SEVERAL PROBABLE QUESTIONS ON "A STUDY  OF A SEMICLASSICAL APPROXIMATIONS FOR HEAVY ION TRANSFER REACTIONS"

MIAO Rong-Zhi; XU Shu-Wei

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2024年10月30日

Chinese Physics C> 1984, Vol. 8> Issue(1) : 105-109

SEVERAL PROBABLE QUESTIONS ON "A STUDY OF A SEMICLASSICAL APPROXIMATIONS FOR HEAVY ION TRANSFER REACTIONS"

MIAO Rong-Zhi ^, ,
XU Shu-Wei

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Abstract：
The identity G(S,θ,π,0)=(－1)^{λ₁－λ₂}G(S,θ,0,0) is proved thus the transition amplitude's formula ((33), H-B,see[1]) stands good under the nonforward angular scattering conditions. The equation (ε₁-Δε₁-h²k₁²/2m_x⁾=(ε₂-Δε₂- h²k₂²/2m_x⁾ in Ref[1] may be questionable. The transfer amplitude's formula ((48), H-B) may be suitable only in post representation. The choice of different representations probablely influences the calculation results. The two symmetry properties of the transfer amplitude can simplify the numerical calculation.

References

[1]	H. Hasan and D. M. Brink, J. Phys. G: Nucl. Phys., 4 (1978), 1573.[2] T. Motobayashi et al., Nucl. Phys., A331 (1979), 193-212.[3] S. Cohen and D. Kurath, Nucl. Phys., A193 (1967), 164.[4] K. G. Nair et al., Phys. Rev., C12(1975). 1575.[5] I. Paschopoulos et al., Nucl. Phys., A252 (1975). 173.

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MIAO Rong-Zhi and XU Shu-Wei. SEVERAL PROBABLE QUESTIONS ON "A STUDY OF A SEMICLASSICAL APPROXIMATIONS FOR HEAVY ION TRANSFER REACTIONS"[J]. Chinese Physics C, 1984, 8(1): 105-109.

MIAO Rong-Zhi and XU Shu-Wei. SEVERAL PROBABLE QUESTIONS ON "A STUDY OF A SEMICLASSICAL APPROXIMATIONS FOR HEAVY ION TRANSFER REACTIONS"[J]. Chinese Physics C, 1984, 8(1): 105-109. 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

SEVERAL PROBABLE QUESTIONS ON "A STUDY OF A SEMICLASSICAL APPROXIMATIONS FOR HEAVY ION TRANSFER REACTIONS"

MIAO Rong-Zhi ^,
XU Shu-Wei

Corresponding author: MIAO Rong-Zhi,

Received Date: 1900-01-01
Accepted Date: 1900-01-01
Available Online: 1984-02-05

Abstract: The identity G(S,θ,π,0)=(－1)^{λ₁－λ₂}G(S,θ,0,0) is proved thus the transition amplitude's formula ((33), H-B,see[1]) stands good under the nonforward angular scattering conditions. The equation (ε₁-Δε₁-h²k₁²/2m_x⁾=(ε₂-Δε₂- h²k₂²/2m_x⁾ in Ref[1] may be questionable. The transfer amplitude's formula ((48), H-B) may be suitable only in post representation. The choice of different representations probablely influences the calculation results. The two symmetry properties of the transfer amplitude can simplify the numerical calculation.