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"We present a new analytic expression for turbulent equipartition  TEP  pinch of toroidal angular momentum originating from magnetic field inhomogeneity of spherical torus  ST  plasmas  Starting from a conservative modern nonlinear gyrokinetic equation  Hahm et al 1988 Phys  Fluids 31 2670   we derive an expression for pinch to momentum diffusivity ratio without using a usual tokamak approximation of B   1 R which has been previously employed for TEP momentum pinch derivation in tokamaks  Hahm et al 2007 Phys  Plasmas 14 072302   Our new formula is evaluated for model equilibria of National Spherical Torus eXperiment  NSTX   Ono et al 2001 Nucl  Fusion 41 1435  and Versatile Experiment Spherical Torus  VEST   Chung et al 2013 Plasma Sci  Technol  15 244  plasmas  Our result predicts stronger inward pinch for both cases  as compared to the prediction based on the tokamak formula "
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