RESONANCE GROUP METHOD FOR OMITTING EXCHANGE EFFECTS OF NUCLEAR CORE

WANG Li-Hong; ZENG Fan-An; ZHAO Xuan

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《中国物理C》（英文）编辑部

2024年10月30日

Chinese Physics C> 1984, Vol. 8> Issue(3) : 328-336

RESONANCE GROUP METHOD FOR OMITTING EXCHANGE EFFECTS OF NUCLEAR CORE

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Abstract：
(a) In order to avoid the tedious calculation in RGM, a reduced RGM which omit the exchange effects of nuclear core is proposed starting from physic considerations (Briefly, this is called QRGM). For a three-cluster system A+(BC), if C is a double-closed cluster, the QRGM abandons the antisymmetric procedure and various exchange forces between nuclear core C and other two clusters, but it still retains those between other non-closed clusters. (b) According to this model, the general formulae of three-cluster system under single channel treatment are derived. (c) Using the QRGM to d+a system, the phase shifts and differential cross sections of elastic scattering processes are calculated and the results agree well to the experiment data. This shows essentially that the QRGM is simple and effective (It is worth mentioning that by using QRGM. The satisfactory results are also obtained in the study of three-cluster system n+⁶Li(d+a). We shall report this in another paper.) (d) The exchange effects in d+a scattering is discussed.

References

[1]

K. Wildermuth and Y. C. Tang, A Unified Theory of the Nuceleus.[2] John M. Blatt and Victor F. Weisskopf, Theoretical Nuclear Physics.[3] D. R. Thompson and Y. C. Tang, Phys. Rev, C8(1973), 1649.[4] F. S. Chwieroth, Y. C. Tang and D. R. Thompson, Nucl. Phys., 244(1971), 346[5] D. R. Thompson and Y. C. Tang, Phys. Rev., 179(1969), 971.[6] 凌有光、赵立, n十6Li散射态中6Li的集团结构和交换效应, 将发表.

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WANG Li-Hong, ZENG Fan-An and ZHAO Xuan. RESONANCE GROUP METHOD FOR OMITTING EXCHANGE EFFECTS OF NUCLEAR CORE[J]. Chinese Physics C, 1984, 8(3): 328-336.

WANG Li-Hong, ZENG Fan-An and ZHAO Xuan. RESONANCE GROUP METHOD FOR OMITTING EXCHANGE EFFECTS OF NUCLEAR CORE[J]. Chinese Physics C, 1984, 8(3): 328-336. 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

RESONANCE GROUP METHOD FOR OMITTING EXCHANGE EFFECTS OF NUCLEAR CORE

Corresponding author: WANG Li-Hong,

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

Abstract: (a) In order to avoid the tedious calculation in RGM, a reduced RGM which omit the exchange effects of nuclear core is proposed starting from physic considerations (Briefly, this is called QRGM). For a three-cluster system A+(BC), if C is a double-closed cluster, the QRGM abandons the antisymmetric procedure and various exchange forces between nuclear core C and other two clusters, but it still retains those between other non-closed clusters. (b) According to this model, the general formulae of three-cluster system under single channel treatment are derived. (c) Using the QRGM to d+a system, the phase shifts and differential cross sections of elastic scattering processes are calculated and the results agree well to the experiment data. This shows essentially that the QRGM is simple and effective (It is worth mentioning that by using QRGM. The satisfactory results are also obtained in the study of three-cluster system n+⁶Li(d+a). We shall report this in another paper.) (d) The exchange effects in d+a scattering is discussed.