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UNIVERSITY OF BUCHAREST
FACULTY OF PHYSICS Guest
2024-11-22 2:02 |
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Conference: Bucharest University Faculty of Physics 2018 Meeting
Section: Theoretical Physics and Applied Mathematics
Title:
Weak interaction rates for exotic nuclei relevant in nuclear astrophysics
Authors:
Adrian Sorin MARE(1), Alexandrina PETROVICI(2)
Affiliation:
1) Faculty of Physics, University of Bucharest
1)Horia Hulubei National Institute for Physics and Nuclear Engineering
Hadronic Physics Department
2)Horia Hulubei National Institute for Physics and Nuclear Engineering
Hadronic Physics Department
E-mail
mareadriansorin@yahoo.com
Keywords:
First-Forbidden Beta decay, nuclear astrophysics, weak interaction rates
Abstract:
Neutron rich nuclei in the A = 100 mass region are investigated theoretically and experimentally because of their properties relevant for astrophysical scenarios on nucleosynthesis. In exotic nuclei, the forbidden beta decay processes and the allowed ones could have comparable contributions to the decay rate. We report on the first steps on the way to calculate the forbidden transitions in exotic neutron-rich nuclei dominated by shape coexistence and mixing. The nuclear single-particle matrix elements of first forbidden beta-decay can be divided into two classes: relativistic and non-relativistic one-body operators. The relativistic matrix elements appear from the hadronic weak current and they are responsible for the connection between the large and small components of the nucleonic wave-functions in the Dirac equation, while the non-relativistic operators occur from the expansion of the leptonic wave function in the V-A representation. In this paper analytical solutions for the single-particle reduced matrix elements involved in 0- -> 0+ first forbidden beta-decay are presented within the harmonic oscillator basis. The matrix elements are also evaluated numerically, using Wolfram Mathematica, and compared with our analytical solutions.
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