Description of the Pt and Os isotopes in the interacting boson model

Bijker, R.; Dieperink, A.E.L.; Scholten, Olaf; Spanhoff, R.

doi:10.1016/0375-9474(80)90673-9

Cited by 163 publications

(68 citation statements)

References 44 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…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

View full text Add to dashboard Cite

show abstract

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

confidence: 99%

Nuclear matrix elements for double-βdecay

2013

View full text Add to dashboard Cite

show abstract

“…Using parametrizations (10,11), ξ ranges from 0.01 to 1. On the other hand, using parametrization (12,13), χ ranges from 0 to − √ 7/2.…”

Section: B Crossing the Phase Transition Region: Anomalies In The Twmentioning

confidence: 99%

“…However, in most of these studies [15] the binding energies have been ignored. One of the reasons for such a neglect stems (partly) from the fact that the early IBM studies (carried out in the 80's) [7,10,11] gave a rather good reproduction of the general trends of the nuclear binding energy in different mass regions. So, it was tacitly assumed that realistic IBM calculations would also reproduce (in a natural way) the binding energy values.…”

Section: Realistic Calculationsmentioning

confidence: 99%

“…In the chart of nuclei, three transitional regions can be distinguished where one observes rapid structural changes: (a) In the Nd-Sm-Gd region, one observes a change from spherical to well-deformed nuclei when moving from the lighter to the heavier isotopes; in the IBM language this is the U(5)-SU(3) transitional region; (b) in the Ru-Pd region, one notices that the lighter isotopes are spherical while the heavier ones indicate a γ-unstable character, this is the U(5)-O(6) region; (c) in the Os-Pt region, the lighter isotopes are well deformed while the heavier shown γ-unstable properties, this is the SU(3)-O (6) transitional region. Although these three transitional regions have been studied extensively in the framework of the IBM [6][7][8][9] (note that in this paper we use the simplest version of the model, IBM-1, therefore we do not consider the transitional regions using IBM-2 [7,10,11]), the discussion of phase transitions has not always been treated in a proper way. In particular one of the weak points is how to define an appropriate control parameter in a system such as the atomic nucleus where this parameter is fixed (for given N and Z) and cannot be controlled externally [12].…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Two-neutron separation energies, binding energies and phase transitions in the interacting boson model

García‐Ramos¹,

Coster²,

Fossión³

et al. 2001

Nuclear Physics A

View full text Add to dashboard Cite

show abstract

“…Also on the plots are the results from several models: (1) the rigid asymmetric rotor (ARM), (2) the IBA model using the IBA2 parameters given in the paper by Bijker and coll~agues (22), (3) the boson-expansion theory (BET) using computer ouptuts from Tamura (23), and (4) results (24) from either a y-unstable model or one that is y-soft (a rather shallow minimum in the potential for y ~ 0). The results for each case are discussed separately below.…”

Section: Resultsmentioning

confidence: 99%

Collective bands in some rotational and transitional nuclei

Stephens

1983

Progress in Particle and Nuclear Physics

View full text Add to dashboard Cite

PART 1 ROTATIONAL BANDS IN DEFORMED NUCLEI INTRODUCTIONThe most collective bands known in nuclei are the rotational bands that occur . wherever the nuclear shape becomes appreciably nonspherical. Such shapes are due to the shell effects in nuclei. 'When 'a shell is filled there is extra stability so that, for the usual (spherical) shell model, a spherical shape is stabilized near closed shells. However, between shells the spherical shape is disfavored and the nucleus deforms in order to find a more favorable energy. Such deformations give rise to an orientation degree of freedom for the nucleus and thereby to the possibil ity of rot at ion. ROTATIONAL PROPERTIES EnergiesA rotational band reflects a very simple type of collective motion, which changes the orientation of the system without essentially affecting its shape or internal structure. The energy associated with the mot ion is mainly kinetic and may be written (l) where the value Of"", the moment of inertia, depends on the shape and internal structure, w is the angular velocity, and I is the angular momentum. This energy re 1 at ionship expresses one of the most characteri st ic feat ures of nuc lear rot at ional mot ion and appl ies to the rot at ion of any near-rigid symmetric top. It works even better for diatomic molecules. It is interest ing that all the low-lying excitation modes ofa nucleus have analogs in a diatomic molecule. Both systems have rotational, vibrational, and particle eXCitations, with energy scales for the particle excitation (electronic vs. nucleonic) that differ by about 10 6 (eV to MeV). In the molecular case the three modes differ from each other in energy by factors of approximately 50, so they are almost independent (the adiabatic hypothesis works well). However, the (low-lying) nuclear vibrational energies are of the same order as single particle excitations, indicating that this vibrational mode does not become strongly collective in nuclei. The rotational spacings are only about a factor of 10 smaller than the other two, so that nuclear rotational levels show much larger rotation-vibration and single-particle perturbations than do molecular levels.Once rotational motion had been suggested by A. Bohr (1) in 1952, it was soon found; following a decay in the actinide nuclei (A -240) and by Coulomb excitation of the lanthanide nuclei (A -160). As a recent example, the y-ray spectrum of 238U, Coulomb excited by a 208pb beam (2), is shown in Fig. 1. The level scheme is shown on the right side of Fig. 2, where the first few levels follow the purely rotational motion given by Eq. (l) to a few percent. With increasing spin the deviations become larger as the rotational motion increasingly perturbs the intrinsic structure of the nucleus via the Coriolis and centrifugal interactions. Nevertheless, it is remarkable that such a simple picture works so well over such a large range of spin and excitation energy. Coulomb excitation is also a principal experimental technique for determining the other major characteristic of nuclear rotatio...

show abstract

Description of the Pt and Os isotopes in the interacting boson model

Cited by 163 publications

References 44 publications

Nuclear matrix elements for double-βdecay

Nuclear matrix elements for double-βdecay

Two-neutron separation energies, binding energies and phase transitions in the interacting boson model

Collective bands in some rotational and transitional nuclei

Contact Info

Product

Resources

About