a(0)(980) - f(0)(980) mixing in chi(c1) -&gt; pi(0)f(0)(980) -&gt; pi(0)pi(+)pi(-) and chi(c1) -&gt; pi(0) a(0)(980) -&gt; pi(0)pi(0)eta

doi:10.1016/j.physletb.2017.10.061

	a(0)(980) - f(0)(980) mixing in chi(c1) -> pi(0)f(0)(980) -> pi(0)pi(+)pi(-) and chi(c1) -> pi(0) a(0)(980) -> pi(0)pi(0)eta
	Bayar, M.1,2,3; Debastiani, V. R.2,3,4
刊名	PHYSICS LETTERS B
	2017-12-10
卷号	775 页码:94-99
关键词	Isospin-breaking a(0)(980) - f(0)(980) mixing Charmonium decays Scalar meson states
ISSN号	0370-2693
DOI	10.1016/j.physletb.2017.10.061
英文摘要	We study the isospin breaking in the reactions chi(c1) -> pi(0)pi(+)pi(-) and chi(c1) -> pi(0)pi(0)eta and its relation to the a(0)(980) - f(0)(980) mixing, which was measured by the BESIII Collaboration. We show that the same theoretical model previously developed to study the chi(c1) -> eta pi(+)pi(-) reaction (also measured by BESIII), and further explored in the predictions to the eta(c) -> eta pi(+)pi(-), can be successfully employed in the present study. We assume that the chi(c1) behaves as an SU(3) singlet to find the weight in which trios of pseudoscalars are created, followed by the final state interaction of pairs of mesons to describe how the a(0)(980) and f(0)(980) are dynamically generated, using the chiral unitary approach in coupled channels. The isospin violation is introduced through the use of different masses for the charged and neutral kaons, either in the propagators of pairs of mesons created in the chi(c1) decay, or in the propagators inside the T matrix, constructed through the unitarization of the scattering and transition amplitudes of pairs of pseudoscalar mesons. We find that violating isospin inside the T matrix makes the pi(0)eta -> pi(+)pi(-) amplitude nonzero, which gives an important contribution and also enhances the effect of the K (K) over bar term. We also find that the most important effect in the total amplitude is the isospin breaking inside the T matrix, due to the constructive sum of pi(0)eta -> pi(+)pi(-) and K (K) over bar -> pi(+)pi(-), which is essential to get a good agreement with the experimental measurement of the mixing. (C) 2017 The Author(s). Published by Elsevier B.V.
资助项目	Programa Santiago Grisolia of Generalitat Valenciana[GRISO-LIA/2015/005]
WOS关键词	SCALAR MESONS ; SEARCH ; DECAYS ; MODEL
WOS研究方向	Astronomy & Astrophysics ; Physics
语种	英语
出版者	ELSEVIER SCIENCE BV
WOS记录号	WOS:000417190700014
资助机构	Programa Santiago Grisolia of Generalitat Valenciana
内容类型	期刊论文
源URL	[http://119.78.100.186/handle/113462/46107]
专题	中国科学院近代物理研究所
通讯作者	Debastiani, V. R.
作者单位	1.Kocaeli Univ, Dept Phys, TR-41380 Izmir, Turkey 2.Univ Valencia, CSIC, Inst Invest Paterna, Dept Fis Teor,Ctr Mixto, Aptdo 22085, Valencia 46071, Spain 3.Univ Valencia, CSIC, Inst Invest Paterna, IFIC,Ctr Mixto, Aptdo 22085, Valencia 46071, Spain 4.Chinese Acad Sci, Inst Modern Phys, Lanzhou 730000, Gansu, Peoples R China
推荐引用方式 GB/T 7714	Bayar, M.,Debastiani, V. R.. a(0)(980) - f(0)(980) mixing in chi(c1) -> pi(0)f(0)(980) -> pi(0)pi(+)pi(-) and chi(c1) -> pi(0) a(0)(980) -> pi(0)pi(0)eta[J]. PHYSICS LETTERS B,2017,775:94-99.
APA	Bayar, M.,&Debastiani, V. R..(2017).a(0)(980) - f(0)(980) mixing in chi(c1) -> pi(0)f(0)(980) -> pi(0)pi(+)pi(-) and chi(c1) -> pi(0) a(0)(980) -> pi(0)pi(0)eta.PHYSICS LETTERS B,775,94-99.
MLA	Bayar, M.,et al."a(0)(980) - f(0)(980) mixing in chi(c1) -> pi(0)f(0)(980) -> pi(0)pi(+)pi(-) and chi(c1) -> pi(0) a(0)(980) -> pi(0)pi(0)eta".PHYSICS LETTERS B 775(2017):94-99.