Physics – Nuclear Physics – Nuclear Theory
Scientific paper
2009-12-02
Physics
Nuclear Physics
Nuclear Theory
7.5 pages, 7 figures
Scientific paper
We study the equation of state of neutron matter using a family of unitarity potentials all of which are constructed to have infinite $^1S_0$ scattering lengths $a_s$. For such system, a quantity of much interest is the ratio $\xi=E_0/E_0^{free}$ where $E_0$ is the true ground-state energy of the system, and $E_0^{free}$ is that for the non-interacting system. In the limit of $a_s\to \pm \infty$, often referred to as the unitary limit, this ratio is expected to approach a universal constant, namely $\xi\sim 0.44(1)$. In the present work we calculate this ratio $\xi$ using a family of hard-core square-well potentials whose $a_s$ can be exactly obtained, thus enabling us to have many potentials of different ranges and strengths, all with infinite $a_s$. We have also calculated $\xi$ using a unitarity CDBonn potential obtained by slightly scaling its meson parameters. The ratios $\xi$ given by these different unitarity potentials are all close to each other and also remarkably close to 0.44, suggesting that the above ratio $\xi$ is indifferent to the details of the underlying interactions as long as they have infinite scattering length. A sum-rule and scaling constraint for the renormalized low-momentum interaction in neutron matter at the unitary limit is discussed.
Dong Huan
Kuo Thomas T. S.
Machleidt Ruprecht
Siu L.-W.
No associations
LandOfFree
Unitarity potentials and neutron matter at 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 Unitarity potentials and neutron matter at the unitary limit, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Unitarity potentials and neutron matter at the unitary limit will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-508009