scholarly journals Heavy Ion Charge Exchange Reactions as Probes for Beta–Decay

2019 ◽  
Vol 223 ◽  
pp. 01031
Author(s):  
Horst Lenske
Keyword(s):  
Charge Exchange ◽  
Heavy Ion ◽  
Second Order ◽  
Exchange Reactions ◽  
Theoretical Concepts ◽  
Double Charge Exchange ◽  
First Results ◽  
One Step ◽  
Wave Methods ◽  
Double Charge

Peripheral heavy ion single and double charge reactions are described by fully quantum mechanical distorted wave methods. A special class of nuclear double charge exchange (DCE) reactions proceeding as a one-step reaction through a two-body process are shown to proceed by nuclear matrix elements of a diagrammatic structure as found also in 0ν2ß decay. These hadronic Majorana-type DCE reactions (MDCE) have to be distinguished from second order DCE reactions, given by double single charge exchange (DSCE) processes, resembling 2ν2ß decay. The theoretical concepts of MDCE are discussed. First results show that ion-ion DCE reactions are the ideal testing grounds for investigations of rare second order nuclear processes, giving insight into nuclear in-medium two-body correlation.

scholarly journals Two-step description of heavy ion double charge exchange reactions

2020 ◽  
Vol 807 ◽  
pp. 135528 ◽  
Author(s):  
Jessica I. Bellone ◽  
Stefano Burrello ◽  
Maria Colonna ◽  
José-Antonio Lay ◽  
Horst Lenske
Keyword(s):  
Charge Exchange ◽  
Heavy Ion ◽  
Exchange Reactions ◽  
Double Charge Exchange ◽  
Double Charge

scholarly journals Heavy-ion double charge exchange reactions: A tool toward $0 \nu\beta\beta$ nuclear matrix elements

2015 ◽  
Vol 51 (11) ◽  
Author(s):  
F. Cappuzzello ◽  
M. Cavallaro ◽  
C. Agodi ◽  
M. Bondì ◽  
D. Carbone ◽  
...  
Keyword(s):  
Charge Exchange ◽  
Nuclear Matrix ◽  
Heavy Ion ◽  
Matrix Elements ◽  
Exchange Reactions ◽  
Double Charge Exchange ◽  
Double Charge

scholarly journals Nuclear Matrix Elements for Heavy Ion Sequential Double Charge Exchange Reactions

Universe ◽  
2021 ◽  
Vol 7 (4) ◽  
pp. 98
Author(s):  
Horst Lenske ◽  
Jessica Bellone ◽  
Maria Colonna ◽  
Danilo Gambacurta
Keyword(s):  
Charge Exchange ◽  
Nuclear Matrix ◽  
Form Factors ◽  
Heavy Ion ◽  
Theoretical Background ◽  
Matrix Elements ◽  
Exchange Reactions ◽  
Charge Exchange Reaction ◽  
Double Charge Exchange ◽  
Double Charge

The theoretical approach to a sequential heavy ion double charge exchange reaction is presented. A brief introduction into the formal theory of second-order nuclear reactions and their application to Double Single Charge Exchange (DSCE) reactions by distorted wave theory is given, thereby completing the theoretical background to our recent work. Formally, the DSCE reaction amplitudes are shown to be separable into superpositions of distortion factors, accounting for initial and final state ion–ion interactions, and nuclear matrix elements. A broad space is given to the construction of nuclear DSCE response functions on the basis of polarization propagator theory. The nuclear response tensors resemble the nuclear matrix elements of 2νββ decay in structure but contain in general a considerable more complex multipole and spin structure. The QRPA theory is used to derive explicit expressions for nuclear matrix elements (NMEs). The differences between the NME of the first and the second interaction vertexes in a DSCE reaction is elucidated. Reduction schemes for the transition form factors are discussed by investigating the closure approximation and the momentum structure of form factors. DSCE unit strength cross sections are derived.

scholarly journals Nuclear Response to Second-Order Isospin Probes in Connection to Double Beta Decay

Universe ◽  
2020 ◽  
Vol 6 (11) ◽  
pp. 217
Author(s):  
Francesco Cappuzzello ◽  
Manuela Cavallaro
Keyword(s):  
Charge Exchange ◽  
Theoretical Calculations ◽  
Nuclear Matrix Element ◽  
Quantitative Information ◽  
Mass Scale ◽  
Second Order ◽  
Double Beta Decay ◽  
Coupling Constants ◽  
Exchange Reactions ◽  
Double Charge

One of the key ingredients needed to extract quantitative information on neutrino absolute mass scale from the possible measurement of the neutrinoless double-beta (0νββ) decay half-lives is the nuclear matrix element (NME) characterizing such transitions. NMEs are not physical observables and can only be deduced by theoretical calculations. However, since the atomic nuclei involved in the decay are many-body systems, only approximated values are available to date. In addition, the value of the coupling constants to be used for the weak interaction vertices is still an open question, which introduces a further indetermination in the calculations of NMEs. Several experimental approaches were developed in the years with the aim of providing useful information to further constrain the theory. Here we give an overview of the role of charge exchange reactions in this scenario, focusing on second-order processes, namely the double charge exchange (DCE) reactions.

scholarly journals Two-nucleon transfer and Double Charge Exchange reactions

2018 ◽  
Vol 1056 ◽  
pp. 012053
Author(s):  
E Santopinto ◽  
R I Magana Vsevolodovna ◽  
H García-Tecocoatzi ◽  
Keyword(s):  
Charge Exchange ◽  
Exchange Reactions ◽  
Nucleon Transfer ◽  
Double Charge Exchange ◽  
Double Charge
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