THE INFLUENCE OF THE SELF-ENERGY DIAGRAMS ON THE SOLUTIONS OF A SCALAR BETHE SALPETER EQUATION

Li Bing-an; Xian Ding-chang; Yan Su; Chen Tian-lun; Yang Qing-zhu; Lu Jing-fa

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> 1980, Vol. 4> Issue(1) : 33-42

THE INFLUENCE OF THE SELF-ENERGY DIAGRAMS ON THE SOLUTIONS OF A SCALAR BETHE SALPETER EQUATION

Abstract
HTML
Reference
Related

PDF

Abstract：
The influence of the self-energy diagrams on the solutions of the Bethe-Salpe-ter equation is studied by taking a gφ₁*（x）φ₁（x）φ₂（x） interaction and under the ladder approximation. The results show for ground state solution, the self-energy diagrams will diminish the eigenvalues and alter the wave funetions slight-ly. While for the excited states and anti-symmetric solutions, the influence of theself-energy diagrams is considerable. which completely alters the properties of the solutions. The results also show that the solutions from the ladder approximationare meaningful only in the loosly bounded cases, and as the binding becomes tight,the contribution from the self-energy diagrams becomes important.

References

[1]	M .J. Levine, J. Wright, J. A. Tjon, Phys. Rev., 154(1967), 1433.[2] M. J. Levine, J. Wright, J. A. Tjon, Phys. R1969), 1416.[3] Zur Linden, Mitten Nuovo Cimento, 61B(1969), 389.[4] A. Pagnamenta, Nuovo Cimento, 53(1968), 30.[5] Schwartz, Phys. Rev., 137(1965), B717.

