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We study the hadron spectra in nearly central $A$+$A$ collisions at RHIC andLHC in a broad transverse momentum range. We cover the low-$p_T$ spectra usinglongitudinally boost-invariant hydrodynamics with initial energy and net-baryonnumber densities from the perturbative QCD (pQCD)+saturation model. Build-up ofthe transverse flow and sensitivity of the spectra to a single decouplingtemperature $\Tdec$ are studied. Comparison with RHIC data at $\ssNN=130$ and200 GeV suggests a rather high value $\Tdec=150$ MeV. The high-$p_T$ spectraare computed using factorized pQCD cross sections, nuclear partondistributions, fragmentation functions, and describing partonic energy loss inthe quark-gluon plasma by quenching weights. Overall normalization is fixed onthe basis of p+$\bar{\rm p}$(p) data and the strength of energy loss isdetermined from RHIC Au+Au data. Uncertainties are discussed. With constraintsfrom RHIC data, we predict the $p_T$ spectra of hadrons in 5 % most centralPb+Pb collisions at the LHC energy $\ssNN=5500$ GeV. Due to the closedframework for primary production, we can also predict the net-baryon number atmidrapidity, as well as the strength of partonic energy losses at the LHC. Bothat the LHC and RHIC, we recognize a rather narrow crossover region in the $p_T$spectra, where the hydrodynamic and pQCD fragmentation components become ofequal size. We argue that in this crossover region the two contributions are toa good approximation mutually independent. In particular, our results suggest awider $p_T$-region of applicability for hydrodynamical models at the LHC thanat RHIC.Comment: 45 pages, 16 eps-figure

physical review. c. nuclear physics/physical review. c, nuclear physics

Predictions for low-<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msub><mml:mi>p</mml:mi><mml:mrow><mml:mi>T</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math>and high-<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msub><mml:mi>p</mml:mi><mml:mrow><mml:mi>T</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math>hadron spectra in nearly central Pb+Pb collisions at<mml:math xmlns:mml="http://www.w3.org/1998/Math/…

Predictions for low-pTand high-pThadron spectra in nearly central Pb+Pb collisions at