QPNM calculation for the ground state magnetic moments of odd-mass deformed nuclei: 157–167Er isotopes

The ground-state magnetic moments of odd-mass Hf isotopes

“…[11]. Here is a brief reminder that one starts with an intrinsic Hamiltonian having the following composite structure:…”

“…Both spin interaction parameters (χ) are expressed in terms of spin interaction strengths (κ), χ = κ A MeV. In this model, the wave functions of odd-mass nuclei (for odd-neutron Hf isotopes τ=n) consist of the sum of onequasiparticle and one-quasiparticle⊗phonon [11]:…”

“…Recently, using the QPNM [7][8][9][10] we have developed a method to investigate the spin polarization effects on the groundstate magnetic properties of odd-mass nuclei for the first time. The demonstration of the method was made with numerical calculations in 157−167 Er [11] and 155−165 Dy [12] isotope chains. The results of our previous work [11,12] have indicated that the QPNM interpretation of the magnetic moments seems most appropriate, so at present it represents the only possible approach to an improved understanding of the spin renormalization effects experimentally observed for the magnetic dipole moments.…”

“…The demonstration of the method was made with numerical calculations in 157−167 Er [11] and 155−165 Dy [12] isotope chains. The results of our previous work [11,12] have indicated that the QPNM interpretation of the magnetic moments seems most appropriate, so at present it represents the only possible approach to an improved understanding of the spin renormalization effects experimentally observed for the magnetic dipole moments. Therefore, it would be important to expand the calculations on other isotope chains to test if the method can reproduce the intrinsic magnetic moment ( K ) and the effective spin factor ( ) observed in other rare-earth nuclei.…”

The Ground State Nilsson Quantum Numbers of the Odd-Odd138,140Pr Nuclei

“…of this configuration for the neutron and proton, as was pointed out by Hisatake [4], are identified as 3/2 and 5/2, respectively. The determination of the Nilsson quantum numbers of ground state of the odd-odd 138,140 Pr nuclei will serve as a basis for calculating various characteristics such as beta decay [11], magnetic moment [12][13][14][15][16] and magnetic dipole transitions [17][18][19][20][21][22][23] of even and odd mass nuclei.…”