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UNIVERSITY OF BUCHAREST
FACULTY OF PHYSICS Guest
2024-11-22 1:49 |
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Conference: Bucharest University Faculty of Physics 2012 Meeting
Section: Theoretical Physics and Applied Mathematics
Title:
Renormalizing the Pairing Potential
Authors:
V. V. BARAN
Affiliation:
University Of Bucharest, Faculty of Physics
E-mail
virgilbaran@yahoo.com
Keywords:
Pairing, BCS approximation, Gap Equation, Renormalization
Abstract:
We discuss the pairing phenomenon in infinite nuclear matter in the BCS approximation,
by introducing the concept of renormalization of the pairing potential. In this way, one
is able to solve the gap equation by working only in the interesting, restricted, low energy space
of states, where the iterative solution`s convergence is very fast. After reviewing basic aspects of
the BCS theory, we develop the renormalization procedure in the general case, and then we specialize
to a separable approximation of the potential, which allows for an easy solution. Finally, we present
the results for the Paris potential, and discuss the implications for astrophysical phenomena.
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