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Within an isospin- and momentum-dependent transport model using as an inputnucleon density profiles from Hartree-Fock calculations based on a modifiedSkyrme-like (MSL) model, we study how to eliminate the influence ofneutron-skin size difference of initial colliding nuclei in probing the nuclearsymmetry energy. Within the current experimental uncertainty range ofneutron-skin size of $^{208}$Pb, the Pb+Pb collisions are performed insemicentral and peripheral collisions with impact parameters of 5 and 9fm andat beam energies from 50 MeV/nucleon to 1000 MeV/nucleon, respectively. It isshown that combination of neutron and proton collective flows, i.e.,neutron-proton differential elliptic flow, neutron-proton elliptic flowdifference, neutron-proton differential transverse flow and neutron-protontransverse flow difference, can effectively eliminate the effects ofneutron-skin size difference and thus can be as useful sensitive observables inprobing nuclear matter symmetry energy in heavy-ion collisions. Moreover, thecombined neutron-proton stopping power including the neutron-protondifferential stopping power and neutron-proton stopping power difference canalso eliminate the effects of neutron-skin size difference and shows somesensitivities to symmetry energy especially at the lower beam energy.

Elimination of influence of neutron-skin size difference of initial colliding nuclei in Pb+Pb collisions