SINGLE PARTICLE AND SINGLE HOLE ENERGIES IN THE <SUP>16</SUP>O REGION

YANG SHAN-DE; JING XIAO-GONG; WANG KE-XIE; WU SHI-SHU

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2024年10月30日

Chinese Physics C> 1982, Vol. 6> Issue(4) : 480-490

SINGLE PARTICLE AND SINGLE HOLE ENERGIES IN THE ¹⁶O REGION

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Abstract：
Using the eigenvalue equation derived from the single particle (sp) Green's func-tion and the reaction (G) matrix based on the Hamada-Johnston potential, we havecalculated the sp energies of ¹⁷O and the sh (hole) energies of ¹⁵O as well as therelative magnitude of the corresponding transfer matrix elements. As a first step,we have only considered an approximation for the mass operator up to the first-orderin G, however the energy dependence of G has been taken into account properly. Theeigenvalue equation is solved by a self-consistent procedure (SCP). We have speci-fically investigated the rate of convergence of this SCP and that of the truncation ap-proximation. Further, the effect of the spurious center of mass motion and the depen-dence of our results on the input values of parameters of the harmonic oscillatorpotential which is used as the initial approximation of our SCP have also been studied.The calcuated results fit the experimental values quite well, though the method used ismuch simpler than the renormalized Brueckner-Hartree-Fock method.

References

[1]

J. P. Svenne, Advanes in Nuclear Physics, Vol. 11, p. 179 (Plenum press, New York, 1979).[2] 吴式枢等, 原子核物理, 2(1980), 193.[3] 吴式枢, 物理学报, 25(1976), 433,[4] B. R.- Barrett et al., Phys. Rev., C3(1971), 1137.[5] T. Hamada et al., Nucl. Phys., 34(1982), 882.[6] H. T. B. Daviea et al., Phys. Rev., C4(1971), 81; R. g. Tripathi et al., Phys. Rev., C10(1974),2080.[7] 王克协等,A=15相17原子核的单位能谱与核力势,高他物理与权物理,见本期.[8] R. L. Backer et al., Phys. Rev.Lett.,24(1970), 400; Phys. Rev.,C9(1974), 1221.

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[16]	WANG KE-XIE , JING XIAO-GONG , WU HUNG-CHU , YANG SHAN-DE , WU SHI-SHU . DEPENDENCE OF SINGLE PARTICLE AND SINGLE HOLE ENERGIES IN THE ¹⁶O REGION ON THE NUCLEAR FORCES. Chinese Physics C, 1982, 6(4): 525-528.
[17]	WU SHI-SHU . ON NUCLEAR SINGLE-PARTICLE POTENTIALS（Ⅲ）SINGLEPARTICLE ENERGIES DETERMINED BY THE NONHERMITIAN POTENTIAL U_αβ=M_αβ（ε_β）. Chinese Physics C, 1979, 3(4): 469-483.
[18]	Wu SHI-SHU . ON NUCLEAR SINGLE-PARTICLE POTENTIALS (Ⅳ) MANY-BODY FORCES. Chinese Physics C, 1979, 3(2): 240-243.
[19]	HE ZE-JUN , LEE PAN-LIN . THE MICROSCOPIC CALCULATION OF THE STATISTICAL THEORY OF NUCLEAR FISSION. Chinese Physics C, 1978, 2(4): 350-349.
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YANG SHAN-DE, JING XIAO-GONG, WANG KE-XIE and WU SHI-SHU. SINGLE PARTICLE AND SINGLE HOLE ENERGIES IN THE ¹⁶O REGION[J]. Chinese Physics C, 1982, 6(4): 480-490.

YANG SHAN-DE, JING XIAO-GONG, WANG KE-XIE and WU SHI-SHU. SINGLE PARTICLE AND SINGLE HOLE ENERGIES IN THE ¹⁶O REGION[J]. Chinese Physics C, 1982, 6(4): 480-490. shu

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Received: 1981-12-23
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

SINGLE PARTICLE AND SINGLE HOLE ENERGIES IN THE ¹⁶O REGION

Received Date: 1981-12-23
Accepted Date: 1900-01-01
Available Online: 1982-08-05

Abstract: Using the eigenvalue equation derived from the single particle (sp) Green's func-tion and the reaction (G) matrix based on the Hamada-Johnston potential, we havecalculated the sp energies of ¹⁷O and the sh (hole) energies of ¹⁵O as well as therelative magnitude of the corresponding transfer matrix elements. As a first step,we have only considered an approximation for the mass operator up to the first-orderin G, however the energy dependence of G has been taken into account properly. Theeigenvalue equation is solved by a self-consistent procedure (SCP). We have speci-fically investigated the rate of convergence of this SCP and that of the truncation ap-proximation. Further, the effect of the spurious center of mass motion and the depen-dence of our results on the input values of parameters of the harmonic oscillatorpotential which is used as the initial approximation of our SCP have also been studied.The calcuated results fit the experimental values quite well, though the method used ismuch simpler than the renormalized Brueckner-Hartree-Fock method.