Ядерна фізика та енергетика Nuclear Physics and Atomic Energy   ISSN: 1818-331X (Print), 2074-0565 (Online)   Publisher: Institute for Nuclear Research of the National Academy of Sciences of Ukraine   Languages: Ukrainian, English   Periodicity: 4 times per year   Open access peer reviewed journal

Full text (en)

A. H. Taqi^*, G. A. Mohammed

Department of Physics, College of Science, Kirkuk University, Kirkuk, Iraq

^*Corresponding author. E-mail address: alitaqi@uokirkuk.edu.iq

Abstract: The isoscalar giant monopole resonance (ISGMR) of even molybdenum isotopes ^{92,94,96,98,100}Mo has been studied within the Skyrme self-consistent Hartree - Fock - Bardeen, Cooper, and Schrieffer and quasi-particle random phase approximation. Ten sets of Skyrme-type interactions of different values of the nuclear matter incompressibility coefficient K_NM are used in the calculations. The calculated strength distributions, centroid energies E_cen, scaled energies E_s and constrained energies E_con of ISGMR are compared with available experimental data. Due to the appropriate value of the nuclear matter incompressibility K_NM, several types of Skyrme interactions were successful in describing the ISGMR strength distribution in the ^{92,94,96,98,100}Mo isotopes. As a result, high correlations between E_cen and K_NM were found.

Keywords: strength distribution, Skyrme force, Hartree - Fock - Bardeen - Cooper - Schrieffer, quasiparticle random phase approximation.

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