The interacting Boson Model in the germanium region

Duval, Philip; Goutte, Dominique; Vergnes, M.

doi:10.1016/0370-2693(83)91457-0

Cited by 76 publications

(70 citation statements)

References 9 publications

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“…A paper with those for 48 Ti is in preparation [109]. The quality of these, as well as of the unpublished results for 96 Zr is equal to that of the results obtained previously [95][96][97][98][99][100][101][102][103][104][105][106][107]. For the semimagic nuclei 116−124 Sn and 136 Xe, we have obtained the parameters by a fit to the energy of the low-lying states using the same procedure as in Ref.…”

Section: Appendix C: Parameters Of the Ibm-2 Hamiltonianmentioning

confidence: 63%

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Nuclear matrix elements for double-βdecay

2013

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Section: Appendix C: Parameters Of the Ibm-2 Hamiltonianmentioning

confidence: 63%

“…For most nuclei, the Hamiltonian parameters are taken from the literature [95][96][97][98][99][100][101][102][103][104][105][106][107]. The values of the Hamiltonian parameters, as well as the references from which they were taken, are given in Table XXIII.…”

Section: Appendix C: Parameters Of the Ibm-2 Hamiltonianmentioning

confidence: 99%

Nuclear matrix elements for double-βdecay

2013

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“…different reaction mechanisms in the past. The two neutron transfer has been widely used in both direct and indirect kinematics and is known to be sensitive to configuration transitions, such as shape transitions [17] or pairing in light [18,19] or heavy nuclei [20]. Two-nucleon knockout has been more recently introduced to probe correlations [21,22] and a dedicated formalism has been developed showing a strong sensitivity to two-body correlations of the intermediate-energy inclusive knockout [23,24].…”

Section: Spectroscopic Strength From One-nucleon Strippingmentioning

confidence: 99%

Direct reactions with exotic nuclei

Obertelli

2014

EPJ Web of Conferences

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Abstract. Direct reactions have been a unique tool to address the nuclear many-body problem from the experimental side. They are now routinely used in inverse kinematics with radioactive ion beams (RIB). However, weakly bound nuclei have recently raised questions on the applicability of reaction formalisms benchmarked on stable nuclei to the study of single-particle properties and correlations in these unstable systems. The study of the most exotic species produced at low intensity have triggered new technical developments to increase the sensitivity of the setup, with a focused attention to direct reactions such as transfer at low incident energy or knockout at intermediate energies. Nuclear structure from direct reactionsIn nuclear reactions, some processes leave the final nucleus in a state that retains recollections of the initial wave function. These reactions, for which few degrees of freedom were modified, are called direct [1]. This gives to direct reactions, in addition to their selectivity, the strong advantage to allow a quantitative investigation of the ground-state properties of atomic nuclei.Different direct reaction mechanisms are used depending on the incident energy. Often encountered are nucleon transfer reactions at low incident energy, generally in a regime between 5 and 50 MeV/nucleon, and knockout reactions at relativistic energies, typically above 150 MeV/nucleon to minimize indirect contributions to the direct cross section. The electron-induced stripping reaction (e,e'p) is considered to be the reference stripping measurement from stable nuclei. As an electromagnetic probe, (e,e'p) is considered to be well understood when restricted to large momentum transfer. In this case, small corrections have to be taken into account for final state interaction with the proton in the exit channel [2]. Charge density and intrinsic momentum distributions of protons in stable nuclei have been well studied this way. The neutron component of nuclei requires a nuclear probe. Transfer and (p,2p) reactions have been benchmarked with (e,e'p) and found to be consistent for stable nuclei when treated as direct mechanisms and analyzed within a DWBA framework [3].Information extracted from the analysis of direct reaction cross sections has driven our understanding of the nuclear shell structure and their usefulness is unanimously recognized. The spectroscopic strength obtained from pickup and stripping reactions are indeed necessary to quantify the amount of correlations in a given nucleus and offer the possibility to address, when extracted from cross sections within a given theoretical framework, the question of uncorrelated single-particle energies E sp [4]

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“…One set of isotopes which exhibits an apparent structure change with increasing neutron number is provided by the Ge isotopes (A = 68 to 76) (Vergnes 1980). Within the IBM, these structure or shape changes correspond to the system moving between the vibrational [SUeS)], y-unstable [0(6)] and rotational [SU(3)] limits.…”

Section: Introductionmentioning

confidence: 99%

“…Contrary to an earlier model (Duval et al 1983) we use the IBM-I, i.e. we do not distinguish between neutron and proton bosons, and do not consider mixing between different configurations.…”

Section: Introductionmentioning

confidence: 99%

Proton Inelastic Scattering in the Interacting Boson Model: Formalism and Application to the Ge Isotopes

Bauhoff¹,

Morrison²

1984

Aust. J. Phys.

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The application of the interacting boson model to the coupled channel description of inelastic proton scattering is studied. The radial shape of the transition potentials is determined by analogy to the usual geometrical models, whereas the reduced matrix elements are calculated from the boson Hamiltonian. The general formalism is applied to scattering from the Ge isotopes. We find a better description for the heavier isotopes in terms of an O(6)-symmetric model than for a vibrational model.

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The interacting Boson Model in the germanium region

Cited by 76 publications

References 9 publications

Nuclear matrix elements for double-βdecay

Nuclear matrix elements for double-βdecay

Direct reactions with exotic nuclei

Proton Inelastic Scattering in the Interacting Boson Model: Formalism and Application to the Ge Isotopes

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