A MICROSCOPIC CALCULATION OF THE COLLECTIVE SPECTRA OF THE NEUTRON CONFIGURATIONS (CLOSED SHELLS)50 (d5/2g7/2s1/2d3/2h1/2)12 BASED ON DYSON REPRESENTATION OF THE INTERACTING BOSON MODEL

LIU YONG; TIAN XIAO-CEN; YANG TSE-SEN

Chinese Physics C> 1983, Vol. 7> Issue(6) : 724-734

A MICROSCOPIC CALCULATION OF THE COLLECTIVE SPECTRA OF THE NEUTRON CONFIGURATIONS (CLOSED SHELLS)⁵⁰ (d_5/2g_7/2s_1/2d_3/2h_1/2)¹² BASED ON DYSON REPRESENTATION OF THE INTERACTING BOSON MODEL

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Abstract：
A microscopic calculation of the collective spectra of the neutron configurations (closed shells)⁵⁰ (d_5/2g_7/2s_1/2d_3/2h_11/12)¹² is made based on the Dyson representation of the interacting boson model (IBM). The effective nucleon-nucleon interaction consists of a pairing force, a quadrupole pairing force and a quadrupole-quadrupole force. The wave functions of the three-dimensional isotropic harmonic oscillator are used for one-particle states, but the one-particle energies are chosen empirically by refering to the data of Cd¹¹⁰. For a rater wide region of the values of the effective interaction strength parameters calculations are performed to determine microscopically the s, d bosons and the IBM Hamiltonian and to diagonalize the IBM Hamiltonian thus obtained and to analyze the effects of the three parts of the effective nucleonnucleon interaction. We find that for appropriate values of the strength parameters of the effective interaction the calculated vibrational spectrum is in agreement with the experimental data of Cd¹¹⁰ and that by adjusting these parameter it is possible to reflect imitatively the transition from vibrational states to rotational ones.

References

[1]	杨泽森, 杨立铭, 会议文集, Interacting Bose-Fermi Systems In Nuclei, ed. F. Iachello (Plcnum New York, 1981).[2] 杨泽森, 刘庸, 田晓岑, 高能物理与核物理, 6(1982), 472,[3] A. Bohr and B. R. Mottelson, Preprint NORDITA 80/19.[4] A. Anima and F. Iachello, Ann. Phys., (N. Y.) 99(1976), 253.

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LIU YONG, TIAN XIAO-CEN and YANG TSE-SEN. A MICROSCOPIC CALCULATION OF THE COLLECTIVE SPECTRA OF THE NEUTRON CONFIGURATIONS (CLOSED SHELLS)⁵⁰ (d_5/2g_7/2s_1/2d_3/2h_1/2)¹² BASED ON DYSON REPRESENTATION OF THE INTERACTING BOSON MODEL[J]. Chinese Physics C, 1983, 7(6): 724-734.

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Received: 1900-01-01
Revised: 1900-01-01

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沈阳化工大学材料科学与工程学院沈阳 110142

A MICROSCOPIC CALCULATION OF THE COLLECTIVE SPECTRA OF THE NEUTRON CONFIGURATIONS (CLOSED SHELLS)⁵⁰ (d_5/2g_7/2s_1/2d_3/2h_1/2)¹² BASED ON DYSON REPRESENTATION OF THE INTERACTING BOSON MODEL

Received Date: 1900-01-01
Accepted Date: 1900-01-01
Available Online: 1983-12-05

Abstract: A microscopic calculation of the collective spectra of the neutron configurations (closed shells)⁵⁰ (d_5/2g_7/2s_1/2d_3/2h_11/12)¹² is made based on the Dyson representation of the interacting boson model (IBM). The effective nucleon-nucleon interaction consists of a pairing force, a quadrupole pairing force and a quadrupole-quadrupole force. The wave functions of the three-dimensional isotropic harmonic oscillator are used for one-particle states, but the one-particle energies are chosen empirically by refering to the data of Cd¹¹⁰. For a rater wide region of the values of the effective interaction strength parameters calculations are performed to determine microscopically the s, d bosons and the IBM Hamiltonian and to diagonalize the IBM Hamiltonian thus obtained and to analyze the effects of the three parts of the effective nucleonnucleon interaction. We find that for appropriate values of the strength parameters of the effective interaction the calculated vibrational spectrum is in agreement with the experimental data of Cd¹¹⁰ and that by adjusting these parameter it is possible to reflect imitatively the transition from vibrational states to rotational ones.