Partial Wave Analysis Of E~+e~-(@3.773GeV)?K~+K~-?~0 At BES-?

In the naive quark model hadrons consist of two or three quarks. However,elementary of the strong interaction—the quantum chromodynamics?QCD?, al-lows the existence of new forms of hadrons such as glueballs, hybrids and multi-quark states. Searching for new forms of hadrons is of great importance to test the QCD theory.Based on 2.9 fb^-1 data taken at S^1/2 = 3.773 GeV collected with the BES-?detector in 2010 and 2011,a broad resonance structure is observed in the in-variant mass spectrum of K⁺K^- near 1.6 GeV in the e⁺e^-?K⁺K^-?⁰ process.The partial wave analysis?PWA? of e⁺e^-?K⁺K^-?⁰ is performed using the co-variant tensor amplitude method. PWA shows that two alternatives describe the broad structure well. One needs two 1 -- resonances,which we denote as X? 1630?and X?1850?. The other one needs also two 1 -- resonances, which we denote as X?1400? and X?1660?. The mass and width of X?1630? are determined to be 1631 ± 26?stat.?_-72⁺²¹?syst.? MeV/c² and 466_-29⁺²⁸?stat.?_-33⁺²⁴?syst.? MeV/c²; the mass and width of X?1850? are 1847±9?stat.?_-12⁺⁵ MeV/c² and 183±20?stat.?_-35⁺⁶⁰?syst.?MeV/c²; the mass and width of X?1400? are 1396_-39⁺³⁶?stat.?_-18⁺³¹?syst.?MeV/c² and 408_-56⁺⁶⁴?stat.?_-68⁺⁴⁷?syst.? MeV/c²; the mass and width of X?1660? are 1662_-25⁺²⁴?stat.?_-43⁺¹¹?syst.?MeV/c² and 285_-50⁺⁵⁴?stat.?_-100⁺⁴⁵?syst·?MeV/c². The corresponding product cross sections are: ?^B?e⁺e^-?X?1630??⁰?+K⁺K^-?⁰? = 5.51±0.17?stat.?_-2.7^+1.59?syst.?pb; ?^B?e⁺e^-?X?1850??⁰?K⁺K^-?⁰? = 2.91 ± 0.08?stat.?_-2.6^+1.71?syst.?pb;?^B?e⁺e^-?X?1400??⁰?K⁺K^-?⁰?= 3.87±0.20?stat.?_-1.03^+1.29?syst.?pb; ?^B?e⁺e^-?X?1660??⁰?K⁺K^-?⁰?=2.39±0.18?stat.?_-1.013^+0.99?syst.?pb.By comparison, we know that: the mass and width of X?1630? are consistent with those of ??1650? and ??1700? within 1.6? and 1.1?, respectively; the mass and width of X?1850? are consistent with those of ??1900? within 0.4?; the mass and width of X?1400? are consistent with those of ??1420? and p?1450? within 1.1? and 0.5? respectively; the mass and width of X?1660? are consistent with those of ??1650? and ??1700? within 0.1? and 0.4? respectively.Using the Monte-Carlo method, we study the models describing the "fast drop" phenomenon near the p??? mass threshold on the invariant mass spectrum of ?'?⁺?^-in J/????'?⁺?^-process. The study shows: if the really physics is the Flatt??? model, even with ten times of 2012 J/? data sample, it is difficult to distinguish these two models; if the really physics is the interference model, with ten times of 2012 J/? data sample, it can not be fitted with the Flatt??? model.