arXiv 2106.012492021-06nucl-thnucl-ex

核短程关联的相空间分布

Phase-space distributions of nuclear short-range correlations

W. Cosyn, J. Ryckebusch

备注：: 10 pages, 6 figures; revised version with updated Fig.1, matches published version
发表信息：: Physics Letters B 820, 136526 (2021)
DOI：: 10.1016/j.physletb.2021.136526

摘要：

核短程关联在核介质中引起高动量/高能涨落。为了评估它们对核体积性质（如核半径和动能）的影响，确定SRC在相空间中的分布是很有帮助的，因为这揭示了它们在坐标和动量空间中的外观之间的联系。使用最低阶相关算子近似（LCA），包括SRC，我们计算二维核维格纳准概率分布$w(r, k)$定位那些$({r}, {k})$相空间区域，最严重的影响SRC。SRC引起的高动量分量发现它们的起源在一个径向范围内，仅限于核内部。显着的SRC强度产生在整个动量范围$0 \leq k \lesssim 5 ~\text{fm}^{-1} $在这项工作中，但低于费米动量的平均场的贡献相形见绌。作为$w(r, k)$的一个应用，我们着重研究了对称核$^{12}$ C，$^{40}$ Ca和非对称核$^{48}$ Ca的动能$T$的径向依赖性和半径$r_{\text{rms}}$的动量依赖性.包括SRC后，动能几乎加倍，最大的增加发生在核内部$r \lesssim 2$ fm。$r_{\text{rms}}$的动量依赖性教导了最大的贡献源于$k \lesssim 2 $ fm $^{-1}$，其中SRC引起几个百分比量级的轻微减小。SRC系统地减少$^{48}$ Ca中子皮的量可以是10%。

英文摘要：

Nuclear short-range correlations (SRCs) induce high-momentum/high-energy fluctuations in the nuclear medium. In order to assess their impact on nuclear bulk properties, like nuclear radii and kinetic energies, it is instrumental to determine how SRCs are distributed in phase space as this sheds light on the connection between their appearance in coordinate and momentum space. Using the lowest-order correlation operator approximation (LCA) to include SRC, we compute two-dimensional nuclear Wigner quasiprobability distributions $w(r, k)$ to locate those $({r}, {k})$ phase-space regions that are most heavily impacted by SRCs. The SRC-induced high-momentum components find their origin in a radial range that is confined to the nuclear interior. Significant SRCs strength is generated in the full momentum range $0 \leq k \lesssim 5 ~\text{fm}^{-1} $ covered in this work, but below the Fermi momentum those are dwarfed by the mean-field contributions. As an application of $w(r, k)$, we focus on the radial dependence of the kinetic energy $T$ and the momentum dependence of the radius $r_{\text{rms}}$ for the symmetric nuclei $^{12}$C, $^{40}$Ca and the asymmetric nucleus $^{48}$Ca. The kinetic energy almost doubles after including SRCs, with the largest increase occurring in the nuclear interior $r \lesssim 2$ fm. The momentum dependence of the $r_{\text{rms}}$ teaches that the largest contributions stem from $k \lesssim 2 $ fm$^{-1}$, where the SRCs induce a slight reduction of the order of a few percent. The SRCs systematically reduce the $^{48}$Ca neutron skin by an amount that can be 10\%.

机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。

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