Abstract
Interest in the study of the spatial properties of pairing correlations in nuclei has recently been revived. The main interesting physical quantity is the coherence length (CL). We investigate the CL as obtained from schematic pairing potentials. We then generalize to quarteting correlations by considering the CL build out of proton and neutron pairs. We point out the main differences between the pairing and quarteting CLs. Finally we comment on the important role of proton-neutron correlations as they strongly modify the behaviour of the CL when taken into account. The coherence properties of the spatial distribution of the two-particle density are known to give information about nuclear correlations [1, 2]. The main physical quantity that describes the coherence property is the CL, defined as the root mean square relative distance averaged over the pairing density, in the case of superfluid nuclei. It has been found [3, 4] that this quantity is of the order of the nuclear radius inside the nucleus and smaller around the nuclear surface. In contrast, the correlations between proton and neutron pairs by the analogous quarteting CL.
Highlights
Theoretical backgroundThe pairing interaction generates the most important two-body correlations beyond the mean field in even-even nuclei
The coherence properties of the spatial distribution of the two-particle density are known to give information about nuclear correlations [1, 2]
The main physical quantity that describes the coherence property is the coherence length (CL), defined as the root mean square relative distance averaged over the pairing density, in the case of superfluid nuclei
Summary
The pairing interaction generates the most important two-body correlations beyond the mean field in even-even nuclei. By considering the overlaps of the proton-proton and respectively neutron-neutron wave functions (given by the corresponding pairing tensors) with the twoproton and respectively two-neutron part of the α-particle wave-function, we construct the quartet tensor κq(Rπ, Rν ) = κπ(r1, r2)|φ0(β0α/2)(rπ) · κν (r3, r4)|φ0(β0α/2)(rν ) , where rπ,ν = r1,3 − r2,4 , Rπ,ν = (r1,3 + r2,4)/2, φ(nβl) is the standard radial spherical Harmonic Oscillator function and βα ≈ 0.5f m−2. This quantity plays the role of the pairing tensor in the quarteting case.
Sign-in/Register to view highlights & summary Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
