具有$J^P=5/2^{+}$和$J^P=7/2^{+}$的rho-rho-N和rho-rho-Delta分子
rho-rho-N and rho-rho-Delta molecules with $J^P=5/2^{+}$ and $J^P=7/2^{+}$
摘要：
本文在Faddeev方程的定心近似下研究了rho-rho-N和rho-rho-Delta三体系统。同位旋I=0，自旋S=2时的ρ-ρ相互作用是强吸引的，N-ρ，δ-ρ相互作用也是强吸引的。这导致了rho-rho-N和rho-rho-Delta的束缚态。我们发现峰值的散射矩阵的模平方约为2227 MeV的ρ-ρ-N，和2372 MeV的ρ-ρ-Delta。然而，rho-rho-N振幅的峰值强度远小于rho-rho-Delta，削弱了rho-rho-N束缚态或占主导地位的rho-rho-N分量的情况。讨论了如何在现有的程序中搜索这些状态，以寻找不同反应中的多子末态。
英文摘要：
The rho-rho-N and rho-rho-Delta three-body systems have been studied within the framework of the fixed center approximation of Faddeev equation. The rho-rho interaction in isospin I=0, spin S=2 is strongly attractive, and so are the N-rho, Delta-rho interactions. This leads to bound states of both rho-rho-N and rho-rho-Delta. We find peaks of the modulus squared of the scattering matrix around 2227 MeV for rho-rho-N, and 2372 MeV for rho-rho-Delta. Yet, the strength of the peak for the rho-rho-N amplitude is much smaller than for rho-rho-Delta, weakening the case for a rho-rho-N bound state, or a dominant rho-rho-N component. A discussion is made on how these states can be searched for in present programs looking for multimeson final states in different reactions.
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