Collective 1+ states in doubly even deformed nuclei

Gabrakov, S.I.; Kuliev, A.A.; Pyatov, N.I.; Salamov, D.I.; Schulz, H.

doi:10.1016/0375-9474(72)90541-6

Cited by 46 publications

(21 citation statements)

References 13 publications

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“…The basis contains all discrete and quasidiscrete levels from the bottom of the potential well up to 3 MeV. Except for mean-field potential parameters, the model contains only a single parameter for the calculation of either M1, the spin-isospin interaction constant, namely χ σ τ = 40/A MeV [19], and E1 the isovector dipoledipole interaction parameter χ 1 = 300/A 5/3 MeVfm −2 [15]. The monopole pairing-interaction constants taken from Soloviev [20] are based on single-particle levels corresponding to the nucleus studied.…”

Section: Numerical Proceduresmentioning

confidence: 99%

Fine structure of the dipole excitations of the even-even 160Gd nucleus in the spectroscopic region

et al. 2009

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Abstract:In this study, the result of calculations using rotational, translational and Galilean invariant quasiparticle random-phase approximation is presented for the low-lying dipole excitations in the even-even 160 Gd nucleus. Calculations are carried out for both ∆K =1 and ∆K =0 branches. The analysis shows that the main part of spin-1 states, observed at energy 2.4-4 MeV in 160 Gd, have M1 character and are interpreted as main fragments of the scissors mode. The calculations indicate the presence of a few prominent negativeparity dipole ∆K =1 states in the investigated energy region, in agreement with experiment.

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Section: Numerical Proceduresmentioning

confidence: 99%

Fine structure of the dipole excitations of the even-even 160Gd nucleus in the spectroscopic region

et al. 2009

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“…We also give therein arguments for the angular momentum assignment of the two RPA states, which is very relevant for our present purposes 9 We have presented so far the main features of the core system as described by the RPA formalism 9 They will be used in the next section in defining the particle-core coupling picture 9…”

Section: H~p-2m /~ +~-(Co~mentioning

confidence: 99%

Toward a microscopic description of theM1 states in deformed even-odd nuclei

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1989

Z. Physik A - Atomic Nuclei

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The magnetic dipole collective excitation, known as scissors mode, is studied in odd deformed nuclei within the framework of a particle-core coupling scheme. The description is made in the intrinsic and laboratory frames. In both frames the core is described in the RPA approach by a schematic many body Hamiltonian. In the intrinsic frame we use an effective particle-core Hamiltonian which is treated perturbatively. In the laboratory frame two K = 1/2 triplets with J = 1/2, 3/2, 5/2 are constructed through projection from two intrinsic excited states respectively. Each member of these multiplets are collectively M1 excited from the state (K, J~)=(3/2, 3/2+). Their energies are obtained by averaging a rotationally invariant Hamiltonian. Another multiplet with K = 3/2 and J=3/2, 5/2, which is strongly coupled to the state (K, J~)=(5/2, 5/2 +) through a M1 transition, is described. These results indicate that the M1 collective excitation should exist also in odd deformed nuclei.

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“…We consider now the matrix elements of the effective neutron-proton potential, taking it to be of Gaussian central form ( 8) where PTE, PT 0 , P 8 E, and P 80 are projection operators for the spin triplet (T) or singlet (S) and even (~) or odd (0) relative orbital angular momentum. We will use two different forces in our calculations, force I with ranger =1.5 fm, Table 2 shows the result of the fitting procedure.…”

Section: B the N-p Forcementioning

confidence: 99%