Formation of the weakly bound muonic molecule<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" overflow="scroll"><mml:msubsup><mml:mrow><mml:mo stretchy="false">(</mml:mo><mml:mmultiscripts><mml:mrow><mml:mi mathvariant="normal">He</mml:mi></mml:mrow><mml:mprescripts /><mml:none /><mml:mrow><mml:mn>4</mml:mn></mml:mrow></mml:mmultiscripts><mml:mi>μ</mml:mi><mml:mi>t</mml:mi><mml:mo stretchy="false">)</mml:mo></mml:mrow><mml:mrow><mml:mn>01</mml:mn></mml:mrow><mml:mrow><mml:mn>2</mml

Resonant formation of the muonic molecular ion (αμt)_{01}^{2+} in the collision of the muonic tritium atom with the helium hydride ion, (tμ)_{1s} + ^{4}HeH^{+} →[(αμt)_{01}^{2+},p,ee]^{+}, is proposed. The (αμt)_{01}^{2+} ion is formed in the rotational-vibrational state (0,1) as one of the two nuclei of the final complex. Back-decay process [(αμt)_{01}^{2+} ,p,ee]^{+}_{K,n}→(tμ)_{1s} + ^4HeH^{+}_{K'n'}, where K and n (K' and n') is the rotational and vibrational quantum number, respectively, is considered in detail and the corresponding decay widths for all possible rotational-vibrational (K,n)→(K',n') transitions are calculated. Numerous inelastic decay channels of (αμt)_{01}^{2+} are also presented and discussed. The possible fast resonant formation of the (αμt)_{01}^{2+} ion may provide an interesting tool for experimental studies of t(α,γ)^{7}Li nuclear fusion, which is one of the most important reactions in Big-Bang nucleosynthesis models. Studying this reaction may prove important for solving the lithium problem.

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Formation of the weakly bound muonic molecule(He4μt)012

Cited by 2 publications

References 53 publications

Full calculation of μpd and μdt muonic bound levels: Combination of Nikiforov–Uvarov method and variational approach

Full calculation of μpd and μdt muonic bound levels: Combination of Nikiforov–Uvarov method and variational approach

Back-decay of the muonic molecular ion ( α μ t ) 01
Czapliński
2024
J. Phys. B: At. Mol. Opt. Phys.
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Formation of the weakly bound muonic molecule(He4μt)012

Cited by 2 publications

References 53 publications

Full calculation of μpd and μdt muonic bound levels: Combination of Nikiforov–Uvarov method and variational approach

Full calculation of μpd and μdt muonic bound levels: Combination of Nikiforov–Uvarov method and variational approach

Back-decay of the muonic molecular ion ( α μ t ) 01 Czapliński 2024J. Phys. B: At. Mol. Opt. Phys.0000View full textAdd to dashboardCite

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Back-decay of the muonic molecular ion ( α μ t ) 01
Czapliński
2024
J. Phys. B: At. Mol. Opt. Phys.
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0
0
0
View full text Add to dashboard Cite