Disassembling the nuclear matrix elements of the neutrinoless ββ decay

Menéndez, J. Fernández; Poves, A.; Caurier, E.; Nowacki, F.

doi:10.1016/j.nuclphysa.2008.12.005

Cited by 511 publications

(612 citation statements)

References 37 publications

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“…The matrix elements of the additional tensor operators contained in V UCOM can be given in closed form as well. However, this direct approach relies on the truncation of the Baker-Campbell-Hausdorff expansion (55).…”

Section: Correlated Matrix Elementsmentioning

confidence: 99%

Nuclear structure in the framework of the Unitary Correlation Operator Method

Roth¹,

Neff²,

Feldmeier³

2010

Progress in Particle and Nuclear Physics

161

217

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Correlations play a crucial role in the nuclear many-body problem. We give an overview of recent developments in nuclear structure theory aiming at the description of these interactioninduced correlations by unitary transformations. We focus on the Unitary Correlation Operator Method (UCOM), which offers a very intuitive, universal and robust approach for the treatment of short-range correlations. We discuss the UCOM formalism in detail and highlight the connections to other methods for the description of short-range correlations and the construction of effective interactions. In particular, we juxtapose UCOM with the Similarity Renormalization Group (SRG) approach, which implements the unitary transformation of the Hamiltonian through a very flexible flow-equation formulation. The UCOM-and SRG-transformed interactions are compared on the level of matrix elements and in many-body calculations within the no-core shell model and with Hartree-Fock plus perturbation theory for a variety of nuclei and observables. These calculations provide a detailed picture of the similarities and differences as well as the advantages and limitations of unitary transformation methods.

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Section: Correlated Matrix Elementsmentioning

confidence: 99%

Nuclear structure in the framework of the Unitary Correlation Operator Method

Roth¹,

Neff²,

Feldmeier³

2010

Progress in Particle and Nuclear Physics

161

217

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“…There are many models which have recently been used to compute the 0νββ nuclear matrix elements (NMEs): the quasiparticle random-phase approximation (QRPA), as well as its proton-neutron version (pnQRPA) (see, e.g., [9]) and its renormalized extensions [10,11], the interacting shell model (ISM) [12,13], the microscopic interacting boson model (IBA-2) [14], the Gogny-based energy-density functional (EDF) [15] and its variation [16], and the projected Hartree-FockBogoliubov mean-field scheme (PHFB) [17]. Very recently also the beyond-mean-field covariant density functional theory [18,19] and advanced shell-model frameworks [20][21][22][23] have been used to describe the 0νββ NMEs of nuclei.…”

Section: Introductionmentioning

confidence: 99%

Neutrinoless ββ nuclear matrix elements using isovector spin-dipole Jπ=2− data

et al. 2018

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Ground-state-to-ground-state neutrinoless double-beta (0νββ) decays in nuclei of current experimental interest are revisited. In order to improve the reliability of the nuclear matrix element (NME) calculations for the light Majorana-neutrino mode, the NMEs are calculated by exploiting the newly available data on isovector spindipole (IVSD) J π = 2 − giant resonances. In order to correctly describe the IVSD up to and beyond the giantresonance region, the present computations are performed in extended no-core single-particle model spaces using the spherical version of the proton-neutron quasiparticle random-phase approximation (pnQRPA) with twonucleon interactions based on the Bonn one-boson-exchange G matrix. The appropriate short-range correlations, nucleon form factors, higher-order nucleonic weak currents, and partial restoration of the isospin symmetry are included in the calculations. The results are compared with earlier calculations of Hyvärinen and Suhonen [Phys. Rev. C 91, 024613 (2015)] performed in much smaller single-particle bases without access to the IVSD J π = 2 − giant-resonance data reported here.

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“…The only orbitals active are the 1d and 0h 11/2 orbits, and to a lesser extent the 2s 1/2 orbit. Recent theoretical calculations using both QRPA [29] and the shell model [30] suggested that the g 7/2 plays a non-zero role, and the calculations also appreciably underestimate the role of the d orbitals as shown in Fig. 4.…”

mentioning

confidence: 97%

“…A comparison of these experimental data with the existing calculations show some disagreements with the calculations. No proton h 11/2 strength is seen experimentally, perhaps a consequence of the Z = 64 subshell gap, while this orbital does plays a role in the calculation of the nuclear matrix element [29,30].…”

mentioning

confidence: 99%