Particle-hole symmetry,<i>F</i>-spin, and<i>r</i>-process parameters

Davis, E. D. D.; Diallo, A. F.; Barrett, B. R.; Balantekin, A. B.

doi:10.1103/physrevc.44.1655

Cited by 7 publications

(5 citation statements)

References 11 publications

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“…Fits using F Z or other related quantities which do make the appropriate distinction, often require multiple fit coefficients, see e.g. [18] or [21].…”

Section: Discussionmentioning

confidence: 99%

“…to test the validity of F-spin multiplets [18]. Here E pp corresponds to the energy of an excited state in a nucleus with valence protons and neutrons, and E hh corresponds to the energy of a state in a nucleus with proton and neutron holes.…”

Section: Particle-hole Symmetrymentioning

confidence: 99%

“…Here E pp corresponds to the energy of an excited state in a nucleus with valence protons and neutrons, and E hh corresponds to the energy of a state in a nucleus with proton and neutron holes. The finding was that pairs of E(2 + 1 ) and E(4 + 1 ) states in an F-spin multiplet deviate from one another on the order of 10 − 20% [18].…”

Section: Particle-hole Symmetrymentioning

confidence: 99%

“…The F Z number has been shown to allow for the prediction of various properties, from masses e.g. [18], to spectroscopic factors e.g. [20].…”

Section: Alternative Representationsmentioning

confidence: 99%

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Particle-hole symmetry numbers for nuclei

Bentley

2016

Indian J Phys

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Two new numbers, ν and ζ, inspired by particle-hole symmetry are introduced. These numbers have extreme values at a closed shell and vanish mid-shell. A combination of even powers of these numbers has been used to model experimentally measured quantities such as R 4/2 = E(4 + 1 )/E(2 + 1 ) and the "microscopic" contribution to binding energies. A binding energy fit consisting of a total of six fit coefficients, including one new shell term, reproduces the experimental binding energies of 2353 nuclei with an r.m.s. standard deviation of 1.55 MeV. The difference between the experimental and fit values of observables, specifically the R 4/2 , provides an indication of where shell closure features are less pronounced and where sub-shells closures occur.

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“…Fits using F Z or other related quantities which do make the appropriate distinction, often require multiple fit coefficients, see e.g. [18] or [21].…”

Section: Discussionmentioning

confidence: 99%

Section: Particle-hole Symmetrymentioning

confidence: 99%

Section: Particle-hole Symmetrymentioning

confidence: 99%

“…The F Z number has been shown to allow for the prediction of various properties, from masses e.g. [18], to spectroscopic factors e.g. [20].…”

Section: Alternative Representationsmentioning

confidence: 99%

See 2 more Smart Citations

Particle-hole symmetry numbers for nuclei

Bentley

2016

Indian J Phys

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“…The systematic behavior of the low-lying collective states of even-even nuclei has been extensively studied in different phenomenological and microscopic model approaches [1,2,3,4]. In particular, some algebraic classification schemes provide a convenient way to systematize the general collective characteristics of these states in terms of the basic nuclear structure quantities, such as the nuclear mass number, the proton or neutron numbers, as well as the total number of neutron and proton pairs in nuclear valence shells [1,5,6].…”

Section: Introductionmentioning

confidence: 99%

Staggering behavior of the low-lying excited states of even-even nuclei in aSp(4,R)classification scheme

2002

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We implement a high order discrete derivative analysis of the low lying collective energies of even-even nuclei with respect to the total number of valence nucleon pairs N in the framework of F -spin multiplets appearing in an algebraic sp(4, R) classification scheme. We find that for the nuclei of any given F -multiplet the respective experimental energies exhibit a ∆N = 2 staggering behavior and for the nuclei of two united neighboring F -multiplets well pronounced ∆N = 1 staggering patterns are observed. Those effects have been reproduced successfully through a generalized sp(4, R) model energy expression and explained in terms of the step-like changes in collective modes within the F -multiplets and the alternation of the F -spin projection in the united neighboring multiplets. On this basis we suggest that the observed ∆N = 2 and ∆N = 1 staggering effects carry detailed information about the respective systematic manifestation of both high order α particle-like quartetting of nucleons and proton (neutron) pairing interaction in nuclei.PACS number(s):21.10.Re, 21.60.Fw

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