QRPA in the coordinate space representation
نویسنده
چکیده
We formulate a quasi-particle random phase approximation (QRPA) in the coordinate space representation. This model is a natural extension of the RPA model of Shlomo and Bertsch to open-shell nuclei in order to take into account pairing correlations together with the coupling to the continuum. We apply it to the 120Sn nucleus and show that low-lying excitation modes are significantly influenced by the pairing effects although the effects are marginal in the giant resonance region. The dependence of the pairing effect on the parity of low-lying collective mode is also discussed. Typeset using REVTEX 1
منابع مشابه
Continuum QRPA in the coordinate space representation
We formulate a quasi-particle random phase approximation (QRPA) in the coordinate space representation. This model is a natural extension of the RPA model of Shlomo and Bertsch to open-shell nuclei in order to take into account pairing correlations together with the coupling to the continuum. We apply it to the 120Sn nucleus and show that low-lying excitation modes are significantly influenced ...
متن کاملCoordinate finite type invariant surfaces in Sol spaces
In the present paper, we study surfaces invariant under the 1-parameter subgroup in Sol space $rm Sol_3$. Also, we characterize the surfaces in $rm Sol_3$ whose coordinate functions of an immersion of the surface are eigenfunctions of the Laplacian $Delta$ of the surface.
متن کاملar X iv : n uc l - th / 9 70 80 30 v 1 1 8 A ug 1 99 7 A large Hilbert space QRPA and RQRPA calculation of neutrinoless double beta decay ∗
A large Hilbert space is used for the calculation of the nuclear matrix elements governing the light neutrino mass mediated mode of neutrinoless double beta decay (0νββ-decay) of 76Ge, 100Mo, 116Cd, 128Te and 136Xe within the proton-neutron quasiparticle random phase approximation (pn-QRPA) and the renormalized QRPA with proton-neutron pairing (full-RQRPA) methods. We have found that the nuclea...
متن کاملSystematics of the first 2+ excitation in spherical nuclei with the Skryme quasiparticle random-phase approximation
We use the quasiparticle random-phase approximation (QRPA) and the Skyrme interactions SLy4 and SkM∗ to systematically calculate energies and transition strengths for the lowest 2+ state in spherical even-even nuclei. The SkM∗ functional, applied to 178 spherical nuclei between Z = 10 and 90, produces excitation energies that are on average 11% higher than experimental values, with residuals th...
متن کاملApproximation of fixed points for a continuous representation of nonexpansive mappings in Hilbert spaces
This paper introduces an implicit scheme for a continuous representation of nonexpansive mappings on a closed convex subset of a Hilbert space with respect to a sequence of invariant means defined on an appropriate space of bounded, continuous real valued functions of the semigroup. The main result is to prove the strong convergence of the proposed implicit scheme to the unique solutio...
متن کامل