Effective Theory for the non-relativistic three-body System
H. -W. Hammer
Abstract
We discuss renormalization of the non-relativistic three-body problem with short-range forces. The problem becomes non-perturbative at momenta of the order of the inverse of the two-body scattering length, and an infinite number of graphs must be summed. This summation leads to a cutoff dependence that does not appear in any order in perturbation theory. We argue that this cutoff dependence can be absorbed in a single three-body counterterm and compute the running of the three-body force with the cutoff.
Create a lesson
Related papers
Scale Invariance and Compact Star Matter
Hyun Kyu Lee, Won-Gi Paeng
Optimizing artificial neural networks for dipole strength predictions in light nuclei
Tim Egert, Weiguang Jiang, Sonia Bacca
Coupled-channel scattering from artificial confinement
Tafat Weiss Attia, Itay Horin, Betzalel Bazak
From twelve to three active qubits: Ancilla-recycled rodeo filtering for trapped neutron-proton scattering
Myeong-Hwan Mun, Jubin Park, Myung-Ki Cheoun et al.
Single-particle potentials in asymmetric nuclear matter within the LOCV framework
Zahra Ziarati, Hamidreza Moshfegh
Frontier Questions and Emerging Directions in Nuclear Science and Technology
Yu-Gang Ma