Simultaneously study for particle transverse sphericity and ellipticity in pp collisions at LHC energies

Since the PYTHIA6 and PYTHIA8 results are inconsistent with ALICE data of charged particle transverse momentum sphericity, we introduce a new method in which the p_x and p_y components of produced particles are randomly rearranged on the circumference of an ellipse with a half major and minor axes being p_T(1+δ_p) and p_T(1-δ_p). Based on the particles generated in the PYTHIA6.4 simulations this rearrangement method fairly well reproduces the ALICE data of the transverse sphericity as a function of charged multiplicity in the minimum bias pp collisions at √{s}=0.9 and 7 TeV. Meanwhile, this work predicts a measurable value of v₂∼0.2-0.3 for the charged particles in the above pp collisions and suggests a simultaneous study of the particle transverse momentum sphericity and elliptic flow parameter as well as other harmonic coefficients.