$J/\psi$ Production versus Transverse Momentum and Rapidity in $p+p$ Collisions at $\sqrt{s}=200\mathrm{GeV}$

$J/\psi$ production in $p+p$ collisions at $\sqrt{s}=200\mathrm{GeV}$ has been measured by the PHENIX experiment at the BNL Relativistic Heavy Ion Collider over a rapidity range of $-2.2<y<2.2$ and a transverse momentum range of $0<p_T<9\mathrm{GeV}/c$. The size of the present data set allows a detailed measurement of both the $p_T$ and the rapidity distributions and is sufficient to constrain production models. The total cross section times the branching ratio is $B_{ll}{\sigma }_{\mathrm{pp}}^{J/\psi }=178\pm 3^{\mathrm{stat}}\pm {53}^{\mathrm{sys}}\pm {18}^{\mathrm{norm}}\mathrm{nb}$.

Figure 1

Invariant mass spectra for (a) $J/\psi \to e^{+}{e}^{-}$ at $|y|<0.35$ and (b) $J/\psi \to {\mu }^{+}{\mu }^{-}$ at $1.2<|y|<2.2$ with the functional forms used to extract the number of reconstructed $J/\psi$ mesons.

Figure 2

(a) The forward rapidity (circles) and midrapidity (squares) $J/\psi$ meson differential cross section times the dilepton branching ratio versus $p_T$ and (b) the ratio of the forward and midrapidity $p_T$ spectra.

Figure 3

PHENIX $⟨p_T^2⟩$ measurements compared to measurements at other energies [2, 4, 19] as a function of collision energy for $J/\psi$ meson production in $p+p$ or $p+A$ collisions.

Figure 4

The $J/\psi$ differential cross section times the dilepton branching ratio plotted versus rapidity.