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We present a new expression for the energy of the lowest collective states ineven-even nuclei throughout the entire periodic table. Our empirical formula isextremely valid and holds universally for all of the natural parity evenmultipole states. This formula depends only on the mass number and the valencenucleon numbers with six parameters. These parameters are determined easily andunambiguously from the data for each multipole state. We discuss the validityof our empirical formula by comparing our results with those of other studiesand also by estimating the average and the dispersion of the logarithmic errorsof the calculated excitation energies with respect to the measured ones.

Universal Expression for the Lowest Excitation Energy of Natural Parity Even Multipole States