On the effective number of bosons in the interacting boson model

Scholten, Olaf

doi:10.1016/0370-2693(83)90862-6

Cited by 33 publications

(7 citation statements)

References 12 publications

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“…By considering the s and d bosons as the shell-model S and D pairs, Scholten [41] proposed a method to calculate the effective boson number in a microscopic model. He proved that for the Z = 50-82 shell, the calculations yield a minimum value for Z = 64.…”

Section: Phenomenological Effective Boson Numbermentioning

confidence: 99%

Study of the pygmy dipole resonance in the interacting boson approximation framework

Pascu

Endres

Zamfir³

et al. 2012

Phys. Rev. C

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Background: The pygmy dipole resonance (PDR) is an interesting nuclear structure phenomenon with an impact in predicting different astrophysics scenarios, for example, specific properties of neutron stars that can be determined from the thickness of the neutron skin which is directly connected to the strength of the PDR. Various collective and microscopic models were employed in order to account for the observed properties of the PDR. Purpose: Determine for the first time whether it is possible to use the interacting boson approximation (IBA) to reproduce the general characteristics of the PDR. Methods: The PDR properties of the stable even-even N = 82 isotones are calculated in the IBA-spdf model based on the assumption that many effects of the mixing caused by the shell structure can be simulated by considering the number of bosons as an effective value. Results: The IBA calculations indicate a resonance-like structure of the E1 strength in the energy region 5-8 MeV, thus confirming the experimental results for this mass region. The distribution and fragmentation of the J π = 1 − states and of the E1 strength are in good agreement with the experimental data. By employing the same procedure as for the N = 82 isotones, the model is used to predict the PDR strength for a nucleus in a different mass region, i.e., for the 94 Mo nucleus. Conclusions: The calculations confirm a good agreement for the distribution and fragmentation of the E1 strength.

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Section: Phenomenological Effective Boson Numbermentioning

confidence: 99%

Study of the pygmy dipole resonance in the interacting boson approximation framework

Pascu

Endres

Zamfir³

et al. 2012

Phys. Rev. C

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“…However, it is well known that due to the Z = 64 subshell closure, the effective boson number is much smaller. The suggested effective number in the literature for the proton bosons varies between N π = 1 and 3 [69,70], leading to the total boson number to be between 3 and 5 for 148 Sm. There are three other parameters, i.e.…”

Section: O + 148 Sm Reaction: Comparison With Experimental Datamentioning

confidence: 99%

Excitation of nuclear anharmonic vibrations in heavy-ion fusion reactions

1998

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We discuss the effects of multi-phonon excitations on heavy-ion fusion reactions at energies near and below the Coulomb barrier, focusing especially on the role of anharmonicities. We carry out a systematic study of those effects on the excitation function of the fusion cross section and on the fusion barrier distribution, by using the vibrational limit of the interacting boson model. We also analyze the recently measured high-precision data of the 16 O + 148 Sm fusion reaction with this model and discuss the anharmonic properties of the quadrupole as well as the octupole vibrations in 148 Sm. Negative and positive static quadrupole moments are deduced for the first 2 + and 3 − states in 148 Sm, respectively. It is shown that the fusion barrier distribution strongly depends on the sign of the quadrupole moments, suggesting that subbarrier fusion reactions offer an alternative method to extract the static quadrupole moments of phonon states in spherical nuclei.PACS number(s): 25.70. Jj, 21.60.Fw, 21.10.Ky, 27.60.+j

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“…For A > 70 even-even nuclei, there exist many subshells, e.g., Z -40 subshell etc. Because of the existence of the subshell closures' [7][8][9][10][11][12][13][14] ] and Pauli effect, it is not appropriate, to take N r and N v simply as the numbers of valence proton (neutron) pairs which are counted as hole pairs beyond the middle of a major shell. So we resort to the concept of effective boson numbers.…”

Section: Effective Numbers Of Ibmmentioning

confidence: 99%