Total Reaction Cross Section of Nucleus-Nucleus Collision and Density Distributions of Halo Nuclei

  • The total reaction cross sections of some halo nucleis on the stable nucleus have been calculated by using improved Glauber theory, which includes quantum correction, Coulomb correction and isospin effects of nucleon-nucleon collision under the assumption of the effective nuclear density distribution. The effects of halo structure on the total reaction cross section of the halo nucleus on the stable nucleus have been investigated. It is found that one can get a satisfactory agreement between the calculation results and the experimental data after considering the halo structure of halo nuclei, such as 11Be,14Be and 11Li, which means the different mean fields for the halo nuclei and stable nuclei. Meanwhile it is clear that the medium correction for nucleon-nucleon collision has little effect on the total reaction cross sections induced by halo nuclei due to the very weak binding and quite thin density, which is quite different from the reactions induced by stable nuclei with salient medium corrections.
    And then according to experimental total reaction cross section of halo nucleus on stable nucleus we have gotten the density distributions of halo nuclei 11Be,14Be and 11Li with a long tail of halo neutron distribution and root mean square (RMS) radii of them. It is obvious that the large RMS radii and extended density distribution in comparison with their neighborhood nuclei demonstrate that 11Be,14Be and 11Li are typical halo nuclei.
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  • [1] . Tosaka Y ,Suzuki Y .Nucl.Phys.,1990,A512:462. Bertsch G F ,Esbensen H .Ann of Phys.,1991,209:3273. DING DaZhao,CHEN YongShou,ZHANG HuanQiao.Progress of Nuclear Physics.ShangHai:Scientific Technical Press,1997.407—423(in Chinese)(丁大钊,陈永寿,张焕乔.原子核物理进展.上海:上海科学技术出版社,1997.407—423)4. GUO WenJun,JIANG HuanQing,LIU JianYe.High Energy Phys.and Nucl.Phys.,2001,25(11):1092(in Chinese)(郭文军,姜焕清,刘建业.高能物理与核物理,2001,25(11):1092) 5. Brittin W E et al.V1 N .Y :Intersciences.1959,315 6. Glauber R J, Matthiae G .Nucl.Phys.,1970,B21:135—1577. Ogawa Y ,Yabana K ,Suzuki Y .Nucl.Phys.,1992,A54:3722 8. FANG D Q ,SHEN W Q et al.Chin.Phys.Lett.,2000,V17:655 9. MA Y G et al.Phys.Rev.,1993,C48:850 10. MA Y G et al.Phys.Lett.,1993,B302:38611. Chiang H C ,Hufner J. Nucl.Phys.,1980,A349:466—48212. Simbel M H ,Hufner J,Chiang H C .Phys.Lett.,1980,B94:11 13. Blatt J M ,WeissKopf V F .Theoretical Nuclear Physics.New York:Wiley,1963 14. Charagi S K ,Gupta S K .Phys.Rev.,1990,C41:1610 15. Alkahzov G et al.Nucl.Phys.,1977,A280:36516. Tanihata I et al.Phys.Lett.,1992,B287:30717. Tanihata I et al.Phys.Lett.,1988,B206:592 18. Ozawa A ,Tanihata I et al.Nucl.Phys.,1996,A608:63—76 19. Zahar M ,Belbot M et al.Phys.Rev.,1994,C49:154020. Kox S et al.Phys.Rev.,1987,C35:167821. Tanihata I.Nucl.Phys.,1988,A488:113c 22. Tanihata I et al.Phys.Rev.Lett.,1985,V55:2676 23. Fukuda M et al.Phys.Lett.,1991,B268:339
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GUO Wen-Jun, JIANG Huan-Qing and LIU Jian-Ye. Total Reaction Cross Section of Nucleus-Nucleus Collision and Density Distributions of Halo Nuclei[J]. Chinese Physics C, 2001, 25(12): 1206-1212.
GUO Wen-Jun, JIANG Huan-Qing and LIU Jian-Ye. Total Reaction Cross Section of Nucleus-Nucleus Collision and Density Distributions of Halo Nuclei[J]. Chinese Physics C, 2001, 25(12): 1206-1212. shu
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Received: 2000-12-27
Revised: 1900-01-01
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Total Reaction Cross Section of Nucleus-Nucleus Collision and Density Distributions of Halo Nuclei

    Corresponding author: GUO Wen-Jun,
  • Center of Theoretical Nuclear Physics, National Laboratory of Heavy Ion Accelerator, Lanzhou 730000, China2 Institute of Modern Physics, The Chinese Academy of Sciences, Lanzhou 730000, China3 Institute of High Energy Physics, The Chinese Academy of Sciences, Beijing 100039, China

Abstract: The total reaction cross sections of some halo nucleis on the stable nucleus have been calculated by using improved Glauber theory, which includes quantum correction, Coulomb correction and isospin effects of nucleon-nucleon collision under the assumption of the effective nuclear density distribution. The effects of halo structure on the total reaction cross section of the halo nucleus on the stable nucleus have been investigated. It is found that one can get a satisfactory agreement between the calculation results and the experimental data after considering the halo structure of halo nuclei, such as 11Be,14Be and 11Li, which means the different mean fields for the halo nuclei and stable nuclei. Meanwhile it is clear that the medium correction for nucleon-nucleon collision has little effect on the total reaction cross sections induced by halo nuclei due to the very weak binding and quite thin density, which is quite different from the reactions induced by stable nuclei with salient medium corrections.
And then according to experimental total reaction cross section of halo nucleus on stable nucleus we have gotten the density distributions of halo nuclei 11Be,14Be and 11Li with a long tail of halo neutron distribution and root mean square (RMS) radii of them. It is obvious that the large RMS radii and extended density distribution in comparison with their neighborhood nuclei demonstrate that 11Be,14Be and 11Li are typical halo nuclei.

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