Further Analysis of ππ Scattering Dispersion Relations
XIAO Zhi-Guang, ZHENG Han-Qing
Department of Physics, Peking University, Beijing 100871
Further Analysis of ππ Scattering Dispersion Relations
XIAO Zhi-Guang;ZHENG Han-Qing
Department of Physics, Peking University, Beijing 100871
关键词 ：
11.55.Bq ,
14.40.Cs ,
12.39.Fe
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, Mσ = 483±13 MeV, Γσ = 705±50 MeV. The scattering length parameter is found to be in excellent agreement with the experimental result.
Key words ：
11.55.Bq
14.40.Cs
12.39.Fe
出版日期: 2003-03-01
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2003, Vol. 20 
