Self-Similar Strcture Shell Model

  • In Order to extend the conventional shell model(SM) calculation with harmonic oscillator bases to halo nuclei, a self-similar, structure shell model(SSM) is proposed. The SSM is achieved by a rescaling of both the Kinetic and potential energy term of the harmonic oscillator and a mean field imitation, so that the single particle orbit in SSM has state (orbit) -dependent frequency. The large r. m. s. radius and the thick neutron skin for halo nuclei as well as the bound state properties of Borromean nuclei such as 6He, 11Li and 14Be can be reproduced.
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  • [1] Anagnostatos G S.in:edit by Yu.E.Penionzbkevich,R.Kalpakiev.Proceedings of the International Conference on Exotic Nuclei.Foros,Crima:1991,104[2]Hoshino T,Sagawa H,Arima A.Nucl.Phys.,1990,A506(2):27l-292[3]Wang Zhengda,Zhang Xiaodong,Wang Xiaochun et al Z.Phys.,1996,A356(3):255-258[4]Wang Zhengda,Zhang Xiaodong,Wang Xiaochun et al.Commun.inTheor.Phys.1997,27(1):49-56;Chin.Phys.Lett,1995,12(l2):705-708[5]Zhukov M V,Danilin B V,Fedorov D V,et al.Phys.Rep.,1993.231(4):151-199[6]Zhukov M V,Korshenimikov A A,Smedberg M H Phys.Rev.,1994,C50(1):R1-R4.[7]Tanihata I,Kobayashi T,Yamakawa O.Phys.Lett,1988,B286(4):592[8]Kobayashi T,Yamakawa O,Omata K.Phys.Rev.Lett.,1988,68(25):2599-2602[9]Isao Taniata,Study of Light-Exotic Nuclei Using Radio active Nuclear Beams,Talk Given at the Dutna School-Seminar May,1993;RlKEN-AF-NP-157(June1993)[10]Hansen P G Nucl.Phys.,1993,A553(1):89c-106c[11]Riisager R,et al.Nucl.Phys.,1992,A540(1,2):365-382[12]Sven Gosta Nilsson,Binding States of Individual Nucleons in Strongly Deformed Nuclei.Mat.Fys.Medd.Dan.Vid.Selsk.29,no.16(1955)(ed2,1960).7-12[13]Aage Bohr,Ben R.Mottelson.Nuclear Structure.Benjamin,New York:1975.VolumeⅡ,218-220[14]Zeng Xianghua,Wang Zhengda.Chin.J.Nucl.Phys.,1993.15(4):352-356
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Wang Zhengda, Zhang Xiaodong, Wang Xiaochun and Wang Xiaobin. Self-Similar Strcture Shell Model[J]. Chinese Physics C, 1998, 22(4): 333-340.
Wang Zhengda, Zhang Xiaodong, Wang Xiaochun and Wang Xiaobin. Self-Similar Strcture Shell Model[J]. Chinese Physics C, 1998, 22(4): 333-340. shu
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Received: 1900-01-01
Revised: 1900-01-01
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Self-Similar Strcture Shell Model

    Corresponding author: Wang Zhengda,
  • Institute of Modern Physics, The Chinese Academy of Seiences, Lanzhou 7300002 Department of Modern Physics, Lanzhou University, Lanzhou 7300003 University of Science and Technology of China, Hefei 230026

Abstract: In Order to extend the conventional shell model(SM) calculation with harmonic oscillator bases to halo nuclei, a self-similar, structure shell model(SSM) is proposed. The SSM is achieved by a rescaling of both the Kinetic and potential energy term of the harmonic oscillator and a mean field imitation, so that the single particle orbit in SSM has state (orbit) -dependent frequency. The large r. m. s. radius and the thick neutron skin for halo nuclei as well as the bound state properties of Borromean nuclei such as 6He, 11Li and 14Be can be reproduced.

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