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稀释费米气体中的超标度及其与核子动量分布一般性质的关系

Superscaling in dilute Fermi gas and its relation to general properties of the nucleon momentum distribution in nuclei

A. N. Antonov, M. V. Ivanov, M. K. Gaidarov, E. Moya de Guerra

备注：
6 pages, 5 figures, accepted for publication in Physical Review C
发表信息：
Phys.Rev.C75:034319,2007
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摘要：

在粒子间相互作用的稀费米气体模型内描述了在包含电子散射中观察到的超标度。与不考虑相互作用的相对论性费米气体（RFG）模型的比较表明，RFG模型对$ψ' < -1$区域的标度函数$f(ψ')$的解释得到了改进，RFG模型的结果是$f(ψ') = 0$ .研究发现，$f(ψ')$对$ψ' < -1$的行为依赖于动量分布$n(k)\sim 1/ k^{4+m}$在大$k$下的一般幂律渐近的特定形式.与经验标度函数的最佳协议被发现为$m\simeq 4.5$与$n(k)$的渐近一致的相干密度涨落模型，其中$m = 4$。因此，超标度给出了关于$n(k)$和NN力的渐近性的信息。

英文摘要：

The superscaling observed in inclusive electron scattering is described within the dilute Fermi gas model with interaction between the particles. The comparison with the relativistic Fermi gas (RFG) model without interaction shows an improvement in the explanation of the scaling function $f(ψ')$ in the region $ψ' < -1$, where the RFG result is $f(ψ') = 0$. It is found that the behavior of $f(ψ')$ for $ψ' < -1$ depends on the particular form of the general power-law asymptotics of the momentum distribution $n(k)\sim 1/ k^{4+m}$ at large $k$. The best agreement with the empirical scaling function is found for $m\simeq 4.5$ in agreement with the asymptotics of $n(k)$ in the coherent density fluctuation model where $m = 4$. Thus, superscaling gives information about the asymptotics of $n(k)$ and the NN forces.

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