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Calculation of \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}\end{document}Be in an α-α-Λ Three-Body Model Using the Faddeev Equations
被引：0
作者：
S. Oryu
H. Kamada
H. Sekine
H. Yamashita
M. Nakazawa
机构：
[1] Department of Physics,
[2] Faculty of Science and Technology,undefined
[3] Frontier Research Center for Computational Sciences,undefined
[4] Science University of Tokyo,undefined
[5] Noda,undefined
[6] Chiba 278,undefined
[7] Japan,undefined
[8] Institut für Theoretische Physik II,undefined
[9] Ruhr-Universität Bochum,undefined
[10] D-44780 Bochum,undefined
[11] Germany,undefined
关键词：
Contour Plot;
Resonance State;
Partial Wave;
Alpha Particle;
Core State;
D O I：
10.1007/s006010070026
中图分类号：
学科分类号：
摘要：
The hypernucleus \documentclass[12pt]{minimal}
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\begin{document}\end{document}Be is investigated in an α-α-Λ three-body model using the Faddeev formalism. We use an α-α interaction in which the Pauli-forbidden states are correctly taken into account and we employ some phenomenological potentials between the α and Λ particles. We obtained two bound states for \documentclass[12pt]{minimal}
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\begin{document}\end{document} and \documentclass[12pt]{minimal}
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\begin{document}\end{document}, and three resonance states of \documentclass[12pt]{minimal}
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\begin{document}\end{document}. We studied the properties of these states by calculating the components and the expectation values of the potential for each partial wave. It is found that a few channels dominate in the α (α, Λ) and \documentclass[12pt]{minimal}
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\begin{document}\end{document} states, so that the alpha-clusters or the 8Be core are still alive in the nucleus. In a case where the two alpha particles are fixed on an axis the contour plots of the distribution of the Λ particle are shown. With the assistance of these plots one can visually understand that some of them are shell-model-like states while others are well developed cluster-model-like states. For the structure of \documentclass[12pt]{minimal}
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\begin{document}\end{document}Be, it is concluded that the Λ particle is loosely coupled in S- and P-wave orbits about the 8Be(0+) and 8Be(2+) core states. Finally, we discuss a redundant state in the Faddeev amplitude which could arise from the treatment of symmetrization.
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页码：103 / 129
页数：26
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