Shell-Model Structure of<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:mmultiscripts><mml:mrow><mml:mi mathvariant="normal">Ca</mml:mi></mml:mrow><mml:mprescripts /><mml:mrow /><mml:mrow><mml:mn>4</mml:mn><mml:mn>2</mml:mn><mml:mo>−</mml:mo><mml:mn>5</mml:mn><mml:mn>0</mml:mn></mml:mrow><mml:mrow /><mml:mrow /></mml:mmultiscripts></mml:mrow></mml:math>

McGrory, J.B.; Wildenthal, B. H.; Halbert, E.C.

doi:10.1103/physrevc.2.186

Cited by 117 publications

(31 citation statements)

References 28 publications

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“…As for the former issue, although microscopic theories of effective interaction have been developed over decades, some empirical corrections are still needed for describing a wide range of nuclei belonging to a given shell. In particular, the monopole components of effective interactions-the parts responsible for the evolution of the shell structureare known to be subject to modification [2,3,5]. This so-called shell evolution plays a decisive role in the structure of exotic nuclei, and has been attracting much interest in this field.…”

Section: Introductionmentioning

confidence: 99%

Recent shell-model results for exotic nuclei

Utsuno

Otsuka

Shimizu

et al. 2014

EPJ Web of Conferences

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Abstract. We report on our recent advancement in the shell model and its applications to exotic nuclei, focusing on the shell evolution and large-scale calculations with the Monte Carlo shell model (MCSM). First, we test the validity of the monopole-based universal interaction (V MU ) as a shell-model interaction by performing large-scale shellmodel calculations in two different mass regions using effective interactions which partly comprise V MU . Those calculations are successful and provide a deeper insight into the shell evolution beyond the single-particle model, in particular showing that the evolution of the spin-orbit splitting due to the tensor force plays a decisive role in the structure of the neutron-rich N ∼ 28 region and antimony isotopes. Next, we give a brief overview of recent developments in MCSM, and show that it is applicable to exotic nuclei that involve many valence orbits. As an example of its applications to exotic nuclei, shape coexistence in 32 Mg is examined.

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Section: Introductionmentioning

confidence: 99%

Recent shell-model results for exotic nuclei

Utsuno

Otsuka

Shimizu

et al. 2014

EPJ Web of Conferences

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“…These flaws remind us of the divergence from experiment when the Kuo-Brown (KB) interaction [16] is applied to systems of many valence nucleons 48 Ca, 49 Ca etc [17]. The divergence was cured by modifying the monopole components of the T = 0 and T = 1 interaction matrix elements [18,19].…”

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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“…On the other hand, for heavier nuclei, the existing data are neither complete nor consistent. In many cases calculations are limited to selected nuclei with wave functions created by imposing various limitations on the model space and by employing various interactions (McGrory 1970, Meuders et al 1976, Koops and Glaudemans 1977, Van Hees and Glaudemans 1979, Kutschera et al 1978, Poves and Zuker 1981, Muto et al 1978, Cole 1985, McCullen et al 1964. The necessity to employ various truncated model spaces is dictated by the diagonalization procedure of matrices with enormously large dimensions.…”

Section: Introductionmentioning

confidence: 99%

Spectroscopic amplitudes for one-nucleon transfer between 1p0f-shell nuclei

Kwasniewicz¹,

Herndl²

1994

J. Phys. G: Nucl. Part. Phys.

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Abstract. Spectroscopic amplitudes are calculated for one-nucleon transfer between low-lying, normal-parity states of nuclei in the lower part of the 1p0 f-shell. Calculations are performed using shell-model wave functions obtained from the diagonalization procedure of a nuclear Hamiltonian in the space given by the complete set of states generated from the 1p 3/2 , 1p 1/2 , 0 f 7/2 and 0 f 5/2 orbits. The Hamiltonian contains one and two body interactions derived recently by Richter et al . Sum rules for one-nucleon pick-up and stripping reactions are given. The selectivity in excitation of the final states induced by one-nucleon pick-up or stripping is discussed.

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Shell-Model Structure ofCa42−50

Cited by 117 publications

References 28 publications

Recent shell-model results for exotic nuclei

Recent shell-model results for exotic nuclei

Improvement of the extended interaction by modifying the monopole field

Spectroscopic amplitudes for one-nucleon transfer between 1p0f-shell nuclei

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