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arXiv 1111.1924nucl-th
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手征三核子力作用下核物质中的准粒子相互作用

Quasiparticle interaction in nuclear matter with chiral three-nucleon forces

J. W. Holt, N. Kaiser, W. Weise

摘要:

本文导出了对称核物质中两个准粒子间由首阶手征三核子力引起的有效相互作用。我们限制我们的研究,L = 0,1朗道参数的中心准粒子相互作用计算到一阶。我们发现,三核子力在各向同性自旋和同位旋独立的相互作用分量F_0中提供了相当大的排斥。这种斥力的作用是稳定核物质,使其不受等密度振荡的影响,这一特性在仅采用低动量两核子相互作用的计算中是不存在的。我们发现,由于对低能常数c_3的敏感依赖,核压缩模量有相当大的不确定性。费米面上的核子有效质量以及核对称能只受到首阶手征三体力的微小修正。反常轨道g因子和表征核物质自旋-同位旋响应的Landau-Migdal参数g '_{NN}都随着三核子关联的增加而减小。事实上,反常轨道g因子仍然明显小于从实验数据中提取的值,而g '_{NN}仍然与经验值比较好。三核子力的引入导致中心准粒子相互作用中相对较小的p波(L = 1)分量,从而表明有效的短程相互作用。

英文摘要:

We derive the effective interaction between two quasiparticles in symmetric nuclear matter resulting from the leading-order chiral three-nucleon force. We restrict our study to the L=0,1 Landau parameters of the central quasiparticle interaction computed to first order. We find that the three-nucleon force provides substantial repulsion in the isotropic spin- and isospin-independent component F_0 of the interaction. This repulsion acts to stabilize nuclear matter against isoscalar density oscillations, a feature which is absent in calculations employing low-momentum two-nucleon interactions only. We find a rather large uncertainty for the nuclear compression modulus due to a sensitive dependence on the low-energy constant c_3. The effective nucleon mass on the Fermi surface, as well as the nuclear symmetry energy, receive only small corrections from the leading-order chiral three-body force. Both the anomalous orbital g-factor and the Landau-Migdal parameter g'_{NN} (characterizing the spin-isospin response of nuclear matter) decrease with the addition of three-nucleon correlations. In fact, the anomalous orbital g-factor remains significantly smaller than its value extracted from experimental data, whereas g'_{NN} still compares well with empirical values. The inclusion of the three-nucleon force results in relatively small p-wave (L=1) components of the central quasiparticle interaction, thus suggesting an effective interaction of short range.

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