论文标题
$ p \ bar {p} $ threshold of $ j/ψ$辐射衰减的结构
Structure around $p\bar{p}$ threshold in $J/ψ$ radiative decays
论文作者
论文摘要
在本文中，我们研究了$ p \ bar {p} $阈值的结构，该结构出现在$η''π^+π^ - $，$ 3（π^+π^ - ）$和$ k_s^0k_s^0η$不变质谱中，在相关$ j/ψ$辐射的过程中。考虑$ n \ bar {n} $ recresctering已考虑，并且使用扭曲的波生近似来通过两个步骤进行衰减幅度：$ j/ψ\toγn\toγn\ bar {n} \toγη''''''''可以$ n \ bar {n} $散射幅度是通过用手性有效场理论给出的电势求解lippmann-Schinginger方程来获得的。为了修复未知的耦合，我们将这些振幅拟合到$ J/ψ$辐射衰减的不变质谱以及部分波浪分析给出的相移和非弹性的数据集。我们改变了截止值（$ r $ = 0.9、1.0和1.1 FM），并发现解决方案是稳定的。 $ p \ bar {p} $阈值的结构在$ j/ψ\toγη'oudtoγη'''oun'd+π^ - $，$ j/ψ\ to \ gamma3（π^+π^ - ）$和$ j/ψ\toγk_s^0k_s^0k_s^0η$ nouth $ n n $ n n $ n的过程中，
In this paper, we study the structure around the $p\bar{p}$ threshold that appears in $η'π^+π^-$, $3(π^+π^-)$ and $K_S^0K_S^0η$ invariant mass spectra in the processes of relevant $J/ψ$ radiative decays. The $N\bar{N}$ rescattering is taken into account, and the distorted-wave Born approximation is applied to get the decaying amplitude through a two-step process: $J/ψ\toγN\bar{N}\toγη'π^+π^-$, $γ3(π^+π^-)$ and $γK_S^0K_S^0η$. The $N\bar{N}$ scattering amplitudes are obtained by solving the Lippmann-Schwinger equation with the potentials given by chiral effective field theory. To fix the unknown couplings, we fit the amplitudes to the datasets of the latest measurements on the invariant mass spectra of $J/ψ$ radiative decays, as well as the phase shifts and inelasticities given by partial wave analysis. We vary the cutoffs ($R$=0.9, 1.0, and 1.1 fm) and find that the solutions are stable. The structures around $p\bar{p}$ threshold found in the processes of $J/ψ\toγη'π^+π^-$, $J/ψ\to\gamma3(π^+π^-)$ and $J/ψ\toγK_S^0K_S^0η$ can be attributed to threshold behavior of $N\bar{N}$ intermediate states.
