Eur. Phys. J. A (2012) 48: 146
https://doi.org/10.1140/epja/i2012-12146-x

Regular Article - Theoretical Physics

The DN, πΣ_c interaction in finite volume and the Λ_c(2595) resonance

¹ Department of Physics, Zhengzhou University, Zhengzhou, 450001, Henan, China
² Departamento de Física Teórica and IFIC, Centro Mixto Universidad de Valencia-CSIC, Institutos de Investigación de Paterna, Aptdo. 22085, 46071, Valencia, Spain

^* e-mail: xiejujun@ihep.ac.cn

Received: 24 May 2012
Revised: 23 August 2012
Accepted: 24 September 2012
Published online: 24 October 2012

Abstract

In this work the interaction of the coupled channels DN and πΣ _c in an SU(4) extrapolation of the chiral unitary theory, where the Λ _c (2595) resonance appears as dynamically generated from that interaction, is extended to produce results in finite volume. Energy levels in the finite box are evaluated and, assuming that they would correspond to lattice results, the inverse problem of determining the phase shifts in the infinite volume from the lattice results is solved. We observe that it is possible to obtain accurate πΣ _c phase shifts and the position of the Λ _c (2595) resonance, but it requires the explicit consideration of the two coupled channels. We also observe that some of the energy levels in the box are attached to the closed DN channel, such that their use to induce the πΣ _c phase shifts via Lüscher's formula leads to incorrect results.