RUI: Three Body Resonances in Muonic Molecular Ions (Physics)

以氦为原子核的介子分子离子不会形成束束态。然而，它们的共振态在Muon催化的聚变中起着一定的作用。它们被认为是介子的食腐动物。在很高的密度下，当(Dt)或(Dd)聚变后的动能减慢时，这些共振可能会增强从介子He中剥离介子的作用。由于人们对这些共振知之甚少，定量研究进展缓慢。为精确确定(DT)束缚态性质而发展的变分方法非常适合于研究这些共振。对于(Dt)+低于(D)和(T)的n=2阈值的若干共振态，已经计算出了极佳的共振能量和宽度。初步计算表明，在(.d)++和(3Hed)++中存在类似的共振。这项拟议的研究将提供所有这些共振的准确位置、宽度和其他特性。

The muonic molecular ions having He as a nucleus do not form bound states. However, their resonant states play a role in muon catalyzed fusion. They are considered scavengers of muons. At very high densities these resonances may enhance the stripping of muons from muonic He when its kinetic energy has been slowed down after (dt ) or (dd ) fusion. Quantitative investigation has been slowed down because very little is known about these resonances. A variational method, developed for the accurate determination of the (dt ) bound state properties, is well suited for studying these resonances. Excellent resonance energies and widths have already been computed for a number of resonant states of (dt )+ below the n=2 threshold of (d ) and (t ). Preliminary calculations indicate the existence of similar resonances in (.d )++ and (3Hed )++. The proposed research will provide accurate positions, widths and other properties of all these resonances.