scholarly journals Number-conserving random phase approximation with analytically integrated matrix elements

1990 ◽  
Vol 41 (1) ◽  
pp. 284-297 ◽  
Author(s):  
M. Kyotoku ◽  
K. W. Schmid ◽  
F. Grümmer ◽  
Amand Faessler
Keyword(s):  
Random Phase Approximation ◽  
Random Phase ◽  
Phase Approximation ◽  
Matrix Elements

scholarly journals Study of the exotic μ-e conversion in nuclei using RQRPA

2020 ◽  
Vol 9 ◽  
pp. 1
Author(s):  
Zhongzhu Ren ◽  
A. Faessler ◽  
T. S. Kosmas
Keyword(s):  
Periodic Table ◽  
Transition Matrix ◽  
Random Phase Approximation ◽  
Random Phase ◽  
Pauli Principle ◽  
Phase Approximation ◽  
Matrix Elements ◽  
Quasiparticle Random Phase Approximation ◽  
Electron Conversion ◽  
Transition Matrix Elements

The neutrinoless muon-to-electron conversion in nuclei is studied by using the renormalized quasiparticle random-phase approximation (RQRPA). This generalization of RPA is more reliable for the extremely small (μ-,e-) transition matrix elements than the ordinary QRPA because it restores the Pauli principle to a large extent. We apply the method to a set of nuclei throughout the periodic table, but we specifically investigate the 48Ti and 208Pb nuclei which are currently used as stopping targets at the PSI μ-e conversion experiments with the SINDRUM II spectrometer.

Investigation of isospin forbidden 0+ → 0+ Fermi beta decays with Pyatov method

Open Physics ◽  
2014 ◽  
Vol 12 (11) ◽  
Author(s):  
Abdullah Çalık
Keyword(s):  
Random Phase Approximation ◽  
Random Phase ◽  
Theoretical Data ◽  
Phase Approximation ◽  
Matrix Elements ◽  
Quasi Particle ◽  
The Matrix ◽  
Pairing Interactions ◽  
Isotopic Invariance ◽  
Beta Decays

AbstractIn the present work, the matrix elements, isospin impurities and log ft values of the isospin forbidden 0+ → 0+ beta decays have been investigated. The calculated results have been compared with available experimental and another theoretical data. The isotopic invariance of the Hamiltonian has been restored by Pyatov method. Within the quasi-particle random phase approximation (QRPA), the computations have been performed both in presence and absence of the pairing interactions.

Superallowed Fermi Beta Decay and the Unitarity of the Cabibbo-Kobayashi-Maskawa Matrix

2009 ◽  
Vol 64 (12) ◽  
pp. 865-871 ◽  
Author(s):  
Abdullah Engin Çalık ◽  
Murat Gerçeklioğlu ◽  
Djevad Irfan Salamov
Keyword(s):  
Beta Decay ◽  
Transition Matrix ◽  
Random Phase Approximation ◽  
Random Phase ◽  
Phase Approximation ◽  
Matrix Elements ◽  
Isospin Breaking ◽  
Transition Matrix Elements ◽  
Mixing Matrix ◽  
Beta Decays

In this work, the unitarity of the Cabibbo-Kobayashi-Maskawa (CKM) mixing matrix has been investigated by studying the eleven well-known superallowed Fermi Beta decays; their parent nuclei are 10C, 14O, 26Al, 34Cl, 38K, 42Sc, 46V, 50Mn, 54Co, 62Ga, and 74Rb. The numerical value of the Vud element of the CKM mixing matrix has been calculated following the standart procedure. Using a different method from those of the previous studies, the effect of the isospin breaking due to the Coulomb forces has been evaluated more accurately. Here, the shell model has been modified by Pyatov’s restoration because of the isospin breaking and the transition matrix elements have been found by means of the random phase approximation (RPA)

Sign in / Sign up

Export Citation Format

Share Document