a description of charge-exchange modes and their evolution in neutron-rich nuclei, and to studies of the role of exotic low-energy modes in astrophysical processes.

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Section: Gamow-teller Resonancesmentioning

confidence: 99%

Exotic modes of excitation in atomic nuclei far from stability

Paar¹,

Vretenar²,

Khan³

et al. 2007

Rep. Prog. Phys.

561

702

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“…By comparing this expression with Eqs. (18), (19) and (20) we see that only the lowest intermediate state |4 ′ 3 > contributes to the sum rule within the considered approximation. We find again a combination of energies of involved states to be a function of pairing, particle-particle and particle-hole interactions:…”

Section: Fig 2: (Color Online) Matrix Element M 2νmentioning

confidence: 64%

“…The goal of this paper is to discuss the suppression mechanism of the double Fermi matrix element close to the point of restoration of isospin symmetry of the nuclear Hamiltonian in the context of residual nucleonnucleon interaction. For the sake of simplicity we consider a schematic Hamiltonian, describing the gross properties of the beta-decay processes in the simplest case of monopole Fermi transitions within the SO(5) model [16][17][18][19][20][21]. In order to find explicit dependence of M 2ν F on different parts of the nuclear Hamiltonian the perturbation theory is exploited.…”

Section: Introductionmentioning

confidence: 99%

Two-neutrino double-βdecay Fermi transition and two-nucleon interaction

et al. 2013

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An exactly solvable model for a description of the two-neutrino double beta decay transition of the Fermi type is considered. By using perturbation theory an explicit dependence of the twoneutrino double beta decay matrix element on the like-nucleon pairing, particle-particle and particlehole proton-neutron interactions by assuming a weak violation of isospin symmetry of Hamiltonian expressed with generators of the SO(5) group. It is found that there is a dominance of double beta decay transition through a single state of the intermediate nucleus. Then, an energy weighted sum rule connecting ∆Z=2 nuclei is presented and discussed. It is suggested that this sum rule can be exploited to study the residual interactions of the nuclear Hamiltonian.

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“…This implies that states with explicit flavor will present un-physical states only for large number of bosons. If flavor (0,0) and spin 0 and 1 are considered, we have U(4Ω) ⊃ U(Ω)⊗U (4), which has as an upper limit the number Ω up to which no spurious states appear. Finally, for all pairs, i.e.…”

Section: (4ω) ⊃ U(2ω) ⊗ U(2) the Irrep Of U(4ω) Has To Be Antisymmetmentioning

confidence: 99%

“…An extended version of the Lipkin model was applied to the description of pion condensates in nuclei [2]. A variety of many body techniques have been tested with Lipkintype models [3,4]. In [3] some realistic, less schematic, nuclear interactions, suitable to describe various nuclear properties, were investigated in this way.…”

Section: Introductionmentioning

confidence: 99%

Schematic model for QCD. I. Low energy meson states

et al. 2003

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A simple model for QCD is presented, which is able to reproduce the meson spectrum at low energy. The model is a Lipkin type model for quarks coupled to gluons. The basic building blocks are pairs of quark-antiquarks coupled to a definite flavor and spin. These pairs are coupled to pairs of gluons with spin zero. The multiplicity problem, which dictates that a given experimental state can be described in various manners, is removed when a particle-mixing interaction is turned on. In this first paper of a series we concentrates on the discussion of meson states at low energy, the so-called zero temperature limit of the theory. The treatment of baryonic states is indicated, also.

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Double beta decay and the proton-neutron residual interaction

Cited by 26 publications

References 34 publications

Exotic modes of excitation in atomic nuclei far from stability

Exotic modes of excitation in atomic nuclei far from stability

Two-neutrino double-βdecay Fermi transition and two-nucleon interaction

Schematic model for QCD. I. Low energy meson states

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