The possibility to resolve narrow structures in reaction cross sections in calculations with the Lorentz integral transform (LIT) method is studied. To this end we consider a fictitious two-nucleon problem with a low-lying and narrow resonance in the $^3P_1$ nucleon-nucleon partial wave and calculate the corresponding ``deuteron photoabsorption cross section''. In the LIT method the use of continuum wave functions is avoided and one works instead with a localized function \tildeΨ. In this case study it is investigated how far into the asymptotic region \tildeΨhas to be determined in order to obtain a precise resolution of the artificially introduced E1 resonance. Comparing with the results of a conventional calculation with explicit neutron-proton continuum wave functions it is shown that the LIT approach leads to an excellent reproduction of the cross section in the resonance region and of further finer cross section details at higher energies. To this end, however, for \tildeΨone has to take into account two-nucleon distances up to at least 30 fm.
Photoproduction of eta-mesons on the deuteron above S11(1535) in the presence of a narrow P11(1670) resonance
本文研究了氘核上η介子的非相干光生。主要的注意力是支付给上述的区域的S11(1535)共振,而狭窄的共振结构中提取的总截面的γ n -> η n已被报道。从唯象的观点分析了相应的实验结果,模型中包含一个质量约为1670 MeV,宽度小于30 MeV的重子P11。在最近的一些工作中,这种共振被认为是J^P=1/2^+的五夸克反十重态的非奇异成员。计算了$η$介子的极化和非极化角分布。此外,我们给出了我们对中性K介子和双π光生的截面的预测,其中假设相同的窄P11(1670)共振通过衰变到K^0 λ和π δ组态。
Possibility of narrow resonances in nucleon-nucleon channels
复合态表现为束缚态、共振态或基元态,它们的性质由它们与连续统的相互作用决定。如果相互作用经历扰动,复合态可以改变其表现形式。核子-核子散射的相位分析表明在3S 1,1 S 0和3 P0通道中存在基元。电磁相互作用可以将基元从单一切割中转移,将它们转变为窄共振。我们评估这种影响的1 S 0质子-质子散射通道的Simonov-Dyson模型的框架内。我们表明,电磁相互作用把一个质量为2000 MeV的素子变成一个大约相同的质量和宽度为260 keV的重子共振。类似性质的窄共振可能发生在其他核子-核子通道中。窄共振存在的实验证实将对核子-核子相互作用理论具有重要意义。
We discuss some general features of the effective range expansion, the content of its parameters with respect to the nature of the pertinent near-threshold states and the necessary modifications in the presence of coupled channels, isospin violations and unstable constituents. As illustrative examples, we analyse the properties of the $χ_{c1}(3872)$ and $T_{cc}^+$ states supporting the claim that these exotic states have a predominantly molecular nature.