对f0（1370）的深入研究
A Study in Depth of f0(1370)
摘要：
有人声称f0（1370）不存在。需要它存在的五个主要数据集被重新装配。首次纳入了由于4 pi阈值打开而产生的主要色散效应; sigma -> 4 pi振幅发挥着重要作用。在1 S 0和3 P1湮灭中，静止时pbar-p -> 3 pizero的晶体桶数据需要f0（1370）信号分别至少为32和33个标准偏差。此外，他们同意在5 MeV的质量和宽度。关于pbar-p -> eta-eta-pizero的数据一致，并且需要至少19个标准差的贡献。仅这一点就足以证明f0（1370）的存在。北京谱仪Ⅱ的J/Psi -> phi-pi-pi数据包含一个大于8个标准偏差的可见f0（1370）信号。在所有情况下，都需要谐振相位变化。排除了由于4pi通道的打开而导致的sigma振幅中的第二极点的可能性。Cern-Munich的π-π弹性散射数据与σ、f0（1370）和f0（1500）之间的一些混合很好地拟合。确定了f2（1565）、rho 3（1690）、rho 3（1990）和f4（2040）的pi-pi宽度。
英文摘要：
Claims have been made that f0(1370) does not exist. The five primary sets of data requiring its existence are refitted. Major dispersive effects due to the opening of the 4pi threshold are included for the first time; the sigma -> 4pi amplitude plays a strong role. Crystal Barrel data on pbar-p -> 3pizero at rest require f0(1370) signals of at least 32 and 33 standard deviations in 1S0 and 3P1 annihilation respectively. Furthermore, they agree within 5 MeV for mass and width. Data on pbar-p -> eta-eta-pizero agree and require at least a 19 standard deviation contribution. This alone is sufficient to demonstrate the existence of f0(1370). BES II data for J/Psi -> phi-pi-pi contain a visible f0(1370) signal > 8 standard devations. In all cases, a resonant phase variation is required. The possibility of a second pole in the sigma amplitude due to the opening of the 4pi channel is excluded. Cern-Munich data for pi-pi elastic scattering are fitted well with the inclusion of some mixing between sigma, f0(1370) and f0(1500). The pi-pi widths for f2(1565), rho3(1690), rho3(1990) and f4(2040) are determined.
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