Differential cross sections for muonic atom scattering in solid hydrogenic targets

Going from Classical to Quantum Description of Bound Charged Particles Part 2: Implications for the light hydrogenic atoms

This paper continues the analysis of bound quantum systems started in (T. Yarman, A.L. Kholmetskii and O.V. Missevitch. Going from classical to quantum description of bound charged particles. Part 1: basic concepts and assertions), based on a novel approach, involving the requirement of energy-momentum conservation for the bound electromagnetic (EM) field, when the EM radiation is forbidden. It has been shown that the modified expression for the energy levels of hydrogenic atoms within such a pure bound field theory (PBFT) provides the same gross and fine structure of energy levels, like in th…

Time-of-Flight Spectroscopy of Muonic Hydrogen Atoms and Molecules

Studies of muonic hydrogen atoms and molecules have been performed traditionally in bulk targets of gas, liquid or solid. At TRIUMF, Canada's meson facility, we have developed a new type of target system using multilayer thin films of solid hydrogen, which provides a beam of muonic hydrogen atoms in vacuum. Using the time-of-flight of the muonic atoms, the energy-dependent information of muonic reactions are obtained in direct manner. We discuss some unique measurements enabled by the new technique, with emphasis on processes relevant to muon catalyzed fusion.

Theory of Light Hydrogenlike Atoms

The present status and recent developments in the theory of light hydrogenic atoms, electronic and muonic, are extensively reviewed. The discussion is based on the quantum field theoretical approach to loosely bound composite systems. The basics of the quantum field theoretical approach, which provide the framework needed for a systematic derivation of all higher order corrections to the energy levels, are briefly discussed. The main physical ideas behind the derivation of all binding, recoil, radiative, radiative-recoil, and nonelectromagnetic spin-dependent and spin-independent corrections t…

Resonant $ddμ$ Formation in Condensed Deuterium

The rate of $ddμ$ muonic molecule resonant formation in $dμ$ atom collision with a condensed deuterium target is expressed in terms of a single-particle response function. In particular, $ddμ$ formation in solid deuterium at low pressures is considered. Numerical calculations of the rate in the case of fcc polycrystalline deuterium at 3 K have been performed using the isotropic Debye model of solid. It is shown that the energy-dependent $ddμ$ formation rates in the solid differ strongly from those obtained for D$_2$ gaseous targets, even at high $dμ$ kinetic energies. Monte Carlo neutron spect…

Using Thin Film Targets for Muonic Atoms and Muon Catalyzed Fusion Studies

Studies of muonic atoms and muon catalyzed fusion have been conventionally done in a bulk target of gas, liquid or solid hydrogen isotopes. The use of thin film targets developed at TRIUMF have notable advantages in tackling some of the most important questions in the field, which could be further exploited at future high intensity muon sources. We review the technique of the thin film method with emphasis on recent results and a future proposal.

Importance of fluctuations of cross sections in muon-catalysed t-t fusion reactions

We discuss the reaction rate of the muon-catalysed $t$-$t$ fusion. The reaction rate is determined as a function of the temperature using the model of "in flight" fusion. We especially take into account the effect of the fluctuation of the cross section due to the existence of the muon. The obtained reaction rate 5.0$\times10^{-3} μ$s$^{-1}$ is a factor of 10$^{-3}$ smaller than the experimental muonic cycling rate in the solid tritium target.

从缪子原子兰姆位移测量过渡元素参考四极矩

Reference Quadrupole Moments of Transition Elements from Lamb Shifts in Muonic Atoms

提出利用低温微量热计测量缪子原子2s-2p跃迁的兰姆位移，以高精度确定轻过渡元素（Z=23-30）的绝对电四极矩，可将不确定度降低一个数量级。

Resonant dt-mu formation in condensed hydrogens

Resonant formation of the muonic molecule dt-mu in t-mu atom collision with condensed H/D/T targets is considered. A specific resonance correlation function, which is a generalization of the Van Hove single-particle correlation function, is introduced to calculate the resonant-formation rate in such targets. This function is derived in the case of a polycrystalline harmonic solid. Also is found a general asymptotic form of the resonance correlation function for high momentum transfers, valid for any solid or dense-fluid hydrogen-isotope target. Numerical calculations of the rates are performed…