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

以He为原子核的介子分子离子不形成束缚态。然而，它们的共振态在介子催化聚变中起作用。它们被认为是介子的清道夫。在非常高的密度下，当（dt）或（dd）聚变后介子He的动能减慢时，这些共振可能会增强介子从介子He中剥离出来。由于对这些共振所知甚少，定量调查一直在放缓。为精确测定（dt）束缚态性质而开发的变分方法非常适合研究这些共振。在(d)和(t)的n=2阈值以下，(dt)+的许多共振态已经计算出了极好的共振能量和宽度。初步计算表明（）中存在类似的共振。d)++和(3Hed)++。提出的研究将提供所有这些共振的准确位置，宽度和其他属性。

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.