Microscopic description of low-lying M1 excitations in odd-mass actinide nuclei

Investigation of low-lying magnetic dipole excitations in the $^{153}$Eu nucleus

“…The coupling constant can be described in terms of interaction strength ( κ), i.e. χ = κ A MeV [9,10]. The wave function for an odd-mass nucleus describing the nonrotational states with a fixed value of K π can be written as follows:…”

“…Therefore, only boson and interaction terms are taken into account in the calculation of M 1 strength in odd-mass nuclei. Therefore, the violated rotational symmetry of QPNM Hamiltonian of odd-mass nuclei can be restored using the separable residual interaction in the following form [9,10]:…”

“…In Eqs. (11) and (12) the coupling constants γ 0 and γ 1 are determined self-consistently by the mean-field parameters [9,10] …”

“…The integer j = 1, 2, 3, .... is the number of the state, and ς and v denote the quantum numbers of a one-quasiparticle state. The quantities N j ςq and G iµν j define the contribution of the one-quasiparticle and quasiparticle⊗phonon component to the normalization condition [9,10].…”

“…One has to remove these spurious contributions to determine exactly the energies of excitation * Correspondence: etabar@sakarya.edu.tr states and the M 1 strength distribution in odd-mass nuclei. It has been recently shown that for odd mass nuclei it is possible to obtain the precise restoration of the rotational symmetry of the QPNM Hamiltonian in the framework of the separable isoscalar and isovector residual interaction [9,10]. The method originally proposed by Kuliev et al for the elimination of the spurious states in deformed even-even nuclei [7] successfully described the low-lying magnetic dipole excitations in even-even rare-earth [11], gamma-soft [12], and actinide nuclei [13].…”