CHHE-MRT Method and Its Application in Three-Body Problem

Xu Ding-An; LI Shi-Qing; LIU Fu-Qing; JIAO Shu-Qing

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2024年10月30日

Chinese Physics C> 1992, Vol. 16> Issue(6) : 546-551

CHHE-MRT Method and Its Application in Three-Body Problem

Physics Department,Wuhan University,430072

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Abstract：
Based on "Hybrid Method" by Dzhibuti,a CHHE-MRT method is suggested for threebody problem,which overcomes the difficulty of infinite integral of oscillatory Bassel functions in hybrid method,and enables us to study the bound states and scattering states of three-body problem by using Gauss,Exponential and Yukawa potential.

References

[1]

L. D. Faddeev, Zh, Eksp. Teor. Fiz., 39(1960), 1459; Sov.Phys. JETP., 12(1961), 1014[2] E. O. Alt et al，Nucl, Phys., 1(1967), 167.[3] R. Amado. Phys. Rev., No132(1963), 485; Ann. Rev. Nucl, Sci,No19(1969),61.[4] D. J. Ernst et al., Phys. Rev., C8(1973), 46.[5] S. K. Adhikari et al，Nucl. Phys., A241(1975), 429. [6] S. K. Adhikari et al., Phys. Rev., C36(1987), 1275.[7] J. Haidenbauer et al., Phys. Rev., C32(1985), 1424.[8] M. Lacombe et al:, Phys. Rev., C21(1980), 861.[9] J. L, Friar et al., Phys, Rev., C42(1990), 2310.[10] Y. Koike, Phys. Rev., C42(1990), 2286.[11] T. A. Osbron, J. Math, Phys., No14, 373(1973), 1485.[12] R. I. Dzhibuti et al，Sov. J. Nucl. Phys., 40(5) (1984), 746; 41(4) (1985), 554; 43(4) (1986),530[13] F. Q. Liu et al., ACTA Mathematica Sci., 9(3) (1989), 355.[14] J. L. Ballot et al., Annals of Phys., 127(1980), 62[15] G. N. Watson, A Treatise in the Theory of Bessel Functions, Cambridge Uni. Press, (1962).[16] J. Raynal et al., Nuovo Cimento, A68(1970), 612.[17] R. I. Dzhibuti et al., Metod gipersfericheskikh funktsii V kvantovoi mekhanike neskol' kikhtel,Tbilisi,Metsniereba, (1984).[18] M. Beiver et al., Lett, Nuovo Cimento, 1(1971), 584.[19] A. B. Volkov, Nucl. Phys. Rev., 74(1965), 33.[20] L. Tomio et al., Phys. Rev., C22(1980), 28.[21] G. L. Payne, Phys,Rev,C22(1980), 823.[22] R. A. Malfliet and J. A. Tion, Nucl. Phys., A127(1969), 161.

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Xu Ding-An, LI Shi-Qing, LIU Fu-Qing and JIAO Shu-Qing. CHHE-MRT Method and Its Application in Three-Body Problem[J]. Chinese Physics C, 1992, 16(6): 546-551.

Xu Ding-An, LI Shi-Qing, LIU Fu-Qing and JIAO Shu-Qing. CHHE-MRT Method and Its Application in Three-Body Problem[J]. Chinese Physics C, 1992, 16(6): 546-551. 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

CHHE-MRT Method and Its Application in Three-Body Problem

Corresponding author: Xu Ding-An,

Physics Department,Wuhan University,430072

Received Date: 1900-01-01
Accepted Date: 1900-01-01
Available Online: 1992-06-05

Abstract: Based on "Hybrid Method" by Dzhibuti,a CHHE-MRT method is suggested for threebody problem,which overcomes the difficulty of infinite integral of oscillatory Bassel functions in hybrid method,and enables us to study the bound states and scattering states of three-body problem by using Gauss,Exponential and Yukawa potential.