State Densities of Deformed Nuclei Based on Axisymmetric Harmonic Oscillator Potential

  • On the premise of considering Pauli exclusion principle strictly,we have obtained an exact general formula of multiparticle and multi-hole state densities for any single-particle Hamiltonian.Besides,under the semi-classical Thomas-Fermi approximation,for deformed nuclei.we have derived a completely analytic expression of state densities based on axisymmetric harmonic oscillator potential.By means of this expression,we have calculated the state densities of g1p1h,g1p2h,g2p1h,g2p2h and their corresponding cumulative state densities of N1p1h,N1p2h,N2p1h,N2p2h,and made comparisons with the results based on the three-dimensional linear harmonic oscillator potential.The results indicate that for medium-heavy nuclei,deformation parameter has a great effect on state densities.
  • 加载中
  • [1] H. A. Bethe, Phys. Rev., 50(1936), 332.[2] H. A. Bethe, Mod. Phys., 9(1937), 69[3] G. Rohr, in Neutron-Capture Gamma-Ray Spectroscopy (1981), edited by T. Von Egidy and F. Gonnenwein, Iop Conference Proceeding n°62 (Institute of Physics, London, 1982), p. 332.[4] J. Winter and P. Schuck, in Time Dependent Hartree-Fock and Beyond, edited by K. Goeke and J.Reinhard, Lecture Notes in Physics, Vol, 171 (Springer, New York, 1982), p. 190.[5] R. W. Hasse and P. Chuck, Nucl. Phys., A438(1985), 157.[6] M. Blann, Annu. Rev. Nucl. Sci., 25(1975), 123.[7] J. J. Griffin, Phys. Rev. Lett., 17(1966), 479.[8] C. K. Cline and H. Blann, Nucl. Phys., A172(1971), 225.[9] G. Chosh, R. W. Hasse, P. Schuck and J. Winter, Phys. Rev. Lett., 50(1983), 1250.[10] A. H. Blin, B. Hiller, R. W. Hasse and P. Schuck, J. Phys., 45(1984), c231.[11] A. H. Blin, R. W. Hasse, B. Hiller and C. Yannouleas, GSI-85-86(1985).[12] 杨显俊、张竞上、卓益忠,高能物理与核物理,14(1989),1102,[13] J. S. Zhang and X. J. Yang, Z. Phys. A-Atomic Nuclei, 329(1988), 69.[14] I. Kanestrcpm, Nucl. Phys., 83(1966), 380.[15] S. Bjornholm, A. Bohr and B. R. Mottlson, in Phys. and Chem. of Fission, 1973 (IAEA, Vienna, 1974),Vol. 1, p. 367.[16] M. A. Preston, R. K. Bhaduri, Structure of the Nucleus, Addition Wesley Publishing Company, Inc. Reading, Massechusetts (1975) p. 410[17] A. De. Shalit, H. Feshbach, Theoretical Nuclear Physics V. 1 John Wiley and Sons, lnc., New York(1974) p. 442.
  • 加载中

Get Citation
YANG Xian-Jun and FAN Xi-Pei. State Densities of Deformed Nuclei Based on Axisymmetric Harmonic Oscillator Potential[J]. Chinese Physics C, 1992, 16(5): 431-438.
YANG Xian-Jun and FAN Xi-Pei. State Densities of Deformed Nuclei Based on Axisymmetric Harmonic Oscillator Potential[J]. Chinese Physics C, 1992, 16(5): 431-438. shu
Milestone
Received: 1900-01-01
Revised: 1900-01-01
Article Metric

Article Views(2221)
PDF Downloads(435)
Cited by(0)
Policy on re-use
To reuse of subscription content published by CPC, the users need to request permission from CPC, unless the content was published under an Open Access license which automatically permits that type of reuse.
通讯作者: 陈斌, bchen63@163.com
  • 1. 

    沈阳化工大学材料科学与工程学院 沈阳 110142

  1. 本站搜索
  2. 百度学术搜索
  3. 万方数据库搜索
  4. CNKI搜索

Email This Article

Title:
Email:

State Densities of Deformed Nuclei Based on Axisymmetric Harmonic Oscillator Potential

    Corresponding author: YANG Xian-Jun,
  • Physics Department,Guizhou Institute for Nationalities,Guiyang 550025

Abstract: On the premise of considering Pauli exclusion principle strictly,we have obtained an exact general formula of multiparticle and multi-hole state densities for any single-particle Hamiltonian.Besides,under the semi-classical Thomas-Fermi approximation,for deformed nuclei.we have derived a completely analytic expression of state densities based on axisymmetric harmonic oscillator potential.By means of this expression,we have calculated the state densities of g1p1h,g1p2h,g2p1h,g2p2h and their corresponding cumulative state densities of N1p1h,N1p2h,N2p1h,N2p2h,and made comparisons with the results based on the three-dimensional linear harmonic oscillator potential.The results indicate that for medium-heavy nuclei,deformation parameter has a great effect on state densities.

    HTML

Reference (1)

目录

/

DownLoad:  Full-Size Img  PowerPoint
Return
Return