Physics – Nuclear Physics – Nuclear Theory
Scientific paper
2007-10-30
Phys.Rev.C77:034001,2008
Physics
Nuclear Physics
Nuclear Theory
9 pages, 7 figures
Scientific paper
10.1103/PhysRevC.77.034001
We study neutron matter at and near the unitary limit using a low-momentum ring diagram approach. By slightly tuning the meson-exchange CD-Bonn potential, neutron-neutron potentials with various $^1S_0$ scattering lengths such as $a_s=-12070fm$ and $+21fm$ are constructed. Such potentials are renormalized with rigorous procedures to give the corresponding $a_s$-equivalent low-momentum potentials $V_{low-k}$, with which the low-momentum particle-particle hole-hole ring diagrams are summed up to all orders, giving the ground state energy $E_0$ of neutron matter for various scattering lengths. At the limit of $a_s\to \pm \infty$, our calculated ratio of $E_0$ to that of the non-interacting case is found remarkably close to a constant of 0.44 over a wide range of Fermi-momenta. This result reveals an universality that is well consistent with the recent experimental and Monte-Carlo computational study on low-density cold Fermi gas at the unitary limit. The overall behavior of this ratio obtained with various scattering lengths is presented and discussed. Ring-diagram results obtained with $V_{low-k}$ and those with $G$-matrix interactions are compared.
Kuo Thomas T. S.
Machleidt Ruprecht
Siu L.-W.
No associations
LandOfFree
Low-momentum ring diagrams of neutron matter at and near the unitary limit 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 Low-momentum ring diagrams of neutron matter at and near the unitary limit, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Low-momentum ring diagrams of neutron matter at and near the unitary limit will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-365937