Abstract
We investigate the mass spectra of ordinary heavy mesons, based on a nonrelativistic potential approach. The heavy-light quark potential contains the Coulomb-type potential arising from one-gluon exchange, the confining potential, and the instanton-induced nonperturbative local heavy-light quark potential. All parameters are theoretically constrained and fixed. We carefully examine the effects from the instanton vacuum. Within the present form of the local potential from the instanton vacuum, we conclude that the instanton effects are rather marginal on the charmed mesons.
Highlights
The structure of hadrons containing a heavy quark is systematically understood when the mass of the heavy quark is taken to infinity
Instead of a simple variational method used in Ref. [34], we employ a more elaborated and sophisticated framework, i.e. the Gaussian expansion method (GEM), which is well known for the successful description of two- and few-body systems [35,36,37,38], so that we reduce numerical uncertainties arising from the simple variational method
In Ref. [34], the mass spectra of the heavy mesons were already studied within a simple variational method, the potential from the instanton vacuum and the potential of the simple harmonic oscillator being combined
Summary
The structure of hadrons containing a heavy quark is systematically understood when the mass of the heavy quark is taken to infinity. A new type of symmetry arises: the physics is not changed by the exchange of the heavy-quark flavor. In this limit, the spin of the heavy quark SQ is conserved, which brings about the spin conservation of the light degrees of freedom SL. The heavy quark is entirely decoupled from the internal dynamics of a heavy hadron in the limit of mQ → ∞ and the interaction among light degrees of freedom becomes spin-independent. The spin-dependent part of the interaction appears as the next-to-leading order in the 1/mQ expansion, which is proportional to 1/mQ and stems from the chromomagnetic moment of the quark (see, for example, reviews [4,5,6,7] and books [8, 9])
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