[1]	Liang-Liang Liu , Su-Jun Cui , Jing Xu , Xin-Heng Guo . Forward-backward asymmetries in ${\boldsymbol \Lambda_{\boldsymbol b} \boldsymbol\rightarrow \boldsymbol\Lambda l^+ l^- }$ in the Bethe-Salpeter equation approach. Chinese Physics C, 2022, 46(9): 093106. doi: 10.1088/1674-1137/ac7041
[2]	Zi-Kan Geng , Yue Jiang , Tianhong Wang , Hui-Wen Zheng , Guo-Li Wang . Isgur-Wise function in B_c decays to charmonium with the Bethe-Salpeter method. Chinese Physics C, 2021, 45(1): 013104. doi: 10.1088/1674-1137/abc16b
[3]	Hong-Wei Ke , Xiao-Hai Liu , Xue-Qian Li . Study on the possible molecular state composed of $ {{D}^ * _s} {\bar{{D}}_{{s1}}}$ within the Bethe-Salpeter framework. Chinese Physics C, 2020, 44(9): 093104. doi: 10.1088/1674-1137/44/9/093104
[4]	Liang-Liang Liu , Xian-Wei Kang , Zhen-Yang Wang , Xin-Heng Guo . Rare ${{\Lambda_b \rightarrow \Lambda l^+ l^- }}$ decay in the Bethe-Salpeter equation approach. Chinese Physics C, 2020, 44(8): 083107. doi: 10.1088/1674-1137/44/8/083107
[5]	Jian Liang , Wei Sun , Ying Chen , Wei-Feng Qiu , Ming Gong , Chuan Liu , Yu-Bin Liu , Zhao-Feng Liu , Jian-Ping Ma , Jian-Bo Zhang . Spectrum and Bethe-Salpeter amplitudes of Ω baryons from lattice QCD. Chinese Physics C, 2016, 40(4): 041001. doi: 10.1088/1674-1137/40/4/041001
[6]	M. Ghominejad , B. H. Yazarloo , S. Zarrinkamar , H. Hassanabadi . Two-body Spinless Salpeter equation for the Woods-Saxon potential. Chinese Physics C, 2013, 37(8): 083102. doi: 10.1088/1674-1137/37/8/083102
[7]	H. Hassanabadi , B. H. Yazarloo . Exact solutions of the Spinless-Salpeter equation under Kink-Like potential. Chinese Physics C, 2013, 37(12): 123101. doi: 10.1088/1674-1137/37/12/123101
[8]	Richard Williams , Christian S . Bethe-Salpeter equations: mesons beyond the rainbow-ladder truncation. Chinese Physics C, 2010, 34(9): 1500-1503. doi: 10.1088/1674-1137/34/9/084
[9]	YUE RuiHong , FAN Heng , CAO JunPeng . Coordinate Bethe Ansatz for Generalized t-J Model. Chinese Physics C, 2000, 24(3): 203-207.
[10]	Xi Xiaoqiang , Shi Kangjie , Hou Boyu , Fan Heng . Algebraic Bethe Ansatz for the Supersymmetric t-J Model With Reflecting Boundary Conditions in FBF Background. Chinese Physics C, 1999, 23(10): 961-979.
[11]	Bian Jianguo , Wang Jiahui . The Pseudo-scalar Solution of Bethe-Salpeter Equation in the Approximation of One Gluon Exchange. Chinese Physics C, 1994, 18(7): 591-600.
[12]	Chen Baoqiu , Ma Zhongyu . A Study of the Relativistic Microscopic Optical Potential Based on the Relativistic Brueckner-Bethe-Goldstone Equation. Chinese Physics C, 1992, 16(S1): 73-81.
[13]	CHEN Bao-Qiu , MA Zhong-Yu . An Investigation of Relativistic Microscopic Optical Potential in Terms of Relativistic Brueckner-Bethe-Goldstone Equation. Chinese Physics C, 1992, 16(2): 123-130.
[14]	DONG Yu-Bing , SU Jun-Chen . BETHE-SALPETER EQUATION FOR qq SYSTEM AND CALCULATION OF MESON SPECTRA. Chinese Physics C, 1989, 13(11): 1007-1016.
[15]	DAI You-Shan , SONG Xiao-Tong . THE BETHE-SALPETER EQUATION FOR SPIN (0—3/2) ELECTROMAGNETIC BOUND SYSTEM AND ITS APPROXIMATE SOLUTION. Chinese Physics C, 1986, 10(5): 527-535.
[16]	JU CHANG-SEN . THE DEPENDENCE OF OVERLAP INTEGRAL ON QUARK MASS IN BETHE-SALPETER THEORY. Chinese Physics C, 1982, 6(1): 25-29.
[17]	Tao Fu-zhen , Yao Qi-yuan , Ou Zhi , He Zhi-qiang . THE SPHERICAL SOLUTIONS OF THE SCALAR FIELD EQUATION IN SU (2) GAUGE FIELD THEORY. Chinese Physics C, 1980, 4(2): 179-185.
[18]	Ruan Tu-nan , Zhu Xi-quan , He Zho-xiu . DERIVATION OF A QUASIPOTENTIAL EQUATION FROM AN EQUATION OF THE BE THE-SALPETER TYPE. Chinese Physics C, 1980, 4(2): 186-190.
[19]	LI BING-AN . WARD IDENTITIES AND BETHE-SALPETER EQUATIONS AND THE ELECTROMAGNETIC TRANSITION ELEMENTS OF MESONS AND BARYONS. Chinese Physics C, 1979, 3(2): 141-151.
[20]	GAO CHONG-SHOU . BETHE-SALPETER EQUATION FOR STRATON AND ANTISTRATON WITH DIFFERENT MASSES AND SU(4)MASS RELATIONS FOR MESONS. Chinese Physics C, 1979, 3(2): 152-164.

Access

Get Citation

Li Bing-an, Xian Ding-chang, Yan Su, Chen Tian-lun, Yang Qing-zhu and Lu Jing-fa. THE INFLUENCE OF THE SELF-ENERGY DIAGRAMS ON THE SOLUTIONS OF A SCALAR BETHE SALPETER EQUATION[J]. Chinese Physics C, 1980, 4(1): 33-42.

RIS(for EndNote,Reference Manager,ProCite)

BibTex

Txt

Milestone

Received: 1978-11-21
Revised: 1900-01-01

Article Metric

Article Views(1571)
PDF Downloads(290)
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

THE INFLUENCE OF THE SELF-ENERGY DIAGRAMS ON THE SOLUTIONS OF A SCALAR BETHE SALPETER EQUATION

Received Date: 1978-11-21
Accepted Date: 1900-01-01
Available Online: 1980-02-05

Abstract: The influence of the self-energy diagrams on the solutions of the Bethe-Salpe-ter equation is studied by taking a gφ₁*（x）φ₁（x）φ₂（x） interaction and under the ladder approximation. The results show for ground state solution, the self-energy diagrams will diminish the eigenvalues and alter the wave funetions slight-ly. While for the excited states and anti-symmetric solutions, the influence of theself-energy diagrams is considerable. which completely alters the properties of the solutions. The results also show that the solutions from the ladder approximationare meaningful only in the loosly bounded cases, and as the binding becomes tight,the contribution from the self-energy diagrams becomes important.