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The rate of $dd\mu$ muonic molecule resonant formation in $d\mu$ atom collision with a condensed deuterium target is expressed in terms of a single-particle response function. In particular, $dd\mu$ formation in solid deuterium at low…

Atomic Physics · Physics 2018-03-09 A. Adamczak , M. P. Faifman

The non-resonant formation of $dd\mu$ molecules in the loosely bound state in collisions of non-thermalized $d\mu$ atoms with deuterium molecules D$_2$ has been considered. The process of such a type is possible only for collision energies…

Atomic Physics · Physics 2018-03-09 Andrzej Adamczak , Mark P. Faifman

Resonant formation of $d\mu t$ molecules in collisions of muonic tritium ($\mu t$) on D$_2$ was investigated using a beam of $\mu t$ atoms, demonstrating a new direct approach in muon catalyzed fusion studies. Strong epithermal resonances…

We present a state-of-the-art theoretical approach for computing bound-state energies in muonic atoms, incorporating improved quantum electrodynamics effects and nuclear polarization corrections with a systematic assessment of theoretical…

Atomic Physics · Physics 2026-03-24 S. Rathi , I. A. Valuev , Z. Sun , M. Heines , P. Indelicato , B. Ohayon , N. S. Oreshkina

The spectrum of electrons from muons decaying in an atomic bound state is significantly modified by their interaction with the nucleus. Somewhat unexpectedly, its first measurement, at the Canadian laboratory TRIUMF, differed from basic…

High Energy Physics - Phenomenology · Physics 2015-06-22 Andrzej Czarnecki , Matthew Dowling , Xavier Garcia i Tormo , William J. Marciano , Robert Szafron

Using the general form of the generalized Bethe-Salpeter wave functions for four-quark states describing the meson-meson molecular structure given in our previous work, we obtain the general formulas for the decay widths of molecular states…

High Energy Physics - Phenomenology · Physics 2020-01-22 Xiaozhao Chen , Xiaofu Lü , Renbin Shi , Xiurong Guo , Qingbiao Wang

Experimental searches for lepton-flavor-violating coherent muon-to-electron conversion in the field of a nucleus, have been proposed to reach the unprecedented sensitivity of 10^(-16) - 10^(-18) per stopped muon. At that level, they probe…

High Energy Physics - Phenomenology · Physics 2011-08-08 Andrzej Czarnecki , Xavier Garcia i Tormo , William J. Marciano

Resonant scattering of muonic hydrogen atoms via back decay of molecular complex, a key process in the understanding of epithermal muonic molecular formation, is analyzed. The limitations of the effective rate approximation are discussed…

The ground bound states in the five-body muonic ions $a b \mu e_2$ (or $(a b \mu e_2)^{-}$), where $(a, b) = (p, d, t)$, are considered for the first time. As follows from accurate numerical computations of these five-body ions they are…

Atomic Physics · Physics 2017-01-30 Alexei M. Frolov

Muon-catalyzed nuclear fusion (\mucf) replaces atomic electrons with negative muons, compressing atomic orbitals by about two orders of magnitude and enabling deuterium--tritium (D--T) fusion under near-room-temperature conditions. This…

High Energy Physics - Phenomenology · Physics 2026-05-27 Xiong Yin , Wei Kou , Xurong Chen

We consider the hyperfine structure, the atomic spectrum and the decay channels of the bound mu+ mu- system (dimuonium). The annihilation lifetimes of low-lying atomic states of the system lie in the nanosecond range range. The decay rates…

Atomic Physics · Physics 2009-10-30 U. Jentschura , G. Soff , V. Ivanov , S. Karshenboim

When a particle decays in an external field, the energy spectrum of the products is smeared. We derive an analytical expression for the shape function accounting for the motion of the decaying particle and the final state interactions. We…

High Energy Physics - Phenomenology · Physics 2015-10-28 Robert Szafron , Andrzej Czarnecki

Muon catalyzed fusion ($\mu$CF) has recently regained considerable research interest owing to several new developments and applications. In this regard, we have performed a comprehensive study of the most important fusion reaction, namely…

Nuclear Theory · Physics 2023-04-05 M. Kamimura , Y. Kino , T. Yamashita

Decay of bound states due to coupling with free particle states is a general phenomenon occurring at energy scales from MeV in nuclear physics to peV in ultracold atomic gases. Such a coupling gives rise to Fano-Feshbach resonances (FFR)…

To describe low-energy (anti)neutrino fluxes in modern coherent elastic neutrino-nucleus scattering experiments as well as high-energy fluxes in precision-frontier projects such as the Enhanced NeUtrino BEams from kaon Tagging (ENUBET) and…

High Energy Physics - Phenomenology · Physics 2022-04-27 Oleksandr Tomalak

We compute the bound and resonant states of hydrogen-like muonic ions ($\mu\mu p$, $\mu\mu d$, $\mu\mu t$) and three-body muonic molecular ions ($pp\mu$, $pd\mu$, $pt\mu$, $dd\mu$, $dt\mu$, $tt\mu$), and the four-body double-muonic hydrogen…

Atomic Physics · Physics 2026-04-01 Liang-Zhen Wen , Shi-Lin Zhu

Muons are a fascinating probe to study nuclear properties. Muonic atoms can easily be formed by stopping negative muons inside a material. The muon is subsequently captured by the nucleus and, due to its much higher mass compared to the…

Nuclear Experiment · Physics 2020-06-04 A. Knecht , A. Skawran , S. M. Vogiatzi

The reaction rate of the nuclear fusion d+Li6 ----> Be8*(2+,0) is estimated in the case where the nuclei are confined to each other by a muon. For the description of nuclear transitions, a method which is analogous to the Linear Combination…

Nuclear Theory · Physics 2009-10-28 S. A. Rakityansky , S. A. Sofianos , V. B. Belyaev , V. I. Korobov

We have carried out bound-state and low-energy quantum scattering calculations on He + NH (triplet Sigma) in magnetic fields, with the NH molecule in its n=1 rotationally excited states. We have explored the pattern of levels as a function…

Chemical Physics · Physics 2007-07-31 R. Adam Rowlands , Maykel Leonardo Gonzalez-Martinez , Jeremy M. Hutson

Leading order ($\alpha^4$) finite size corrections in muonic deuterium are evaluated within a few body formalism for the $\mu^- p n$ system in muonic deuterium and found to be sensitive to the input of the deuteron wave function. We show…

Nuclear Theory · Physics 2017-08-04 N. G. Kelkar , D. Bedoya Fierro
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