MeV. Our analysis also leads to the appearance of ∆ I = 2 staggering effect in 194 Hg (SD1). A comment on equilibrium deformation for each nucleus is also given.

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The ΔI = 2 and ΔI = 4 staggering parameters of transition energies Eγ for normally deformed positive parity ground bands in 232Th and 236,238U nuclei are studied in framework of the symplectic extension of the interacting vector boson model. The model parameters are obtained from the fitting procedure between the calculated excitation energies and the corresponding experimental ones. The staggering parameters represent the finite difference approximations to higher order derivatives dnEγ/dIn of the γ-ray transition energies in a ΔI = 2 and ΔI = 4 bands, which yielding multipoint formulae. The first order derivative (two-point formula) provides us with information about the dynamical moment of inertia. The staggering oscillation for the fourth order derivative (five-point formula) is about 0.5 KeV and is even larger than that in superdeformed bands. The quite similarity in dynamical moments of inertia of the isotopes 236,238U up to high spin states indicate that the phenomenon of identical bands is not restricted to superdeformed bands.

Non extensive statistics provide an excellent application in the field of high energy collisions to study the thermal properties of the produced particles. We apply the scaled Tsallis equation to study the entropy parameter as a function of transverse momentum of the produced hadrons. We applied Tsallis-Pareto to study the transverse momentum distribution of produced hadrons (± , ± , ,) in pp collisions at center of mass energies = 62.4 , 200 ,900 GeV and 2.7 TeV. The Pareto-Tsallisdistribution, leads to an excellent description of data on transverse momentum distribution .The parameters are almost independent from for protons and kaons and distributed around = 1.1 and q is increasing for pions from 1.1 to almost 1.3 at top energy = 2.7. The effective temperature, increases with collisions energy we estimated ≈ 0.3 for pp collisions at 2.7 TeV LHC energy. Different hadrons have different effective temperature such that heavier hadrons have higher freezout temperature.

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