Heavy-ion double charge exchange reactions: a tool towards 0v\b{eta}\b{eta} nuclear matrix elements

Abstract

The knowledge of the nuclear matrix elements for the neutrinoless double beta decay is fundamental for neutrino physics. In this paper, an innovative technique to extract information on the nuclear matrix elements by measuring the cross section of a double charge exchange nuclear reaction is proposed. The basic point is that the initial and final state wave functions in the two processes are the same and the transition operators are similar. The double charge exchange cross sections can be factorized in a nuclear structure term containing the matrix elements and a nuclear reaction factor. First pioneering experimental results for the 40Ca(18O,18Ne)40Ar reaction at 270 MeV incident energy show that such cross section factorization reasonably holds for the crucial 0+ --> 0+ transition to 40Args, at least at very forward angles.

References in corpus (5)

• The influence of pairing on the nuclear matrix elements of the neutrinoless double beta decays
• Nuclear matrix elements for double-β decay
• Limits on the neutrino mass from neutrinoless double-$\beta$ decay
• Shape and pairing fluctuations effects on neutrinoless double beta decay nuclear matrix elements
• Nuclear Structure Relevant to Neutrinoless Double Beta Decay: 76Ge and 76Se

Cited by in corpus (30)

• Neutrinoless Double-Beta Decay: Status and Prospects
• Neutrinoless double beta decay and neutrino mass
• The NUMEN project: NUclear Matrix Elements for Neutrinoless double beta decay
• The MAGNEX spectrometer: results and perspectives
• Frontiers in Nuclear Astrophysics
• Double Gamow-Teller transitions and its relation to neutrinoless $\beta \beta$ decay
• Heavy-ion double-charge-exchange and its relation to neutrinoless double-beta decay
• Theory of Single Charge Exchange Heavy Ion Reactions
• Analysis of two-nucleon transfer reactions in the 20Ne + 116Cd system at 306 MeV
• Study of one-proton transfer reaction for the ${}^{18}$O + ${}^{48}$Ti system at 275 MeV
• Multi-channel experimental and theoretical constraints for the ${}^{116}$Cd(${}^{20}$Ne,${}^{20}$F)${}^{116}$In charge exchange reaction at 306 MeV
• Analysis of one-neutron transfer reaction in ${}^{18}$O + ${}^{76}$Se collision at 275 MeV
• Analysis of the background on cross section measurements with the MAGNEX spectrometer: the (20Ne,20O) Double Charge Exchange case
• Important role of projectile excitation in ${}^{16}$O+${}^{60}$Ni and ${}^{16}$O+${}^{27}$Al scattering at intermediate energies
• Spin dipole nuclear matrix elements for double beta decay nuclei by charge-exchange reactions
• One-neutron transfer reaction in the ${}^{18}$O + ${}^{48}$Ti collision at 275 MeV
• Nuclear matrix elements for neutrinoless double beta decays and spin-dipole giant resonances
• Neutrinoless double-$\beta$ decay and double Gamow-Teller transitions
• A Nuclear Structure Model for Double Charge-Exchange Processes
• Characterization of a gas detector prototype based on Thick-GEM for the MAGNEX focal plane detector
• Effects of Neutron Radiation on the Thermal Conductivity of Highly Oriented Pyrolitic Graphite
• Nuclear structure studies of double Gamow-Teller strength
• Is it possible to study neutrinoless $\beta \beta$ decay by measuring double Gamow-Teller transitions?
• Theory of Majorana-Type Heavy Ion Double Charge Exchange Reactions by Pion--Nucleon Isotensor Interactions
• Mini-phoswich and SiPM for Heavy Ion Detection
• Induced Isotensor Interactions in Heavy-Ion Double-Charge-Exchange Reactions and the Role of Initial and Final State Interactions
• Towards Reliable Nuclear Matrix Elements for Neutrinoless $\beta \beta$ Decay
• Formal Theory of Heavy Ion Double Charge Exchange Reactions
• Measuring nuclear reaction cross sections to extract information on neutrinoless double beta decay
• Neutrinoless $\beta \beta$-Decay in DCEQTDA