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Equation of State
Ground State Energy
Interactive System
Sum Rules
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Unitarity potentials and neutron matter at the unitary limit
Unitarity potentials and neutron matter at the unitary limit,10.1103/PhysRevC.81.034003,Physical Review C,Huan Dong,L.W. Siu,T. T. S. Kuo,R. Machleid
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Unitarity potentials and neutron matter at the unitary limit
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Huan Dong
,
L.W. Siu
,
T. T. S. Kuo
,
R. Machleidt
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 groundstate energy of the system, and $E_0^{free}$ is that for the noninteracting 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 hardcore squarewell 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 sumrule and scaling constraint for the renormalized lowmomentum interaction in neutron matter at the unitary limit is discussed.
Journal:
Physical Review C  PHYS REV C
, vol. 81, no. 3, 2010
DOI:
10.1103/PhysRevC.81.034003
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References
(2)
Nuclear Collective Motion
(
Citations: 28
)
A. KLEIN
Journal:
Science
, vol. 207, no. 4429, pp. 398398, 1980
Quantum Theory of ManyParticle Systems
(
Citations: 1959
)
A. L. Fetter
,
J. D. Walecka
Published in 1971.