Further Analysis of ππ Scattering Dispersion Relations

Chin. Phys. Lett.

2003, Vol. 20

Issue (3): 342-345 DOI:

Original Articles

Further Analysis of ππ Scattering Dispersion Relations

XIAO Zhi-Guang;ZHENG Han-Qing

Department of Physics, Peking University, Beijing 100871

Cite this article:

XIAO Zhi-Guang, ZHENG Han-Qing 2003 Chin. Phys. Lett. 20 342-345

Download: PDF(218KB)
Export: BibTeX | EndNote | Reference Manager | ProCite | RefWorks

Abstract The naive use of higher order perturbation theory leads to the left-hand cut integrals in ππ dispersion relations [Phys. Lett. B 536 (2002) 59; B 549 (2002) 362; Nucl. Phys. A 695 (2001) 273] to be divergent. This problem is discussed and solved. We point out that the Adler zero condition imposes three constraints on the dispersion relations. The σ pole position is determined using the improved method, M_σ = 483±13 MeV, Γ_σ = 705±50 MeV. The scattering length parameter is found to be in excellent agreement with the experimental result.

Keywords: 11.55.Bq 14.40.Cs 12.39.Fe

Published: 01 March 2003

PACS:	11.55.Bq	(Analytic properties of S matrix)
	14.40.Cs
	12.39.Fe	(Chiral Lagrangians)

TRENDMD:

URL:

https://cpl.iphy.ac.cn/ OR https://cpl.iphy.ac.cn/Y2003/V20/I3/0342

Service
	E-mail this article
	E-mail Alert
	RSS
Articles by authors
	XIAO Zhi-Guang
	ZHENG Han-Qing

Related articles from Frontiers Journals

[1]	XU Pu, HUANG Hong-Xia, PING Jia-Lun, WANG Fan . Nucleon-Nucleon Interaction in Constituent Quark Models**[J]. Chin. Phys. Lett., 2011, 28(3): 342-345
[2]	DAI Lian-Rong. Ideal Mixing of Scalar Mesons and Hyperon-Nucleon Interaction[J]. Chin. Phys. Lett., 2010, 27(6): 342-345
[3]	DAI Lian-Rong. Nucleon-Nucleon Interaction and the Mixing of Scalar Meson[J]. Chin. Phys. Lett., 2010, 27(1): 342-345
[4]	WANG Shun-Zhi, WANG Qing,. Electroweak Chiral Lagrangian for Neutral Higgs Boson[J]. Chin. Phys. Lett., 2008, 25(6): 342-345
[5]	HUANG Hong-Xia, CHEN Ling-Zhi, PANG Hou-Rong, PING Jia-Lun, WANG Fan. Influence of Spin--Orbit Force on Nucleon--Nucleon Scattering in the Quark Delocalization Colour Screening Model[J]. Chin. Phys. Lett., 2008, 25(5): 342-345
[6]	LEE Xi-Guo, LI Yong-Qing, LIU Zi-Yu,. △-Resonance Effective Mass in Medium[J]. Chin. Phys. Lett., 2007, 24(9): 342-345
[7]	LIANG Yin-Hua, GUO Hua, LIU Yu-Xin,. Multi-Λ Hypernuclei in an Effective Hadronic Model[J]. Chin. Phys. Lett., 2007, 24(8): 342-345
[8]	XIA Zheng-Tong, WANG Shun-Jin. Chiral Lagrangian Treatment of 0⁺⁺ Mesons and 0⁺⁺Glueballs[J]. Chin. Phys. Lett., 2007, 24(3): 342-345
[9]	YANG Ji-Feng, HUANG Jian-Hua, LIU Dan. Padé Expansion and the Renormalization of Nucleon--Nucleon Scattering[J]. Chin. Phys. Lett., 2006, 23(10): 342-345
[10]	MAO Hong, LI Yun-De, HUANG Tao. Domain Wall in the Linear Sigma Model[J]. Chin. Phys. Lett., 2004, 21(11): 342-345
[11]	ZHANG Xiao-Bing, NING Ping-Zhi. Chiral Effective Lagrangian Description of Nuclear Matter with In-Medium Pion Effect[J]. Chin. Phys. Lett., 2003, 20(2): 342-345
[12]	SHEN Qi-Xing, YU Hong, LI De-Min. Possibility to Search for Isoscalar 1^-⁺ Exotic State in the Process J/ψ → ωVV[J]. Chin. Phys. Lett., 2001, 18(3): 342-345
[13]	CHEN Jie, , LI Xue-Qian, , LU Yong, , ZOU Bing-Song,. Formulation of Moment Analysis on f_J(1710) for Incomplete Phase Space in J/ψ → γK⁺K^-[J]. Chin. Phys. Lett., 2001, 18(3): 342-345
[14]	LI De-Min, YU Hong, SHEN Qi-Xing. Is f₁(1420) the Partner of f₁(1285) in the ³P₁ qq Nonet?[J]. Chin. Phys. Lett., 2000, 17(8): 342-345
[15]	YU Hong, SHEN Qi-xing. Moment Analysis of Process J/ψ → ρηπ and 1^-+ Exotic Hybrid[J]. Chin. Phys. Lett., 1999, 16(7): 342-345

Viewed

Full text

Abstract