Generator coordinate method calculation of the<i>E</i>2 decay lifetime of shape isomers in the actinide region

Krieger, S. J.; Bonche, P.; Flocard, H.; Heenen, Paul‐Henri; Mehrem, Rami; Weiss, M. S.

doi:10.1103/physrevc.54.2399

Cited by 19 publications

(19 citation statements)

References 9 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…There are numerous studies of fissile nuclei (for example Refs. [252,253] and a comprehensive work using the Gogny force that extends into the superheavy region of the nobelium isotopes [254]). It includes enumeration of two-quasiparticle states in both normal and superdeformed wells.…”

Section: Deformed Nuclei With a > 190: Extreme Shapes Fission And K mentioning

confidence: 99%

Review of metastable states in heavy nuclei

2016

View full text Add to dashboard Cite

Abstract.The structure of nuclear isomeric states is reviewed in the context of their role in contemporary nuclear physics research. Emphasis is given to high-spin isomers in heavy nuclei, with A 150. The possibility to exploit isomers to study some of the most exotic nuclei is a recurring theme. In spherical nuclei, the role of octupole collectivity is discussed in detail, while in deformed nuclei the limitations of the K quantum number are addressed. Isomer targets and isomer beams are considered, along with applications related to energy storage, astrophysics, medicine, and experimental advances.

show abstract

Section: Deformed Nuclei With a > 190: Extreme Shapes Fission And K mentioning

confidence: 99%

Review of metastable states in heavy nuclei

2016

View full text Add to dashboard Cite

show abstract

“…In the usual Hartree-Fock or Hartree-Fock-Bogoliubov calculations which are being used to study deformed and superdeformed nuclei as well as fission [88][89][90], the multidimensional surface is generated by cranking, using some one-body operators to move away from the local minima. The most commonly employed constraint operators are just the multipole spherical harmonics.…”

Section: E a Basis For Self-consistent Cranking Operatorsmentioning

confidence: 99%

“…To be specific, consider the quadrupole degrees of freedom studied in the Kumar-Baranger theory [1][2][3][4][5]. For this and for more modern applications, the latter has been replaced by a two-step procedure [88,89]. In the first step, one constructs the required manifold |C as the solution of a constrained HF + BCS problem with so-called time-even, i.e., velocity-independent, constraints, such as the quadrupole moment and selected higher moments.…”

Section: A Survey Of Literaturementioning

confidence: 99%

Self-consistent theory of large-amplitude collective motion: applications to approximate quantization of nonseparable systems and to nuclear physics

2000

View full text Add to dashboard Cite

The goal of the present account is to review our efforts to obtain and apply a "collective" Hamiltonian for a few, approximately decoupled, adiabatic degrees of freedom, starting from a Hamiltonian system with more or many more degrees of freedom. The approach is based on an analysis of the classical limit of quantum-mechanical problems. Initially, we study the classical problem within the framework of Hamiltonian dynamics and derive a fully self-consistent theory of large amplitude collective motion with small velocities. We derive a measure for the quality of decoupling of the collective degree of freedom. We show for several simple examples, where the classical limit is obvious, that when decoupling is good, a quantization of the collective Hamiltonian leads to accurate descriptions of the low energy properties of the systems studied. In nuclear physics problems we construct the classical Hamiltonian by means of time-dependent mean-field theory, and we transcribe our formalism to this case. We report studies of a model for monopole vibrations, of 28 Si with a realistic interaction, several qualitative models of heavier nuclei, and preliminary results for a more realistic approach to heavy nuclei. Other * Email: Giu.Dodang@th.u-psud.fr † Email: aklein@walet.physics.upenn.edu ‡ Email: Niels.Walet@umist.ac.uk 1 topics included are a nuclear Born-Oppenheimer approximation for an ab initio quantum theory and a theory of the transfer of energy between collective and non-collective degrees of freedom when the decoupling is not exact. The explicit account is based on the work of the authors, but a thorough survey of other work is included. PACS number(s): 21.60.-n, 21.60.Jz, 21.60.Ev

show abstract

“…[20][21][22] For instance, the quantum collective wave function of the ground state of sodium isotopes is determined by means of configuration mixing calculations performed according to the GCM. 20 As shown, such calculations result in a smooth increase of the neutron radius and an almost constant proton radius for the sodium isotopes.…”

Section: Introductionmentioning

confidence: 99%

GENERATOR COORDINATE METHOD CALCULATIONS FOR GROUND AND FIRST EXCITED COLLECTIVE STATES IN ⁴He, ¹⁶O AND ⁴⁰Ca NUCLEI

Ivanov

Antonov

Gaidarov

2000

Int. J. Mod. Phys. E

View full text Add to dashboard Cite

The main characteristics of the ground and, in particular, the first excited monopole state in the 4 He, 16 O and 40 Ca nuclei are studied within the generator coordinate method using Skyrme-type effective forces and three construction potentials, namely the harmonic-oscillator, the square-well and Woods-Saxon potentials. Calculations of density distributions, radii, nucleon momentum distributions, natural orbitals, occupation numbers and depletions of the Fermi sea, as well as of pair density and momentum distributions are carried out. A comparison of these quantities for both ground and first excited monopole states with the available empirical data and with the results of other theoretical methods are given and discussed in detail.

show abstract

Generator coordinate method calculation of theE2 decay lifetime of shape isomers in the actinide region

Cited by 19 publications

References 9 publications

Review of metastable states in heavy nuclei

Review of metastable states in heavy nuclei

Self-consistent theory of large-amplitude collective motion: applications to approximate quantization of nonseparable systems and to nuclear physics

GENERATOR COORDINATE METHOD CALCULATIONS FOR GROUND AND FIRST EXCITED COLLECTIVE STATES IN ⁴He, ¹⁶O AND ⁴⁰Ca NUCLEI

Contact Info

Product

Resources

About

Generator coordinate method calculation of theE2 decay lifetime of shape isomers in the actinide region

Cited by 19 publications

References 9 publications

Review of metastable states in heavy nuclei

Review of metastable states in heavy nuclei

Self-consistent theory of large-amplitude collective motion: applications to approximate quantization of nonseparable systems and to nuclear physics

GENERATOR COORDINATE METHOD CALCULATIONS FOR GROUND AND FIRST EXCITED COLLECTIVE STATES IN 4He, 16O AND 40Ca NUCLEI

Contact Info

Product

Resources

About

GENERATOR COORDINATE METHOD CALCULATIONS FOR GROUND AND FIRST EXCITED COLLECTIVE STATES IN ⁴He, ¹⁶O AND ⁴⁰Ca NUCLEI