Microscopic determination of the nuclear incompressibility within the nonrelativistic framework
Microscopic determination of the nuclear incompressibility within the nonrelativistic framework
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DOI：
10.1103/physrevc.70.024307
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发表时间：
2004-03
影响因子：
3.1
通讯作者：
G. Colò;N. Giai;J. Meyer;K. Bennaceur;P. Bonche
中科院分区：
文献类型：
--
作者：
G. Colò;N. Giai;J. Meyer;K. Bennaceur;P. Bonche
通过测量中重核的等标量巨单极子共振（ISGMR），推导出核不可压缩性${K}_{\ensuremath{\infty}}$值，结果表明该值与模型有关。由于所考虑的核有中子过剩，有人认为模型依赖是由于不同模型中对称能的不同行为。为了澄清这个问题，我们基于新的Skyrme力进行了系统和仔细的分析，这些力跨越${K}_{\ensuremath{\infty}}$的广泛值，用于饱和时对称能的值及其密度依赖性。通过以完全自一致的方式计算$^{208}\mathrm{Pb}$中的ISGMR质心能量，我们得出了三个重要结论：(i)单极子能量，以及由此推导出的${K}_{\ensuremath{\infty}}$的值，取决于与对称能量曲线形状相关的一个定义良好的参数，称为${K}_{\mathit{sym}}$；（ii） sl4类型的Skyrme力预测${K}_{\ensuremath{\infty}}$在$230\phantom{\rule{0.3em}{0ex}}\mathrm{MeV}$左右，与Gogny力一致（以前使用Skyrme相互作用的估计因缺乏完全自洽性而受到困扰）；（iii）有可能在$250\phantom{\rule{0.3em}{0ex}}\mathrm{MeV}$附近建立预测${K}_{\ensuremath{\infty}}$的力，尽管这种增加的部分原因是由于我们对密度依赖和有效质量的了解不足。
The nuclear incompressibility ${K}_{\ensuremath{\infty}}$ is deduced from measurements of the isoscalar giant monopole resonance (ISGMR) in medium-heavy nuclei, and the resulting value turns out to be model dependent. Since the considered nuclei have neutron excess, it has been suggested that the model dependence is due to the different behavior of the symmetry energy in different models. To clarify this issue, we make a systematic and careful analysis based on new Skyrme forces, which span a wide range of values for ${K}_{\ensuremath{\infty}}$, for the value of the symmetry energy at saturation and for its density dependence. By calculating, in a fully self-consistent fashion, the ISGMR centroid energy in $^{208}\mathrm{Pb}$, we reach three important conclusions: (i) the monopole energy, and consequently the deduced value of ${K}_{\ensuremath{\infty}}$, depend on a well-defined parameter related to the shape of the symmetry energy curve and called ${K}_{\mathit{sym}}$; (ii) Skyrme forces of the type of SLy4 predict ${K}_{\ensuremath{\infty}}$ around $230\phantom{\rule{0.3em}{0ex}}\mathrm{MeV}$, in agreement with the Gogny force (previous estimates using Skyrme interactions having been plagued by a lack of full self-consistency); (iii) it is possible to build forces which predict ${K}_{\ensuremath{\infty}}$ around $250\phantom{\rule{0.3em}{0ex}}\mathrm{MeV}$, although part of this increase is due to our poor knowledge of the density dependence and effective mass.