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arXiv 0712.2662nucl-th
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低密度中子物质与么正极限

Neutron matter at low density and the unitary limit

M. Baldo, C. Maieron

备注：
17 pages, 7 figures. To be published in Phys. Rev. C
发表信息：
Phys.Rev.C77:015801,2008
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摘要：

在孔线展开中研究了低密度中子物质。在费米动量$k_F$的范围内进行计算，在0.4和0.8 fm之间$^{-1}$。结果表明，状态方程仅由$^1S_0$通道决定，三体力的贡献很小，单粒子势的影响可以忽略不计，三条空穴线的贡献小于总能量的5%，并且在密度较低时几乎为零.尽管实际上从未达到酉极限，但在所考虑的密度范围内，总能量保持非常接近自由气体值的一半。裸NN相互作用，再现的物理散射长度和有效范围的秩一可分离的表示，给出的结果几乎无法区分从完整的Brueckner G-矩阵计算与现实的力量。在$k_F = 0.4$ fm $^{-1}$以下的计算的扩展并不表明中子状态方程的任何病态行为。

英文摘要：

Neutron matter at low density is studied within the hole-line expansion. Calculations are performed in the range of Fermi momentum $k_F$ between 0.4 and 0.8 fm$^{-1}$. It is found that the Equation of State is determined by the $^1S_0$ channel only, the three-body forces contribution is quite small, the effect of the single particle potential is negligible and the three hole-line contribution is below 5% of the total energy and indeed vanishing small at the lowest densities. Despite the unitary limit is actually never reached, the total energy stays very close to one half of the free gas value throughout the considered density range. A rank one separable representation of the bare NN interaction, which reproduces the physical scattering length and effective range, gives results almost indistinguishable from the full Brueckner G-matrix calculations with a realistic force. The extension of the calculations below $k_F = 0.4$ fm$^{-1}$ does not indicate any pathological behavior of the neutron Equation of State.

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