Relativistic random-phase approximation calculation with negative energy states of nuclear polarization in muonic atoms

2004 ◽  
Vol 69 (4) ◽  
Author(s):  
Akihiro Haga ◽  
Yataro Horikawa ◽  
Yasutoshi Tanaka ◽  
Hiroshi Toki
Keyword(s):  
Random Phase Approximation ◽  
Nuclear Polarization ◽  
Random Phase ◽  
Negative Energy ◽  
Phase Approximation ◽  
Muonic Atoms ◽  
Negative Energy States ◽  
Energy States ◽  
Approximation Calculation

scholarly journals Detailed calculations for muon capture rates within the quasi-particle RPA

2019 ◽  
Vol 18 ◽  
pp. 175
Author(s):  
I. S. Kardaras ◽  
V. N. Stavrou ◽  
I. G. Tsoulos ◽  
T. S. Kosmas
Keyword(s):  
Genetic Algorithm ◽  
Random Phase Approximation ◽  
Random Phase ◽  
Numerical Approach ◽  
Muon Capture ◽  
Phase Approximation ◽  
Quasi Particle ◽  
Muonic Atoms ◽  
Genetic Algorithm Approach ◽  
Capture Rates

Detailed calculations for bound muon capture in complex nuclei are performed by employing the quasi particle random phase approximation (QRPA). The required bound muon wavefunctions for the large and the small components of the Dirac muon wavefunctions are obtained by using the genetic algorithm approach. We ob- tained contributions for 2p muon orbit; that is to say wavefunctions for atomic ex- cited state of the muonic atoms in nucleus 28Si. As a byproduct the above method give the corresponding energies to these wavefunctions which are compared with those of other methods. Our goal is to use the method developed recently by Laganke, Zinner and Vogel and our advantageous numerical approach to obtain state by state calculations of the muon capture rates within the QRPA.

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