Three-body resonances in pionless effective field theory
Three-body resonances in pionless effective field theory
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DOI：
10.1103/physrevc.105.064002
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发表时间：
2021-09
影响因子：
3.1
通讯作者：
S. Dietz;H. Hammer;S. Konig;A. Schwenk
中科院分区：
文献类型：
--
作者：
S. Dietz;H. Hammer;S. Konig;A. Schwenk
我们使用主导阶的无π有效场理论和两种互补的方法研究了三体系统中共振的出现。使用轮廓旋转将 Faddeev 方程解析延续至与正实际能量轴相邻的非物理片。我们考虑三玻色子系统和三中子系统。对于前者，我们计算了博罗米安三体 Efimov 态在跨越三体阈值时转变为共振的轨迹。对于后者，我们没有发现三体共振或主序虚态的迹象。通过以有限体积方法探索三体态的能级结构，验证了该结果。
We investigate the appearance of resonances in three-body systems using pionless effective field theory at leading order with two complementary methods. The Faddeev equation is analytically continued to the unphysical sheet adjacent to the positive real energy axis using a contour rotation. We consider both the three-boson system and the three-neutron system. For the former, we calculate the trajectory of Borromean three-body Efimov states turning into resonances as they cross the three-body threshold. For the latter, we find no sign of three-body resonances or virtual states at leading order. This result is validated by exploring the level structure of three-body states in a finite volume approach.