We present a calculation of the β-term for D * → Dγ within a heavy-light chiral quark model. Within the model, soft gluon effects in terms of the gluon condensate with lowest dimension are included. Also, calculations of 1/m c corrections are performed. We find that the value of β is rather sensitive to the constituent quark mass compared to other quantities calculated within the same model. Also, to obtain a value close to the experimental value, one has to choose a constituent light quark mass larger than for other quantities studied in previous papers. For a light quark mass in the range 250 to 300 MeV and a quark condensate in the range -(250 -270 MeV) 3 we find the value (2.5 ± 0.6) GeV −1 . This value is in agreement with the value of β extracted from experiment (2.7 ± 0.2) GeV −1 .
I. INTRODUCTIONStrong and electromagnetic interactions involving heavy and light mesons and photons may be described by heavy-light chiral Lagrangians [1]. Such Lagrangians are determined by chiral symmetry in the light sector in addition to heavy quark symmetry. However, the coupling constants of the terms in the Lagrangian are in general unknown. In this paper we focus on the so called β-term for D * → Dγ, which is studied in [2,3,4]. This term in the Lagrangian is also relevant for calculation of processes like D 0 → 2γ [5], and D 0 → e + e − γ [6].Within chiral perturbation theory alone, the value of β is not determined. In this paper we will calculate the β-term to order 1/m c within a Heavy-Light Chiral Quark Model (HLχQM) developed recently [7]. This model belongs to a class of quark loop models [8,9,10] where * Electronic address: aksel.hiorth@fys.uio.no; Electronic address: j.o.eeg@fys.uio.no