arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 1404.0744nucl-thastro-ph.SR
收藏

有限核和核物质中的不可压缩性

Incompressibility in finite nuclei and nuclear matter

J. R. Stone, N. J. Stone, S. A. Moszkowski

备注：
26 pages, 13 figures; corrected minor typos in line with the proof in Phys. Rev. C
发表信息：
Phys. Rev. C89, 044316 (2014)
阅读 PDF
arXiv 页面 ↗HTML 原文 ↗

摘要：

无限大对称核物质在饱和密度下的不可压缩性（压缩模量）$K_{\rm 0}$已成为核多体系统平均场模型以及天体物理和重离子碰撞中高密度物质模型的主要约束之一。我们提出了一个全面的重新分析最近的数据巨磁电阻能量在偶-偶$^{\rm 112-124}$锡和$^{\rm 106,100-116}$镉和早期的数据58 $\le$ A $\le$ 208核。有限核$K_{\rm A}$的不可压缩性表示为具有体积、表面、同位旋和库仑系数$K_{\rm vol}$、$K_{\rm surf}$、$K_τ$和$K_{\rm coul}$的薄皮展开式。\textit{Assuming}表示体积系数$K_{\rm vol}$与$K_{\rm 0}$相同，$K_{\rm coul}$ = -（5.2 $\pm$ 0.7）MeV，忽略膨胀中曲率项K $_{\rm curv}$ A $^{\rm -2/3}$的贡献，发现$K_{\rm 0}$在250 $ < K_{\rm 0} < $ ~ 315 MeV范围内的令人信服的证据，表面系数和体积系数之比$c = K_{\rm surf}/K_{\rm vol}$在-2.4和-1.6之间，$K_{\rm τ}$在-840和-350 MeV之间。我们表明，普遍接受的$K_{\rm 0}$ =（240 $\pm$ 20）MeV的值可以从$c \sim$-1提供的拟合，大多数平均场模型预测。然而，如果允许$c$变化，则拟合得到显著改善，从而导致$K_{\rm 0}$的范围扩展到更高的值。一个自洽的简单的（玩具）模型已经开发，这表明，密度依赖的表面扩散的振动核起着重要的作用，在确定的比例K $_{\rm surf}/K_{\rm vol}$，并产生与我们的研究结果一致的预测。

英文摘要：

The incompressibility (compression modulus) $K_{\rm 0}$ of infinite symmetric nuclear matter at saturation density has become one of the major constraints on mean-field models of nuclear many-body systems as well as of models of high density matter in astrophysical objects and heavy-ion collisions. We present a comprehensive re-analysis of recent data on GMR energies in even-even $^{\rm 112-124}$Sn and $^{\rm 106,100-116}$Cd and earlier data on 58 $\le$ A $\le$ 208 nuclei. The incompressibility of finite nuclei $K_{\rm A}$ is expressed as a leptodermous expansion with volume, surface, isospin and Coulomb coefficients $K_{\rm vol}$, $K_{\rm surf}$, $K_τ$ and $K_{\rm coul}$. \textit{Assuming} that the volume coefficient $K_{\rm vol}$ is identified with $K_{\rm 0}$, the $K_{\rm coul}$ = -(5.2 $\pm$ 0.7) MeV and the contribution from the curvature term K$_{\rm curv}$A$^{\rm -2/3}$ in the expansion is neglected, compelling evidence is found for $K_{\rm 0}$ to be in the range 250 $ < K_{\rm 0} < $ 315 MeV, the ratio of the surface and volume coefficients $c = K_{\rm surf}/K_{\rm vol}$ to be between -2.4 and -1.6 and $K_{\rm τ}$ between -840 and -350 MeV. We show that the generally accepted value of $K_{\rm 0}$ = (240 $\pm$ 20) MeV can be obtained from the fits provided $c \sim$ -1, as predicted by the majority of mean-field models. However, the fits are significantly improved if $c$ is allowed to vary, leading to a range of $K_{\rm 0}$, extended to higher values. A self-consistent simple (toy) model has been developed, which shows that the density dependence of the surface diffuseness of a vibrating nucleus plays a major role in determination of the ratio K$_{\rm surf}/K_{\rm vol}$ and yields predictions consistent with our findings.

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。

↑