Single-Particle Resonances in the Renormalized Random-Phase-Approximation Treatment of Nucleon-Nucleus Scattering

1970 ◽  
Vol 2 (2) ◽  
pp. 374-379 ◽  
Author(s):  
L. Garside ◽  
M. Weigel
Keyword(s):  
Single Particle ◽  
Random Phase Approximation ◽  
Random Phase ◽  
Phase Approximation ◽  
Nucleus Scattering

scholarly journals Estimation of nuclear matrix elements of double-$$\varvec{\beta }$$ decay from shell model and quasiparticle random-phase approximation

2021 ◽  
Vol 136 (9) ◽  
Author(s):  
J. Terasaki ◽  
Y. Iwata
Keyword(s):  
Shell Model ◽  
Nuclear Matrix ◽  
Single Particle ◽  
Random Phase Approximation ◽  
Random Phase ◽  
Nuclear Matrix Element ◽  
Phase Approximation ◽  
Quasiparticle Random Phase Approximation ◽  
Calculation Results ◽  
The Many

AbstractThe nuclear matrix element (NME) of neutrinoless double-$$\beta $$ β ($$0\nu \beta \beta $$ 0 ν β β ) decay is an essential input for determining the neutrino effective mass, if the half-life of this decay is measured. Reliable calculation of this NME has been a long-standing problem because of the diversity of the predicted values of the NME, which depends on the calculation method. In this study, we focus on the shell model and the QRPA. The shell model has a rich amount of the many-particle many-hole correlations, and the quasiparticle random-phase approximation (QRPA) can obtain the convergence of the calculation results with respect to the extension of the single-particle space. It is difficult for the shell model to obtain the convergence of the $$0\nu \beta \beta $$ 0 ν β β NME with respect to the valence single-particle space. The many-body correlations of the QRPA may be insufficient, depending on the nuclei. We propose a new method to phenomenologically modify the results of the shell model and the QRPA compensating for the insufficiencies of each method using the information of other methods in a complementary manner. Extrapolations of the components of the $$0\nu \beta \beta $$ 0 ν β β NME of the shell model are made toward a very large valence single-particle space. We introduce a modification factor to the components of the $$0\nu \beta \beta $$ 0 ν β β NME of the QRPA. Our modification method yields similar values of the $$0\nu \beta \beta $$ 0 ν β β NME for the two methods with respect to $$^{48}$$ 48 Ca. The NME of the two-neutrino double-$$\beta $$ β decay is also modified in a similar but simpler manner, and the consistency of the two methods is improved.

Continuum random phase approximation approach to charged-current neutrino-nucleus scattering

2002 ◽  
Vol 65 (2) ◽  
Author(s):  
N. Jachowicz ◽  
K. Heyde ◽  
J. Ryckebusch ◽  
S. Rombouts
Keyword(s):  
Random Phase Approximation ◽  
Random Phase ◽  
Charged Current ◽  
Phase Approximation ◽  
Approximation Approach ◽  
Nucleus Scattering

Single-Particle States of an Electron-Ion Gas in the Random-Phase Approximation

1967 ◽  
Vol 153 (1) ◽  
pp. 187-200
Author(s):  
W. W. Zachary
Keyword(s):  
Single Particle ◽  
Random Phase Approximation ◽  
Random Phase ◽  
Phase Approximation

scholarly journals Quasielastic neutrino-nucleus scattering in a continuum random phase approximation approach

2015 ◽  
Author(s):  
Vishvas Pandey ◽  
N. Jachowicz ◽  
Tom Van Cuyck ◽  
J. Ryckebusch ◽  
M. Martini
Keyword(s):  
Random Phase Approximation ◽  
Random Phase ◽  
Phase Approximation ◽  
Approximation Approach ◽  
Nucleus Scattering

Structure of the Nucleon-Nucleus Scattering Matrix in the Random-Phase Approximation

1970 ◽  
Vol 1 (1) ◽  
pp. 55-75 ◽  
Author(s):  
J. N. Ginocchio ◽  
T. H. Schucan ◽  
H. A. Weidenmüller
Keyword(s):  
Random Phase Approximation ◽  
Random Phase ◽  
Scattering Matrix ◽  
Phase Approximation ◽  
Nucleus Scattering

scholarly journals Low-energy excitations and quasielastic contribution to electron-nucleus and neutrino-nucleus scattering in the continuum random-phase approximation

2015 ◽  
Vol 92 (2) ◽  
Author(s):  
V. Pandey ◽  
N. Jachowicz ◽  
T. Van Cuyck ◽  
J. Ryckebusch ◽  
M. Martini
Keyword(s):  
Random Phase Approximation ◽  
Random Phase ◽  
Low Energy ◽  
Phase Approximation ◽  
Nucleus Scattering ◽  
The Continuum
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