Theoretical Division, Los Alamos National Laboratory, Los Alamos, New Mexico 87545, USA.
Institut für Theoretische Physik II, Ruhr-Universität Bochum, 44780 Bochum, Germany.
Phys Rev Lett. 2014 Nov 7;113(19):192501. doi: 10.1103/PhysRevLett.113.192501. Epub 2014 Nov 4.
We present the first Green's function Monte Carlo calculations of light nuclei with nuclear interactions derived from chiral effective field theory up to next-to-next-to-leading order. Up to this order, the interactions can be constructed in a local form and are therefore amenable to quantum Monte Carlo calculations. We demonstrate a systematic improvement with each order for the binding energies of A=3 and A=4 systems. We also carry out the first few-body tests to study perturbative expansions of chiral potentials at different orders, finding that higher-order corrections are more perturbative for softer interactions. Our results confirm the necessity of a three-body force for correct reproduction of experimental binding energies and radii, and pave the way for studying few- and many-nucleon systems using quantum Monte Carlo methods with chiral interactions.
我们呈现了首例使用手征有效场理论推导出的核相互作用的格林函数蒙特卡罗计算,计算涵盖了次近邻到次近邻再下一个次的高阶项。在这个阶次,相互作用可以被构造为局部形式,因此可以进行量子蒙特卡罗计算。我们展示了 A=3 和 A=4 系统的结合能在每阶计算中都有系统的提升。我们还进行了少数体的初步检验,研究了不同阶次的手征势的微扰展开,发现高阶修正对手征相互作用的软化更为有效。我们的结果证实了需要三体力来正确重现实验的结合能和半径,为使用手征相互作用的量子蒙特卡罗方法研究少核子和多核子系统铺平了道路。