ENERGY DEPENDENCE OF G MATRIX AND RPA

YANG Shan-De; LANG Si-Xin; WANG Ke-Xie; WU Shi-Shu

Chinese Physics C> 1984, Vol. 8> Issue(3) : 337-345

ENERGY DEPENDENCE OF G MATRIX AND RPA

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Abstract：
The effect of energy dependence (ED) of the G matrix on RPA is investigated. Using the Hamada-Johnston potential, we calculate the 1p-1h TDA spectra of ¹⁶O. The following four cases are considered: (1) every G matrix element is approximated by its on shell value, (2) ED of G is taken intoaccount rigorously, (3) the effect of self-screening (SC) is considered, but the G matrix elements are assumed on the energy shell, (4) both SC and ED of G are taken into account. It is found that ED of G indeed causes a substantial damping effect on the backward-propagating bubbles of RPA as suggested by Wu. Further, ED of G and SC work in the same direction to diminish the difference between the energy spectra calculated by TDA and RPA.

References

[1]

G. F. Benson, Nucl. Phys., 74(1965), 234.[2] T. T. S. duo et al., Nucl. Phys., A103(1967), 71.[3] M. W. Kirson, Ann. Phys. 66(1971), G24, 68(1971), 556.[4] T. T. S. Kuo et al., Nudl. Phys., A226(1974), 204.[5] E. Osnes et al, Nucl. Phys. A168 (1971) , I90.[6] 吴式枢, 中国科学, 5(1974), 471.[7] H.Bando et al., Nucl. Phys., A273(1976), 95,A294(1978), 191[8] K. Ando et al, Nucl. Phys., A309(1978), 59.[9] 吴式枢, 高能物理与核物理, 2(1978), 10,[10] T. Hamada et al, Nucl. Phys., 34(1962), 382.

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YANG Shan-De, LANG Si-Xin, WANG Ke-Xie and WU Shi-Shu. ENERGY DEPENDENCE OF G MATRIX AND RPA[J]. Chinese Physics C, 1984, 8(3): 337-345.

YANG Shan-De, LANG Si-Xin, WANG Ke-Xie and WU Shi-Shu. ENERGY DEPENDENCE OF G MATRIX AND RPA[J]. Chinese Physics C, 1984, 8(3): 337-345. shu

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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

ENERGY DEPENDENCE OF G MATRIX AND RPA

Corresponding author: YANG Shan-De,

Received Date: 1900-01-01
Accepted Date: 1900-01-01
Available Online: 1984-06-05

Abstract: The effect of energy dependence (ED) of the G matrix on RPA is investigated. Using the Hamada-Johnston potential, we calculate the 1p-1h TDA spectra of ¹⁶O. The following four cases are considered: (1) every G matrix element is approximated by its on shell value, (2) ED of G is taken intoaccount rigorously, (3) the effect of self-screening (SC) is considered, but the G matrix elements are assumed on the energy shell, (4) both SC and ED of G are taken into account. It is found that ED of G indeed causes a substantial damping effect on the backward-propagating bubbles of RPA as suggested by Wu. Further, ED of G and SC work in the same direction to diminish the difference between the energy spectra calculated by TDA and RPA.