State Densities of Deformed Nuclei Based on Axisymmetric Harmonic Oscillator Potential

YANG Xian-Jun; FAN Xi-Pei

Chinese Physics C> 1992, Vol. 16> Issue(5) : 431-438

State Densities of Deformed Nuclei Based on Axisymmetric Harmonic Oscillator Potential

YANG Xian-Jun ^, ,
FAN Xi-Pei

Physics Department,Guizhou Institute for Nationalities,Guiyang 550025

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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 g_1p1h,g_1p2h,g_2p1h,g_2p2h and their corresponding cumulative state densities of N_1p1h,N_1p2h,N_2p1h,N_2p2h,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.

References

[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.

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[19]	ZHOU Yuan-Hai , JIANG De-Sun , QIAN Wen-Jia , GONG Xue-Hui . THE HEAVY QUARKONIUM SPECTRUM OF ANHARMONIC OSCILLATORS CONFINEMENT POTENTIAL. Chinese Physics C, 1987, 11(2): 202-207.
[20]	CHU CHUNG-YUAN AN ING , . A MODEL OF THE STRUCTURE OF MESONS WITH A COVARIANT OSCILLATOR POTENTIAL. Chinese Physics C, 1977, 1(1): 47-51.

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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

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Received: 1900-01-01
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通讯作者: 陈斌, [email protected]

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沈阳化工大学材料科学与工程学院沈阳 110142

State Densities of Deformed Nuclei Based on Axisymmetric Harmonic Oscillator Potential

Corresponding author: YANG Xian-Jun,

Physics Department,Guizhou Institute for Nationalities,Guiyang 550025

Received Date: 1900-01-01

Accepted Date: 1900-01-01

Available Online: 1992-05-05

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 g_1p1h,g_1p2h,g_2p1h,g_2p2h and their corresponding cumulative state densities of N_1p1h,N_1p2h,N_2p1h,N_2p2h,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.

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State Densities of Deformed Nuclei Based on Axisymmetric Harmonic Oscillator Potential

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