Nuclear Pairing Model And Its Application In Isotope Chain And Identical Neutron Chain

The nucleus is a quantum multi-body system composed of protons and neutrons,the study of its structure and property has always been the frontier of nuclear physics.Experimentally and theoretically,the recent study on large deformation nuclei has attracted the intense attention.Employing both proton-proton and neutron-neutron pairing interactions,we investigate the properties of some well-deformed nuclei in rare-earth region by using the exactly solvable Nilsson mean-field plus adjacent orbital pairing model.We derive the theoretical formulas of moment of inertia and the occupation rate in this model,and further apply to study the structures and properties of Dy isotopic chain and the neutron number 94 chain.The binding energies and odd-even energy differences of above two chains are studied,and compared with the corresponding experimental data,the empirical formulas of the pairing strength parameters are given respectively.The results show that this model can reasonably describe the binding energies and odd-even energy differences of this two chains.Using the same parameters,the moment of inertia of even-even nucleus are investigated and compared with the corresponding experimental data.We analyze the results of¹⁶²Dy and¹⁵⁸Gd nucleus in detail.We discuss the contribution of the two nucleons to the moment of inertia,the weights of each cases are given,occupying different orbits.Also the ground state occupation rate of valence nucleon pairs of¹⁶²Dy and¹⁵⁸Gd nucleus for different angular momentum are discussed in detail.In addition,we make an preliminary analysis for the moment of inertia of some odd-A nuclei.In summary,we apply the exactly solvable Nilsson mean-field plus pairing model to study the properties of some well-deformed nuclei in rare-earth region,and compare with the corre-sponding experimental data.The results show that,within the range of experimental errors,the theoretical values obtained are in consistent with the data,showing this model can describe the properties of well-deformed nuclei well.The further study of odd-A nuclei is still needed.