Eur. Phys. J. A (2020) 56: 119
https://doi.org/10.1140/epja/s10050-020-00097-w

Regular Article - Theoretical Physics

Renormalization of pionless effective field theory in the A-body sector

¹ IRFU, CEA, Université Paris-Saclay, 91191, Gif-sur-Yvette, France
² Present address: Department of Physics, University of Surrey, Guildford, GU2 7XH, UK
³ KU Leuven, Institut voor Kern- en Stralingsfysica, 3001, Leuven, Belgium

^* e-mail: m.drissi@surrey.ac.uk

Received: 21 August 2019
Accepted: 5 December 2019
Published online: 23 April 2020

Abstract

Current models of inter-nucleon interactions are built within the frame of Effective Field Theories (EFTs). Contrary to traditional nuclear potentials, EFT interactions require a renormalization of their parameters in order to derive meaningful estimations of the observables. In this paper, a renormalization procedure is designed in connection with many-body approximations applicable to large- systems and formulated within the frame of many-body perturbation theory. The procedure is shown to generate counterterms that are independent of the targeted -body sector. As an example, the procedure is applied to the random phase approximation. This work constitutes one step towards the design of a practical EFT for many-body systems.