Physics – Nuclear Physics – Nuclear Theory
Scientific paper
2005-02-23
Phys.Rev. C72 (2005) 054314
Physics
Nuclear Physics
Nuclear Theory
Scientific paper
10.1103/PhysRevC.72.054314
The dependence on the single-particle states of the pairing matrix elements of the Gogny force and of the bare low-momentum nucleon-nucleon potential $v_{low-k}$ is studied in the semiclassical approximation for the case of a typical finite, superfluid nucleus ($^{120}$Sn). It is found that the matrix elements of $v_{low-k}$ follow closely those of $v_{Gogny}$ on a wide range of energy values around the Fermi energy $e_F$, those associated with $v_{low-k}$ being less attractive. This result explains the fact that around $e_F$ the pairing gap $\Delta_{Gogny}$ associated with the Gogny interaction (and with a density of single-particle levels corresponding to an effective $k$-mass $m_k\approx 0.7 m$) is a factor of about 2 larger than $\Delta_{low-k}$,being in agreement with $\Delta_{exp}$= 1.4 MeV. The exchange of low-lying collective surface vibrations among pairs of nucleons moving in time-reversal states gives rise to an induced pairing interaction $v_{ind}$ peaked at $e_F$. The interaction $(v_{low-k}+ v_{ind})Z_{\omega}$ arising from the renormalization of the bare nucleon-nucleon potential and of the single-particle motion ($\omega-$mass and quasiparticle strength $Z_{\omega}$) due to the particle-vibration coupling leads to a value of the pairing gap at the Fermi energy $\Delta_{ren}$ which accounts for the experimental value.
Barranco Francisco
Bortignon Pier Francesco
Broglia Ricardo A.
Colo' Gianluca
Schuck Peter
No associations
LandOfFree
Pairing Matrix Elements and Pairing Gaps with Bare, Effective and Induced Interactions does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Pairing Matrix Elements and Pairing Gaps with Bare, Effective and Induced Interactions, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Pairing Matrix Elements and Pairing Gaps with Bare, Effective and Induced Interactions will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-235758