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In the present study, the effect of the pairing interaction and the isovectorcorrelation between nucleons on the properties of the isobar analog resonances(IAR) in $^{112-124}$Sb isotopes and the isospin admixture in $^{100-124}$Snisotopes is investigated within the framework of the quasiparticle random phaseapproximation (QRPA). The form of the interaction strength parameter is relatedto the shell model potential by restoring the isotopic invariance of thenuclear part of the total Hamiltonian. In this respect, the isospin admixturesin the $^{100-124}$Sn isotopes are calculated, and the dependence of thedifferential cross section and the volume integral $J_{F}$ for theSn($^{3}$He,t)Sb reactions at E($^{3}$He)$=200$ MeV occurring by the excitationof IAR on mass number A is examined. Our results show that the calculated valuefor the isospin mixing in the $^{100}$Sn isotope is in good agreement with Coloet al.'s estimates $(4-5%)$, and the obtained values for the volume integralchange within the error range of the value reported by Fujiwara et al.(53$\pm$5 MeV fm$^{3}$). Moreover, it is concluded that although thedifferential cross section of the isobar analog resonance for the ($^{3}$He,t)reactions is not sensitive to pairing correlations between nucleons, aconsiderable effect on the isospin admixtures in $N\approx Z$ isotopes can beseen with the presence of these correlations.Comment: 16 pages, 5 EPS figures and 2 tables, Late

journal of physics. g, nuclear and particle physics

The effect of the pairing interaction on the energies of isobar analogue resonances in<sup>112–124</sup>Sb and isospin admixture in<sup>100–124</sup>Sn isotopes

The effect of the pairing interaction on the energies of isobar analogue resonances in112–124Sb and isospin admixture in100–124Sn isotopes

The effect of the pairing interaction on the energies of isobar analogue resonances in^112–124Sb and isospin admixture in^100–124Sn isotopes