Motivated by the weak-strong coupling expansion [B. Rosenstein, Phys. Lett. B 351 (1995) 284], we calculate the spectrum of hadrons using a systematic 1/d (d-dimensionality of spacetime) in addition to a strong coupling expansion in β. The 1/d expansion is pushed to the next to leading order in 1/d for mesons and next to next to leading order for baryons. We do the calculation using Wilson fermions with arbitrary r and show that doubters decouple from the spectrum only when r is close to the Wilson value r = 1. For these r the spectrum is much closer to the lattice results and the phenomenological values than those obtained by using either the (nonsystematic) "random walk" approximation or the hopping parameter expansion. In particular, the value of the nucleon to ρ-meson mass ratio is lowered to (3 log d - 1/4)/(2arccosh2) + O(1/d) ≈ 1.48. The result holds even for β as large as 5, where the weak-strong coupling expansion is applicable and therefore these results are expected to be reasonable.
|Number of pages||7|
|Journal||Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics|
|State||Published - 4 Jan 1996|