Structure of nuclear transition matrix elements for neutrinoless double-β decay

Pramana ◽  
2010 ◽  
Vol 75 (2) ◽  
pp. 281-291
Author(s):  
P. K. Rath
Keyword(s):  
Transition Matrix ◽  
Nuclear Transition ◽  
Matrix Elements ◽  
Β Decay ◽  
Transition Matrix Elements ◽  
Double Β Decay

scholarly journals Nuclear Transition Matrix Elements for Double-β Decay Within PHFB Model

2019 ◽  
Vol 7 ◽  
Author(s):  
P. K. Rath ◽  
Ramesh Chandra ◽  
K. Chaturvedi ◽  
P. K. Raina
Keyword(s):  
Transition Matrix ◽  
Nuclear Transition ◽  
Matrix Elements ◽  
Β Decay ◽  
Transition Matrix Elements ◽  
Double Β Decay

Nuclear transition matrix elements for neutrinoless double-β decay of 76Ge isotope within PHFB approach

2019 ◽  
Vol 28 (11) ◽  
pp. 1950096
Author(s):  
P. K. Rath ◽  
A. Kumar ◽  
R. Chandra ◽  
R. Gautam ◽  
P. K. Raina ◽  
...  
Keyword(s):  
Transition Matrix ◽  
Tensor Decomposition ◽  
Nuclear Transition ◽  
Matrix Elements ◽  
Spin Tensor ◽  
Β Decay ◽  
Hartree Fock ◽  
Transition Matrix Elements ◽  
Majorana Neutrinos ◽  
Double Β Decay

Employing projected–Hartree–Fock–Bogoliubov (PHFB) model, nuclear transition matrix elements (NTMEs) [Formula: see text] for the neutrinoless double-[Formula: see text] decay of [Formula: see text]Ge isotope are calculated within mechanisms involving light as well as heavy Majorana neutrinos, and classical Majorons. By considering the spin-tensor decomposition of realistic KUO and empirical JUN45 effective two-body interactions, it is noticed that the effect due to SRC on NTMEs [Formula: see text] and [Formula: see text] involving the exchange of light and heavy Majorana neutrinos, respectively, is maximally incorporated by the central part of the effective two-body interaction, which varies by a small amount with the inclusion of spin-orbit and tensor components. Presently, the model-dependent uncertainties in the average NTMEs [Formula: see text] and [Formula: see text] turn out to be about 10% and 37%, respectively.

Nuclear transition matrix elements for neutrinoless double-β decay within Rp-violating squark-neutrino mechanism

2020 ◽  
Vol 29 (08) ◽  
pp. 2050066
Author(s):  
P. K. Rath ◽  
B. Shukla ◽  
K. Chaturvedi ◽  
V. K. Nautiyal ◽  
R. Chandra ◽  
...  
Keyword(s):  
Transition Matrix ◽  
Short Range ◽  
Nuclear Transition ◽  
Matrix Elements ◽  
Β Decay ◽  
Dipole Form Factor ◽  
Transition Matrix Elements ◽  
Double Β Decay ◽  
Short Range Correlations ◽  
Dipole Form

Within the squark-neutrino mechanism of [Formula: see text]-violating SUSY, sets of 12 nuclear transition matrix elements (NTMEs) are calculated for the neutrinoless double-[Formula: see text] decay [Formula: see text] of [Formula: see text]Zr, [Formula: see text]Mo, [Formula: see text]Pd, [Formula: see text]Te and [Formula: see text]Nd isotopes. Specifically, four sets of HFB wave functions generated with four different parametrizations of the pairing plus multipolar two-body interactions, dipole form factor and three different parametrizations of the Jastrow short-range correlations are employed in the calculation of NTMEs with two possible prescriptions for the hadronization, namely the two-nucleon mode and the pionic mode. Without (with) Miller–Spencer parametrization of short-range correlation, uncertainties in average NTMEs [Formula: see text] (QBM), [Formula: see text] (NRQM), [Formula: see text] (FF3) and [Formula: see text] turn out be 11–18% (29–37%), 11–16% (27–31%), 5–12% (13–17%) and 3–13% (9–15%), respectively.

scholarly journals Nuclear transition matrix elements for neutrinoless double-β decay within mechanisms involving light Majorana neutrino mass and right-handed current

2019 ◽  
Vol 28 (01n02) ◽  
pp. 1950001
Author(s):  
Yash Kaur Singh ◽  
R. Chandra ◽  
K. Chaturvedi ◽  
Tripti Avasthi ◽  
P. K. Rath ◽  
...  
Keyword(s):  
Neutrino Mass ◽  
Transition Matrix ◽  
Weak Coupling ◽  
Majorana Neutrino ◽  
Nuclear Transition ◽  
Matrix Elements ◽  
Β Decay ◽  
Hartree Fock ◽  
Transition Matrix Elements ◽  
Majorana Neutrino Mass

Employing the projected-Hartree-Fock-Bogoliubov (PHFB) model in conjunction with four different parametrizations of pairing plus multipolar effective two-body interaction and three different parametrizations of Jastrow short-range correlations, nuclear transition matrix elements for the neutrinoless double-[Formula: see text] decay of [Formula: see text], [Formula: see text], [Formula: see text], [Formula: see text] and [Formula: see text] isotopes are calculated within mechanisms involving light Majorana neutrino mass and right-handed current. Statistically, model specific uncertainties in sets of twelve nuclear transition matrix elements are estimated by calculating the averages along with the standard deviations. For the considered nuclei, the most stringent extracted on-axis limits on the effective light Majorana neutrino mass [Formula: see text], the effective weak coupling of right-handed leptonic current with right-handed hadronic current [Formula: see text], and the effective weak coupling of right-handed leptonic current with left-handed hadronic current [Formula: see text] from the observed limit on half-life [Formula: see text] of [Formula: see text] isotope are [Formula: see text][Formula: see text]eV, [Formula: see text] and [Formula: see text], respectively.

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