Eur. Phys. J. A (2007) 31: 698-700
https://doi.org/10.1140/epja/i2006-10269-3

QNP 2006

Multichannel calculation of the very narrow D_s0 ^*(2317) and the very broad D₀ ^*(2300-2400)

¹ Centro de Fısica das Interacções Fundamentais, Instituto Superior Técnico, P-1049-001, Lisboa, Portugal
² Centro de Fısica Teórica, Departamento de Fısica, Universidade de Coimbra, P-3004-516, Coimbra, Portugal

^* e-mail: george@ist.utl.pt

Received: 8 December 2006
Accepted: 15 December 2006
Published online: 15 March 2007

Abstract

The narrow D _s0 ^* (2317) and broad D ₀ ^* (2300-2400) charmed scalar mesons and their radial excitations are described in a coupled-channel quark model that also reproduces the properties of the light scalar nonet. All two-meson channels containing ground-state pseudoscalars and vectors are included. The parameters are chosen fixed at published values, except for the overall coupling constant λ, which is fine-tuned to reproduce the D _s0 ^* (2317) mass, and a damping constant α for subthreshold contributions. Variations of λ and D ₀ ^* (2300-2400) pole postions are studied for different α values. Calculated cross-sections for S-wave DK and Dπ scattering, as well as resonance pole positions, are given for the value of α that fits the light scalars. The thus predicted radially excited state D _s0 ^*′(2850), with a width of about 50MeV, seems to have been observed already.