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

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

近期发现有不法分子冒充我刊与作者联系，借此进行欺诈等不法行为，请广大作者加以鉴别，如遇诈骗行为，请第一时间与我刊编辑部联系确认（《中国物理C》（英文）编辑部电话：010-88235947,010-88236950），并作报警处理。

本刊再次郑重声明：

（1）本刊官方网址为cpc.ihep.ac.cn和https://iopscience.iop.org/journal/1674-1137

（2）本刊采编系统作者中心是投稿的唯一路径，该系统为ScholarOne远程稿件采编系统，仅在本刊投稿网网址（https://mc03.manuscriptcentral.com/cpc）设有登录入口。本刊不接受其他方式的投稿，如打印稿投稿、E-mail信箱投稿等，若以此种方式接收投稿均为假冒。

（3）所有投稿均需经过严格的同行评议、编辑加工后方可发表，本刊不存在所谓的“编辑部内部征稿”。如果有人以“编辑部内部人员”名义帮助作者发稿，并收取发表费用，均为假冒。

《中国物理C》（英文）编辑部

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

Abstract
HTML
Reference
Related

PDF

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.

[1]	TAO Ying-Juan , HU Ming-Liang , TIAN Dong-Ping , QIN Meng . Global Bipartite Entanglement in the Three-Qubit Heisenberg XXX Spin Chain with Impurity. Chinese Physics C, 2007, 31(10): 990-994.
[2]	ZUO Wei , LI Ang , LUO Pei-Yan , YONG Gao-Chan . Properties of Proto-Neutron Star and Effect of Three-Body Forces. Chinese Physics C, 2006, 30(10): 956-960.
[3]	ZUO Wei , LUO Pei-Yan , LI Bao-An , CHEN Ji-Yan , Lombardo U . Three-Body Force Rearrangement Contribution to Single Nucleon Potential in Nuclear Matter. Chinese Physics C, 2006, 30(9): 848-853.
[4]	ZUO Wei , LI Ang , CHEN Ji-Yan , LI Zeng-Hua . Kaon Condensation in Neutron Star Matter and Nuclear Three-Body Force Effect. Chinese Physics C, 2005, 29(7): 632-638.
[5]	ZUO Wei , LU Guang-Cheng , LI Zeng-Hua , LUO Pei-Yan . Critical Temperature of Lequid-gas Phase Transition for Hot Nuclear Matter and Three-body Force Effect. Chinese Physics C, 2005, 29(11): 1061-1066.
[6]	ZUO Wei , LU Guang-Cheng , LI Zeng-Hua , LUO Pei-Yan . Rearrangement Contribution to Single Nucleon Potential in Hot Nuclear Matter and Three-body Force Effect. Chinese Physics C, 2005, 29(12): 1162-1166.
[7]	ZUO Wei , Lombardo U , LIU Jian-Ye , LI Jun-Qing . Properties of Isospin Asymmetric Nuclear Matter and Extended BHF Approach(Ⅴ) Three -Body Force Effect on Single-Particle Potential. Chinese Physics C, 2003, 27(7): 585-589.
[8]	ZUO Wei . Effects of Three-body Forces and Relativistic Effect on Equation of State of Nuclear Matter. Chinese Physics C, 2002, 26(11): 1134-1141.
[9]	ZUO Wei , U.Lombardo , LIU Jian-Ye , LI Zeng-Hua , LI Jun-Qing . Properties of Isospin Asymmetric Nuclear Matter and Extended Brueckner-Hartree-Fock Approach (Ⅱ) Equation of State,Symmetry Energy and Three-Body Force Effects. Chinese Physics C, 2002, 26(12): 1238-1246.
[10]	Zhu Jiejie , Ruan Tunan . Three Body Amplitude Analysis of the Process a₂(1320)→π⁺π⁺π^－. Chinese Physics C, 1998, 22(4): 326-332.
[11]	Shen Qixing , Yu Hong , Zhang Lin . Study of the Boson Resonance Produced in the Three-Step Two-Body Decay Process of J/ψ. Chinese Physics C, 1995, 19(1): 16-26.
[12]	Di Yaomin . Three-Body Heritage Mixing Interaction and the Variance of Nuclear Moment of Inertia. Chinese Physics C, 1995, 19(6): 554-561.
[13]	Duan Yiwu . Three-Body Model of ¹¹Li. Chinese Physics C, 1995, 19(1): 59-63.
[14]	Shao Bin . Three-Body Iateraction Corrections on the O(6)Energy Spectra. Chinese Physics C, 1994, 18(12): 1124-1129.
[15]	LI Shiqing , XU Dingan , LIU Fuqing . Study of 3-α Cluster Ground State Using CHHE-MRT Method. Chinese Physics C, 1993, 17(12): 1116-1119.
[16]	WANG Huang-Sheng , LIAO Ji-Zhi . Correction to the Energy Spectra in the O(6) Limit by Three-Body Potential. Chinese Physics C, 1992, 16(10): 954-960.
[17]	DUAN Yi-Wu . Three-Body Structure and Interparticle Correlations of the Doubly Λ Hypernucleus ΛΛ6He. Chinese Physics C, 1991, 15(10): 913-918.
[18]	LI Xun-Gui . Three-body Dynamics of the Hypernucleus ⁹Be. Chinese Physics C, 1991, 15(4): 316-321.
[19]	KONG Xiang-Jing , LI Pan-Lin . About Three-Body Exit Channel in the Reaction ¹²C+¹⁶O at E_L(¹⁶O)=56MeV. Chinese Physics C, 1991, 15(8): 748-753.
[20]	Han Wen-shu , Zhuang Fei . THE RESONANCE OF THE CHAIN STRUCTURE STATES IN A(α,αx)B TYPE THREE-BODY REACTIONS. Chinese Physics C, 1980, 4(1): 121-127.

Access

Get Citation

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

RIS(for EndNote,Reference Manager,ProCite)

BibTex

Txt

Milestone

Received: 1900-01-01
Revised: 1900-01-01

Article Metric

Article Views(2292)
PDF Downloads(430)
Cited by(0)

Policy on re-use

To reuse of subscription content published by CPC, the users need to request permission from CPC, unless the content was published under an Open Access license which automatically permits that type of reuse.

通讯作者: 陈斌, bchen63@163.com

1.
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.