arXiv 1910.030822019-10nucl-th

次次主导手征3 N-力的密度依赖NN-相互作用：中程贡献

Density-dependent NN-interaction from subsubleading chiral 3N-force: Intermediate-range contributions

N. Kaiser

备注：: 17 pages, 1 figure, to be published in Phys. Rev. C
发表信息：: Phys. Rev. C 101, 014001 (2020)
DOI：: 10.1103/PhysRevC.101.014001

摘要：

从亚次主导手征三核子力[中程贡献，发表在Phys.Rev.C1，87，054007（2013）中]导出了同位旋对称核物质中的密度依赖NN相互作用$V_\text{med}$。在将相关的3 N图划分为2 π-1 π交换拓扑和环拓扑之后，我们计算了核子线到介质环的所有自闭合和级联。在$2π1π$交换拓扑的情况下，与同位旋算符（$1$和$\vecτ_1 \!\cdot\! \vecτ_2$）和五个独立的自旋结构相关的动量和$k_f$依赖势最多需要一次数值积分。对于与$c_{1,2,3,4}$成比例的更具挑战性的（串联的）环图，最终得到正则化的双积分$\int_0^λdr\,r \int_0^{π/2} dψ$，其中已减去$λ^2$ -发散度，并隔离了对数部分$\sim \ln (m_π/λ)$。所得的半解析结果对于将亚亚主导手征3 N力应用于核多体计算是非常有帮助的。

英文摘要：

From the subsubleading chiral three-nucleon force [intermediate-range contributions, published in Phys. Rev. C\,87, 054007 (2013)] a density-dependent NN-interaction $V_\text{med}$ is derived in isospin-symmetric nuclear matter. Following the division of the pertinent 3N-diagrams into two-pion-one-pion exchange topology and ring topology, one evaluates for these all selfclosings and concatenations of nucleon-lines to an in-medium loop. In the case of the $2π1π$-exchange topology, the momentum- and $k_f$-dependent potentials associated with the isospin-operators ($1$ and $\vecτ_1 \!\cdot\! \vecτ_2$) and five independent spin-structures require at most one numerical integration. For the more challenging (concatenations of the) ring diagrams proportional to $c_{1,2,3,4}$, one ends up with regularized double-integrals $\int_0^λdr\,r \int_0^{π/2} dψ$ from which the $λ^2$-divergence has been subtracted and the logarithmic piece $\sim \ln (m_π/λ)$ is isolated. The derived semi-analytical results are most helpful to implement the subsubleading chiral 3N-forces into nuclear many-body calculations.

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。

摘要：

英文摘要：

相关论文