scholarly journals A new renormalization procedure of the quasiparticle random phase approximation

2016 ◽  
Vol 25 (03) ◽  
pp. 1650017
Author(s):  
A. A. Raduta ◽  
C. M. Raduta
Keyword(s):  
Random Phase Approximation ◽  
Random Phase ◽  
Interaction Strength ◽  
Phase Approximation ◽  
Many Body ◽  
Pairing Interaction ◽  
Renormalization Procedure ◽  
Quasiparticle Random Phase Approximation ◽  
Exact Calculations ◽  
Single Formula

The ground state of a many body Hamiltonian considered in the quasiparticle representation is redefined by accounting for the quasiparticle quadrupole pairing interaction. The residual interaction of the newly defined quasiparticles is treated by the quasiparticle random phase approximation (QRPA). Solutions of the resulting equations exhibit specific features. In particular, there is no interaction strength where the first root is vanishing. A comparison with other renormalization methods is presented. Application to a single [Formula: see text]-shell allows for the results interpretation by comparing them with those obtained by exact calculations.

LOWEST LYING 2+ AND 3- STATES OF Z-EVEN N = 50 ISOTONES IN RELATIVISTIC QUASIPARTICLE RANDOM PHASE APPROXIMATION

2009 ◽  
Vol 24 (38) ◽  
pp. 3103-3111 ◽  
Author(s):  
A. ANSARI ◽  
P. RING
Keyword(s):  
Random Phase Approximation ◽  
Mass Number ◽  
Random Phase ◽  
Interaction Strength ◽  
Adjustable Parameter ◽  
Phase Approximation ◽  
Pairing Interaction ◽  
Microscopic Approach ◽  
Quasiparticle Random Phase Approximation ◽  
Wide Range

We have studied the variation of the excitation energy, electric multipole decay rate and g factor of the lowest lying 2+ and 3- states of even-ZN = 50 isotones as a function of the mass number in relativistic quasiparticle random phase approximation. Overall agreement with the available data is quite satisfactory considering the wide range of the number of nuclei and their excitation properties in a microscopic approach having no free adjustable parameter. Also predictions are made for several nuclei. We find that increase in the pairing interaction strength, in general, improves the agreement with the data for 3- states but it affects adversely the results for the 2+ states.

scholarly journals Fundamental nuclear structure symmetries in double beta decay processes

2020 ◽  
Vol 9 ◽  
pp. 211
Author(s):  
O. Civitarese
Keyword(s):  
Nuclear Structure ◽  
Beta Decay ◽  
Random Phase Approximation ◽  
Body Problem ◽  
Random Phase ◽  
Double Beta Decay ◽  
Phase Approximation ◽  
Many Body ◽  
Quasiparticle Random Phase Approximation ◽  
Fundamental Symmetries

The nuclear structure physics of double beta decay transitions is reviewed starting from the consideration of fundamental symmetries of the nuclear many body problem. The problems found in the use of the Quasiparticle Random Phase Approximation (QRPA) and related approximations, in dealing with the calculation of nuclear double beta decay observables, are understood in terms of the mixing between isospin collective and intrinsic variables.

Neutrino reactions onC12by the quasiparticle random-phase approximation (QRPA)

2010 ◽  
Vol 81 (2) ◽  
Author(s):  
Myung-Ki Cheoun ◽  
Eunja Ha ◽  
Su Youn Lee ◽  
K. S. Kim ◽  
W. Y. So ◽  
...  
Keyword(s):  
Random Phase Approximation ◽  
Random Phase ◽  
Phase Approximation ◽  
Quasiparticle Random Phase Approximation
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