Two-particle spatial correlations in superfluid nuclei

Abstract

We discuss the effect of pairing on two-neutron space correlations in deformed nuclei. The spatial correlations are described by the pairing tensor in coordinate space calculated in the HFB approach. The calculations are done using the D1S Gogny force. We show that the pairing tensor has a rather small extension in the relative coordinate, a feature observed earlier in spherical nuclei. It is pointed out that in deformed nuclei the coherence length corresponding to the pairing tensor has a pattern similar to what we have found previously in spherical nuclei, i.e., it is maximal in the interior of the nucleus and then it is decreasing rather fast in the surface region where it reaches a minimal value of about 2 fm. This minimal value of the coherence length in the surface is essentially determined by the finite size properties of single-particle states in the vicinity of the chemical potential and has little to do with enhanced pairing correlations in the nuclear surface. It is shown that in nuclei the coherence length is not a good indicator of the intensity of pairing correlations. This feature is contrasted with the situation in infinite matter.

14 pages, 17 figures, submitted to PRC

References in corpus (4)

• Coexistence of BCS and BEC-like pair structures in halo nuclei
• Generic strong coupling behavior of Cooper pairs in the surface of superfluid nuclei
• Microscopic calculation and LDA of the spatial dependence of the pairing field with bare and induced interactions
• Spatial correlation properties of the anomalous density matrix in a slab of nuclear matter with realistic NN-forces

Cited by in corpus (18)

• The BCS-BEC crossover: From ultra-cold Fermi gases to nuclear systems
• Prospective study on microscopic potential with Gogny interaction
• Isovector spin-singlet (T=1, S=0) and isoscalar spin-triplet (T=0, S=1) pairing interactions and spin-isospin response
• Pairing in exotic neutron rich nuclei around the drip line and in the crust of neutron stars
• On the impact of large amplitude pairing fluctuations on nuclear spectra
• Surface-enhanced pair transfer in quadrupole states of neutron-rich Sn isotopes
• Role of diproton correlation in two-proton emission decay of the ${}^6$Be nucleus
• On the superfluid properties of the inner crust of neutron stars
• Dependence of two-proton radioactivity on nuclear pairing models
• Neutron pair transfer in sub-barrier capture process
• Di-neutron correlation in monopole two-neutron transfer modes in Sn isotope chain
• Multipair approach to pairing in nuclei
• Cooper pair sizes in superfluid nuclei in a simplified model
• Analysis of the effect of core structure upon dineutron correlation using antisymmetrized molecular dynamics
• Localization of pairing correlations in nuclei within relativistic mean field models
• Pairing versus quarteting coherence length
• Nuclear scissors modes and hidden angular momenta
• Cold atoms beyond atomic physics