THE RESONANCE OF THE CHAIN STRUCTURE STATES IN A(α,αx)B TYPE THREE-BODY REACTIONS

Han Wen-shu; Zhuang Fei

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《中国物理C》（英文）编辑部

2024年10月30日

Chinese Physics C> 1980, Vol. 4> Issue(1) : 121-127

THE RESONANCE OF THE CHAIN STRUCTURE STATES IN A(α,αx)B TYPE THREE-BODY REACTIONS

Han Wen-shu ,
Zhuang Fei

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Abstract：
In this Paper a calculable three-body T matrix with compact kernel is obtained by using multiplier's methods. The formulations for calculating the A（a, ax）B type three-body reaction trans-tion amplitudes are presented when plane wave or distorted wave is used for the incident and outgoing states. This T matrix also includes the resonance terms of the three-body chain struc-ture states besides quasi-free scattering terms and final states interaction terms. A calculable formulation for the resonance energy of chain structure states is presented when it is expanded approximately into two two-body bound states. For ⁸Be and ⁶Li as target nuclei, the resonance energies are calculated. The results are in good agreement with the experimental values and the theoretical values of a mole-cule-like model. In order to check this kind of resonances, some experiments are proposed.

References

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L. R. Dodd et al., Phys. Rev., 146(1966), 675.[2] S. T. Epstein, Phys. Rev., 106 (1957), 598.[3] R. Aaron et al., Phys. Rev., 121 (1961)，319.[4] P. A. Kazaks et al., Phys. Rev., C1 (1970)，857.[5] R. Sugar at al., Phys. Rev., I36 (1964), B472.[6] D. Epgel et al., Nucl. phys., A240 (1975)，437.[7] M. Jain et al., Nucl. Phys., A153 (1970), 49.[8] K. M. Watson, Phys. Rev., 88 (1952),1163. A. B. Migdal,28 (1955), 10.[9] P. A. Kazaks et al., Phys. Rev., C1 (1970)，1906.[10] A. K. Jain et al. Nucl. Phys., A142 (1970), 330.[11] H. Horiuchi et al., Prog, Theory. Phys. (Suppl.),52(1972), 89.[12] F. Ajzenberg-Selove, Nucl. Phys., A248 (1975).1.[13] D. R. Thompson et al., Phys. Rev., 179 (1969), 971.[14] F. Ajzenberg-Selove et al., Nucl. Phys., A227 (1974), 1.

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Han Wen-shu and Zhuang Fei. THE RESONANCE OF THE CHAIN STRUCTURE STATES IN A(α,αx)B TYPE THREE-BODY REACTIONS[J]. Chinese Physics C, 1980, 4(1): 121-127.

Han Wen-shu and Zhuang Fei. THE RESONANCE OF THE CHAIN STRUCTURE STATES IN A(α,αx)B TYPE THREE-BODY REACTIONS[J]. Chinese Physics C, 1980, 4(1): 121-127. shu

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Received: 1978-08-30
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

THE RESONANCE OF THE CHAIN STRUCTURE STATES IN A(α,αx)B TYPE THREE-BODY REACTIONS

Han Wen-shu
Zhuang Fei

Received Date: 1978-08-30
Accepted Date: 1900-01-01
Available Online: 1980-02-05

Abstract: In this Paper a calculable three-body T matrix with compact kernel is obtained by using multiplier's methods. The formulations for calculating the A（a, ax）B type three-body reaction trans-tion amplitudes are presented when plane wave or distorted wave is used for the incident and outgoing states. This T matrix also includes the resonance terms of the three-body chain struc-ture states besides quasi-free scattering terms and final states interaction terms. A calculable formulation for the resonance energy of chain structure states is presented when it is expanded approximately into two two-body bound states. For ⁸Be and ⁶Li as target nuclei, the resonance energies are calculated. The results are in good agreement with the experimental values and the theoretical values of a mole-cule-like model. In order to check this kind of resonances, some experiments are proposed.