Spherical Nuclei with Simple Residual Forces

Kisslinger, Leonard S.; Sorensen, Raymond A.

doi:10.1103/revmodphys.35.853

Cited by 1,214 publications

(218 citation statements)

References 40 publications

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“…In this way, the G values are expected to reproduce the low-lying vibrational spectra of near closed-shell nuclei in the SU ± (2) limit of the model (like-particle pairing) (Figure 1). When the results from the three nuclear regions (I, II, and III) are considered, the pairing strength parameter is found to follow the well-known 1/A trend [14,42,43,44,45],…”

Section: Description Of Isobaric Analog 0 + States a Interactiomentioning

confidence: 99%

Dynamical symmetry of isobaric analog0+states in medium mass nuclei

2004

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An algebraic sp(4) shell model is introduced to achieve a deeper understanding and interpretation of the properties of pairing-governed 0 + states in medium mass atomic nuclei. The theory, which embodies the simplicity of a dynamical symmetry approach to nuclear structure, is shown to reproduce the excitation spectra and fine structure effects driven by proton-neutron interactions and isovector pairing correlations across a broad range of nuclei.

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Section: Description Of Isobaric Analog 0 + States a Interactiomentioning

confidence: 99%

Dynamical symmetry of isobaric analog0+states in medium mass nuclei

2004

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“…The P 0 + QQ or P 0 + P 2 + QQ force [11][12][13][14] has been regarded as a schematic interaction which represents typical correlations in nuclei. The results in (I), however, told us that the extended P + QQ force accompanied by the Jindependent proton-neutron (p-n) force V 0 πν is more than a mere schematic interaction and reflects the important aspects of the real interaction.…”

Section: Introductionmentioning

confidence: 99%

Improvement of the extended interaction by modifying the monopole field

2001

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The extended pairing plus QQ interaction with the J-independent isoscalar protonneutron force as an average monopole field, which has succeeded in describing collective yrast states of N ≈ Z even-A nuclei, is improved. The improvement is accomplished by adding small monopole terms (relevant to spectroscopy) to the average monopole field (indispensable to the binding energy). This modification extends the applicability of the interaction to nuclei with N ≈ 28 such as 48 Ca, and moreover improves energy levels of noncollective states. The modified interaction successfully describes not only even-A but also odd-A nuclei in the f 7/2 shell region. Results of exact shell model calculations in the model space (f 7/2 , p 3/2 , p 1/2 ) (its usefulness has been demonstrated previously) are shown for A=47, 48, 49, 50 and 51 nuclei.

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“…Using the complementarity of U(Ω) and SU S T (4) ∼ SO S T (6) (1), (3) and SO(Ω) and SO (8) the basis states in the reduction to the angular momentum subgroup SO L (3) could be labeled as…”

Section: Reductions Of the Spatial Partmentioning

confidence: 99%

“…First we identify the reduction schemes of the shell model number-conserving algebra U(Ω), which are governed by the Wigner's supermultiplet model (the LST-scheme) [5], and practically separates the a e-mail: anageorg@issp.bas.bg shell-model space to spatial and spin-isospin part. Then, we investigate the dynamical symmetries that reduce the spatial part to the angular momentum L algebra SO (3). These reductions are predetermined by the residual interactions, which we would like to consider, namely the pairing and quadrupole-quadrupole ones.…”

Section: Introductionmentioning

confidence: 99%

“…In this paper we outline such dynamical symmetries that can be identified in the number conserving shell model algebra. They introduce the two most important residual interactions of the many-body nuclear system -the pairing and quadrupole-quadrupole interaction, which are the fundamental terms in the microscopic version of the Pairing plus Quadrupole Model (PQM) [2][3][4]. Of cause these limiting cases are rather schematic and describe the spectra of a restricted number of real nuclei, but they can be considered as different phases of the complex interactions acting, between the nuclear constituents.…”

Section: Introductionmentioning

confidence: 99%

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Phases and phase transitions in the algebraic microscopic shell model

Georgieva

Drumev

2016

EPJ Web of Conferences

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Abstract. We explore the dynamical symmetries of the shell model number conserving algebra, which define three types of pairing and quadrupole phases, with the aim to obtain the prevailing phase or phase transition for the real nuclear systems in a single shell. This is achieved by establishing a correspondence between each of the pairing bases with the Elliott's SU(3) basis that describes collective rotation of nuclear systems. This allows for a complete classification of the basis states of different number of particles in all the limiting cases. The probability distribution of the SU(3) basis states within theirs corresponding pairing states is also obtained. The relative strengths of dynamically symmetric quadrupole-quadrupole interaction in respect to the isoscalar, isovector and total pairing interactions define a control parameter, which estimates the importance of each term of the Hamiltonian in the correct reproduction of the experimental data for the considered nuclei.

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Spherical Nuclei with Simple Residual Forces

Cited by 1,214 publications

References 40 publications

Dynamical symmetry of isobaric analog0+states in medium mass nuclei

Dynamical symmetry of isobaric analog0+states in medium mass nuclei

Improvement of the extended interaction by modifying the monopole field

Phases and phase transitions in the algebraic microscopic shell model

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