Abstract
Symmetry breaking at the mean-field level leads to an appearance of a symmetry restoring Nambu-Goldstone (NG) mode in the linear response theory. These modes represent a special kind of collective motion of the system. However, they can interfere with the calculated intrinsic physical excitations and, hence, they are often called as spurious modes. I discuss translational and rotational NG mode and the inertia parameter associated with these modes, by using the finite amplitude method formalism. I will also discuss how to remove spurious mode from the calculated transition strength function.
Highlights
Spontaneous symmetry breaking is one of the important ingredients in the nuclear density functional theory (DFT)
As demonstrated in [3], in this kind of situation, the Thouless-Valatin (TV) inertia parameter associated with the operator P can be obtained from the FAM-QRPA strength function at zero energy as S(P ; 0) = −MNG
To demonstrate how TV inertia parameter can be obtained from FAM calculation, and how spurious mode can be removed from transition strength function, I have taken nucleus 168Er as an example
Summary
Spontaneous symmetry breaking is one of the important ingredients in the nuclear density functional theory (DFT). As it often happens, obtained mean-field wave-function can break some of the symmetries, which are, conserved by the underlying Hamiltonian. This kind of symmetry breaking mechanism allows incorporating various correlations on the mean-field wave function.
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