Yield of Particles in the Cumulative Region at Central Rapidities and Large Transverse Momenta at the NICA Collider

Dense Cold Quark-Gluon Matter Clusters and their Studies at the NICA Collider

“…Table 2. Pion and proton integrated multiplicities in the new cumulative region at x ∈ (1.6, 3.0) and y ∈ (−1, −0.5) (region C in Figures 1 and 2) for pAu collisions calculated with the transverse momentum dependences (11) and ( 14) obtained in the theoretical approach [16][17][18][19][20][21] (Theor) for initial energies of 4 and 8 GeV, and the same with the Gaussian dependence (7) used in the experimental works [9,10] (Gauss) and the exponential dependence (7) proposed in [31,32] (Exponent).…”

Dense Cold Quark–Gluon Matter Clusters and Their Study at the NICA Collider

“…Unfortunately, as shown in [31,32], although both approximations provide an adequate description of the experimental data [9,10] in the nucleus fragmentation region (region F in Figures 1 and 2), they provide very different results, especially at higher initial energy ( √ s NN = 8 GeV), when we use them to calculate particle yields in the new cumulative region of central rapidities and large transverse momenta (region C in Figures 1 and 2) available for study at the NICA MPD. In these figures, we depict the pseudorapidity acceptance (−1 < η < 1) of the MPD detector in the NN collision center of the mass frame.…”

“…for production of protons. Here, µ is the mass of the produced particle c, m is the nucleon mass, and s = (p 1 + p 2 ) 2 ≡ s NN (for more details, see [31]).…”

“…the parameter ⟨k 2 ⊥ ⟩ increases with the cumulative number x and depends on the kind of particle under investigation. These dependencies can be parameterized for pion and proton production as follows [31]:…”

“…This Gaussian approximation (7), used in [9,10], does not seem quite realistic to us, especially in light of the extrapolation of this dependence to the region of sufficiently large transverse momenta (region C in Figures 1 and 2). Therefore, in the works [31,32] we proposed an alternative parameterization of the dependence of the data [9,10] on the transverse momentum by a simple exponent, which usually provides a more adequate description of the data for large transverse momenta:…”