The leading twist light-cone distribution amplitudes for the S-wave and P-wave quarkonia and their applications in single quarkonium exclusive productions

Abstract

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In this paper, we calculate twist-2 light-cone distribution amplitudes (LCDAs) of the S-wave and P-wave quarkonia (namely ^sup 1^ S ^sub 0^ state [eta] ^sub Q^, ^sup 3^ S ^sub 1^ state ..., ^sup 1^ P ^sub 1^ state h ^sub Q^ and ^sup 3^ P ^sub J^ states [chi] ^sub QJ^ with J = 0, 1, 2 and Q = c, b) to the next-leading order of the strong coupling [alpha] ^sub s^ and leading order of the velocity expansion v in the non-relativistic QCD (NRQCD). We apply these LCDAs to some single quarkonium exclusive productions at large center-of-mass energy, such as γ ^sup *^ [arrow right] [eta] ^sub Q^ γ, [chi] ^sub QJ^ γ (J = 0, 1, 2), Z [arrow right] [eta] ^sub Q^ γ, [chi] ^sub QJ^ γ (J = 0, 1, 2), ... , h ^sub Q^ γ and h [arrow right] J/[psi]γ, by adopting the collinear factorization. The asymptotic behaviors of those processes obtained in NRQCD factorization are reproduced.