SU(3) symmetry breaking in lower<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>fp</mml:mi></mml:math>-shell nuclei

Gueorguiev, V. G.; Draayer, J. P.; Johnson, Calvin W.

doi:10.1103/physrevc.63.014318

Cited by 28 publications

(56 citation statements)

References 41 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Instead I turn to a modification of the 'Lanczos trick', invented for generating strength functions [44][45][46] and which has been previously used to analyze phenomenological states in terms of their SU(3) irreps [47].…”

Section: A L-s Decompositionmentioning

confidence: 99%

Spin-orbit decomposition ofab initionuclear wave functions

Johnson

2015

Phys. Rev. C

View full text Add to dashboard Cite

Although the modern shell-model picture of atomic nuclei is built from single-particle orbits with good total angular momentum j, leading to j-j coupling, decades ago phenomenological models suggested a simpler picture for 0p-shell nuclides can be realized via coupling of total spin S and total orbital angular momentum L. I revisit this idea with large-basis, no-core shell model (NCSM) calculations using modern ab initio two-body interactions, and dissect the resulting wavefunctions into their component L-and S-components. Remarkably, there is broad agreement with calculations using the phenomenological Cohen-Kurath forces, despite a gap of nearly fifty years and six orders of magnitude in basis dimensions. I suggest L-S decomposition may be a useful tool for analyzing ab initio wavefunctions of light nuclei, for example in the case of rotational bands.

show abstract

Section: A L-s Decompositionmentioning

confidence: 99%

Spin-orbit decomposition ofab initionuclear wave functions

Johnson

2015

Phys. Rev. C

View full text Add to dashboard Cite

show abstract

“…Gueorguiev et al [5] projected exact shell-model wavefunctions in the pf -shell onto SU(3) irreps and found that single-particle spin-orbit splitting made a significant contribution to mixing of SU(3) irreps in exact shell-model wavefunctions. Therefore for this study, analogous to [5], we removed the spin-orbit splitting of the single-particle energies for both the USD and KB3 interactions.…”

Section: B the Interactionsmentioning

confidence: 99%

“…Therefore for this study, analogous to [5], we removed the spin-orbit splitting of the single-particle energies for both the USD and KB3 interactions.…”

Section: B the Interactionsmentioning

confidence: 99%

“…This state did not have good angular momentum, but we projected out the J = 0 part of the wavefunction. (We projected onto states of good angular momentum by a Lanczos moment method similar to that used in [5] to project onto SU(3) states and in [16] to generate Gamow-Teller strength distributions. The unprojected state is used as the starting Lanczos vector, or "pivot," and then one peforms a few Lanzos iterations using J 2 as the Hamiltonian, splitting the pivot into components with good J.…”

Section: E Hartree-fock Solutionsmentioning

confidence: 99%

“…Important parts of the nuclear Hamiltonian mix SU(3) irreps, like pairing and the single-particle spinorbit splitting. To include symmetry breaking realistic interactions requires a more sophisticated version of the SU(3) model [3,4,5]. The Nilsson model [1,6] of deformation describes single-particle levels by including quadrupole deformation and spin-orbit splitting, but one can think of Nilsson levels as a simplified version of deformed mean-field, or Hartree-Fock, levels.…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

SU(3) versus deformed Hartree-Fock state

2002

Self Cite

View full text Add to dashboard Cite

Deformation is fundamental to understanding nuclear structure. We compare two ways to efficiently realize deformation for many-fermion wavefunctions, the leading SU(3) irrep and the angularmomentum projected Hartree-Fock state. In the absence of single-particle spin-orbit splitting the two are nearly identical. With realistic forces, however, the difference between the two is non-trivial, with the angular-momentum projected Hartree-Fock state better approximating an "exact" wavefunction calculated in the fully interacting shell model. The difference is driven almost entirely by the single-particle spin-orbit splitting.

show abstract

High-spin collectivity inA ∼ 40 nuclei

Svensson

2004

Nuclear Physics A

View full text Add to dashboard Cite

SU(3) symmetry breaking in lowerfp-shell nuclei

Cited by 28 publications

References 41 publications

Spin-orbit decomposition ofab initionuclear wave functions

Spin-orbit decomposition ofab initionuclear wave functions

SU(3) versus deformed Hartree-Fock state

High-spin collectivity inA ∼ 40 nuclei

Contact Info

Product

Resources

About