scholarly journals The Meijer's G-Functions: Convenient for Describing β Decay in Unstable Nuclei

2015 ◽  
Vol 14 ◽  
pp. 33-36
Author(s):  
A. Pishkoo
Keyword(s):  
Nuclear Physics ◽  
Special Functions ◽  
Wave Functions ◽  
Β Decay ◽  
Unstable Nuclei

The purpose of this paper is to show that the Meijer's G-functions which include all elementary and most of the special functions can describe some phenomena in nuclear physics. In fact, some interesting properties of Meijer's G-functions triggered us to apply these functions in the process β decay. These functions act as "wave functions" for parent and daughter nuclei.

STUDIES OF 12C USING β-DECAYS

2008 ◽  
Vol 17 (10) ◽  
pp. 2182-2187
Author(s):  
S. HYLDEGAARD ◽  
H. O. U. FYNBO ◽  
K. RIISAGER ◽  
S. BRANDENBURG ◽  
P. DENDOOVEN ◽  
...  
Keyword(s):  
Nuclear Structure ◽  
Nuclear Physics ◽  
Β Decay ◽  
Preliminary Results ◽  
Open Questions ◽  
Series Of Experiments ◽  
Triple Alpha ◽  
Implantation Method ◽  
Theory And Experiment ◽  
Α Particles

The nuclear structure of states in 12 C have been a subject of interest for both theory and experiment since the early days of nuclear physics. Many open questions remain, especially concerning the existence and properties of 0+ and 2+ states in the triple alpha continuum. A series of experiments have been performed using β-decay of 12 N and 12 B to probe these states. The latest experiment was performed at KVI using an implantation method, measuring the sum energy of the three α-particles directly. Preliminary results from this experiment will be presented.

The β+ Decay of 234Np and Other Isospin-Forbidden 0+→ 0+ Fermi Transitions

1984 ◽  
Vol 39 (12) ◽  
pp. 1168-1171
Author(s):  
C. T. Yap ◽  
E. L. Saw
Keyword(s):  
Nuclear Matrix ◽  
Coulomb Potential ◽  
Deformation Parameter ◽  
Theoretical Calculations ◽  
Wave Functions ◽  
Matrix Elements ◽  
Β Decay ◽  
A Value ◽  
Experimental Values ◽  
Good Agreement

Although experimental values of the Fermi nuclear matrix elements vary widely from about 1 × 10-3 to 40 × 10-3 for isospin-forbidden 0+→0+ β transitions, theoretical calculations using the Coulomb potential and Nilsson wave functions yielded values of MF in reasonably good agreement, except that of 234Np. However, our calculation of MF for this decay as a function of the deformation parameter β yielded a value of MF in good agreement with experiment for values of β between 0.1 and 0.2.

Dirac equation with CPRS potential and Cornell tensor interaction in the presence of spin and pseudospin symmetry

2020 ◽  
Vol 29 (08) ◽  
pp. 2050064
Author(s):  
Parisa Sedaghatnia ◽  
Hassan Hassanabadi ◽  
Marc de Montigny
Keyword(s):  
Dirac Equation ◽  
Nuclear Physics ◽  
Energy Levels ◽  
Pseudospin Symmetry ◽  
Tensor Interaction ◽  
Wave Functions ◽  
Nuclear Spectroscopy ◽  
Exactly Solvable

Motivated by the prominent role of tensor interactions in nuclear spectroscopy and many applications of spin and pseudospin symmetry in hadronic and nuclear physics, we solve the Dirac equation with a CPRS potential and a Cornell tensor interaction, in the spin and pseudospin symmetry limits, by using the quasi-exactly solvable method. We obtain explicitly the wave functions for the two lowest energy levels, both for spin and pseudospin symmetry. We also discuss the degeneracy of the system.

scholarly journals Nuclear physics of non-standard 0νβ β -decay

2019 ◽  
Author(s):  
J. Kotila ◽  
L. Graf ◽  
F. F. Deppisch ◽  
F. Iachello
Keyword(s):  
Nuclear Physics ◽  
Β Decay

At the borderline between atomic and nuclear physics: two-body β-decay of highly charged ions

2011 ◽  
Vol T144 ◽  
pp. 014001 ◽  
Author(s):  
Yuri A Litvinov ◽  
Fritz Bosch ◽  
Christophor Kozhuharov ◽  
Xinwen Ma ◽  
Thomas Stöhlker ◽  
...  
Keyword(s):  
Nuclear Physics ◽  
Highly Charged Ions ◽  
Β Decay ◽  
Charged Ions
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