Effect of<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:mi>d</mml:mi><mml:mi>t</mml:mi><mml:mi>μ</mml:mi></mml:mrow></mml:math>quasinucleus structure on energy levels of the<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:mo>(</mml:mo><mml:mi>d</mml:mi><mml:mi>t</mml:mi><mml:mi>μ</mml:mi><mml:mo>)</mml:mo><mml:mi>X</mml:mi><mml:mi>e</mml:mi><mml:mi>e</mml:mi></mml:mrow></mml:math>exotic molecule

Kartavtsev, O. I.; Malykh, A. V.; Permyakov, V.P.

doi:10.1103/physreva.70.022504

Cited by 2 publications

(1 citation statement)

References 25 publications

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“…First, the EVM is a simple implementation of epi-thermal muonic atom processes. It has been pointed out that the surrounding electron correction to the binding energy of dt (finite size effect) 93 , 94 that affects the VM is insufficient 95 , 96 . Furthermore, the finite size effect should be treated much more rigorously in dt than dt because the spatial size of dt is much larger than that of dt and is close to the electron orbital.…”

Section: Methodsmentioning

confidence: 99%

Roles of resonant muonic molecule in new kinetics model and muon catalyzed fusion in compressed gas

Yamashita

Kino

Okutsu

et al. 2022

Sci Rep

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Muon catalyzed fusion ($$\mu$$ μ CF) in which an elementary particle, muon, facilitates the nuclear fusion between the hydrogen isotopes has been investigated in a long history. In contrast to the rich theoretical and experimental information on the $$\mu$$ μ CF in cold targets, there is relatively scarce information on the high temperature gas targets of deuterium-tritium mixture with high-thermal efficiency. We demonstrate new kinetics model of $$\mu$$ μ CF including three roles of resonant muonic molecules, (i) changing isotopic population, (ii) producing epi-thermal muonic atoms, and (iii) inducing fusion in-flight. The new kinetics model reproduces experimental observations, showing higher cycle rate as the temperature increasing, over a wide range of target temperatures ($$T<800$$ T < 800 K) and tritium concentrations. Moreover, it can be tested by measurements of radiative dissociation X-rays around 2 keV. High energy-resolution X-ray detectors and intense muon beam which are recently available are suitable to reveal these dynamical mechanism of $$\mu$$ μ CF cycles. Towards the future $$\mu$$ μ CF experiments in the high-temperature gas target we have clarified the relationship between the fusion yield and density-temperature curve of adiabatic/shock-wave compression.

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Section: Methodsmentioning

confidence: 99%

Roles of resonant muonic molecule in new kinetics model and muon catalyzed fusion in compressed gas

Yamashita

Kino

Okutsu

et al. 2022

Sci Rep

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On the validity range of the Born-Oppenheimer approximation: A semiclassical study for all-particle quantization of three-body Coulomb systems

Takahashi

Takatsuka

2006

The Journal of Chemical Physics

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The validity range of the Born-Oppenheimer (BO) approximation is studied with respect to the variation of the mass (m) of negatively charged particle by substituting an electron (e) with muon (mu) and antiproton (p) in hydrogen molecule cation. With the use of semiclassical quantization applied to these (ppe), (ppmu), and (ppp) under a constrained geometry, we estimate the energy difference of the non-BO vibronic ground state from the BO counterpart. It is found that the error in the BO approximation scales to the power of 3/2 to the mass of negative particles, that is, m(1.5). The origin of this clear-cut relation is analyzed based on the original perturbation theory due to Born and Oppenheimer, with which we show that the fifth order term proportional to m(5/4) is zero and thereby the first correction to the BO approximation should arise from the sixth order term that is proportional to m(6/4). Therefore, the validity range of the Born-Oppenheimer approximation is wider than that often mistakenly claimed to be proportional to m(1/4).

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Effect ofdtμquasinucleus structure on energy levels of the(dtμ)Xeeexotic molecule

Cited by 2 publications

References 25 publications

Roles of resonant muonic molecule in new kinetics model and muon catalyzed fusion in compressed gas

Roles of resonant muonic molecule in new kinetics model and muon catalyzed fusion in compressed gas

On the validity range of the Born-Oppenheimer approximation: A semiclassical study for all-particle quantization of three-body Coulomb systems

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