https://doi.org/10.1140/epja/i2006-08-046-1
Nuclear Physics in Astrophysics II
Effects of the particle-number projection on the isovector pairing energy
1
Laboratoire de Physique Theorique, Faculte de Physique, USTHB, BP 32 El-Alia, 16111, Bab-Ezzouar, Alger, Algeria
2
Centre de Recherche Nucleaire d'Alger, COMENA, BP 399, Alger-Gare, Alger, Algeria
* e-mail: allaln@yahoo.com
Received:
7
June
2005
Accepted:
20
December
2005
Published online:
13
March
2006
The usual neutron-proton BCS wave function is simultaneously projected on both the good neutron and proton numbers using a discrete projection operator. The projected energy of the system is deduced as a limit of rapidly convergent sequence. It is numerically studied for the N = Z nuclei of which “experimental” pairing gaps may be deduced from the experimental odd-even mass differences. It then appears that the particle-number fluctuation effect is even more important than in the case of pairing between like-particles.
PACS: 21.60.-n Nuclear structure models and methods – / 21.30.Fe Forces in hadronic systems and effective interactions –
© Società Italiana di Fisica and Springer-Verlag, 2006
