Impact of correlations on nuclear binding energies
KU Leuven（荷语鲁汶大学）；ExtreMe Matter Institute EMMI, GSI Helmholtzzentrum für Schwerionenforschung GmbH（极端物质研究所EMMI，GSI重离子研究中心有限公司）；Max-Planck-Institut für Kernphysik（马克斯·普朗克核物理研究所）；IRFU, CEA, Université Paris-Saclay（IRFU，法国原子能和替代能源委员会，巴黎萨克雷大学）；CEA, DES, IRESNE, DER, SPRC, LEPh（法国原子能和替代能源委员会，DES，IRESNE，DER，SPRC，LEPh）；Technische Universität Darmstadt（达姆施塔特工业大学）
Alberto Scalesi, Thomas Duguet, Pepijn Demol, Mikael Frosini, Vittorio Somà, Alexander Tichai
A strong effort will be dedicated in the coming years to extend the reach of ab initio nuclear-structure calculations to heavy doubly open-shell nuclei. In order to do so, the most efficient strategies to incorporate dominant many-body correlations at play in such nuclei must be identified. With this motivation in mind, the present work pedagogically analyses the inclusion of many-body correlations and their impact on binding energies of Calcium and Chromium isotopes. Employing an empirically-optimal Hamiltonian built from chiral effective field theory, binding energies along both isotopic chains are studied via a hierarchy of approximations based on polynomially-scaling expansion many-body methods. The corresponding results are compared to experimental data and to those obtained via valence-space in-medium similarity renormalization group calculations at the normal-ordered two-body level that act as a reference in the present study. The spherical mean-field approximation is shown to display specific shortcomings in Ca isotopes that can be understood analytically and that are efficiently corrected via the consistent addition of low-order dynamical correlations on top of it. While the same setting cannot appropriately reproduce binding energies in doubly open-shell Cr isotopes, allowing the unperturbed mean-field state to break rotational symmetry permits to efficiently capture the static correlations responsible for the phenomenological differences observed between the two isotopic chains. Eventually, the present work demonstrates in a pedagogical way that polynomially-scaling expansion methods based on unperturbed states that possibly break (and restore) symmetries constitute an optimal route to extend ab initio calculations to heavy closed- and open-shell nuclei.
Proton-neutron pairing and binding energies of nuclei close to N=Z line
本文分析了等矢量和等压线质子-中子配对对具有$N-Z=0,2,4$和原子质量$20 < A <100$的偶偶核结合能的贡献。结合能的平均场方法计算通过耦合Skyrme型功能的零范围的isovector-isoscope配对力。后者是在四重态凝聚模型（QCM）的框架下处理的，它精确地保持了粒子数和同位旋。通过自洽Skyrme-HF+QCM计算，考虑了内禀系统中的配对和变形的相互依赖性。结果表明，当等势配对开启时，结合能变化不大，这与配对力的非对角矩阵元对等势配对力的吸引力较小以及等势配对通道与等矢量配对通道之间的竞争有关.
Improvement in a phenomenological formula for ground state binding energies
已经修改了早期导出的基态结合能的唯象公式（International Journal of Modern Physics E { \bf 20}（2011）179）。这些参数是通过拟合最新的实验值表格获得的。主要的修改包括一个新的术语配对和引入一个新的中子幻数在$N=160$。新公式将均方根偏差降低到363 keV，比以前版本的公式有了很大的改进。
Effect of medium dependent binding energies on inferring the temperatures and freeze-out density of disassembling hot nuclear matter from cluster yields
我们探讨了在亚饱和密度下非对称核物质中轻团簇的丰度。随着密度的增加，由于介质效应，结合能和波函数被修改。Albergo，Costa，Costanzo和Rubbino（ACCR）从碎片产额确定热核源的温度和自由核子密度的方法，除了库仑效应和流动外，还包括了团簇性质的介质改变效应，当核物质密度大于10 $^{-3}$ fm $^{-3}$时，这种效应就变得很重要。我们展示了如何集群产量的分析，推断温度和核子密度，是修改的，如果在介质集群的结合能的变化。虽然，在低密度，从给定的产量计算的温度变化不大，如果考虑到介质的影响，较大的差异时，观察到的核子密度确定从测量的产量。
Nuclear binding, correlations, and the $A$-dependence of the EMC effect
INFN, Sezione di Roma（意大利国家核物理研究所罗马分部）；Argonne National Laboratory（阿贡国家实验室）；INFN-TIFPA Trento Institute for Fundamental Physics and Applications（意大利国家核物理研究所-特伦托基础物理与应用研究所）；Instituto de Física Corpuscular (IFIC), Consejo Superior de Investigaciones Científicas (CSIC) and Universidad de Valencia（粒子物理研究所（IFIC），西班牙高等科学研究委员会（CSIC）和瓦伦西亚大学）
Shell-model study on properties of proton dripline nuclides with Z, N = 30-50 including uncertainty analysis
基于壳层模型，用统计方法进行了不确定度分析，研究了核素与$Z, N = 30-50$的结合能和质子分离能。根据壳层模型计算，采用了几个计算公式来计算结合能和质子分离能。应用非参数Bootstrap方法建立了一个不确定性分解与重组框架。此外，它被用来估计每个核素的质子发射的稳定性。提出了两个计算结合能的公式，其系统不确定度为$\sim0.3$ MeV，并检验了可靠的外推能力。这些结合能公式推导出相应的$S_{p}$和$S_{2p}$能量的类似形式，预测该区域的核边界的扩展。给出了结合能和质子分离能的精确描述。计算了单、双质子分离能和质子发射的部分半衰期，给出了一条新的滴线。此外，还有30种不稳定核素被预测与质子发射有关。这些性质在核天体物理学中将是有用的。
