Abstract
In a recent paper [1], we applied the methods of quantum reactive scattering to the key resonant reaction in the muon catalyzed fusion (MCF) cycle that leads to the formation of a dtμ muonic molecular ion, in which fusion takes place very rapidly. We calculated reaction probabilities for tμ + D2 scattering for incident kinetic energies less than 0.6 eV in the centre of mass frame and total angular momentum J tot=0, using the APH (adiabatically adjusting, principal axes hyperspherical) formalism of Pack and Parker [2], which had previously been applied to simple chemical reactions. This was the first successful application of the above methods to the tμ + D2 reaction. In this paper, we examine a significant discrepancy between our values for the back decay partial width for the resonances we consider and the results that have been obtained using previous methods.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
Zeman, V., Armour, E. A. G. and Pack, R. T., Phys. Rev. A 61 (2000), 052713.
Pack, R. T. and Parker, G. A., J. Chem. Phys. 87 (1987), 3888; (1987), 90; (1989), 3511.
Armour, E. A. G., J. Chem. Soc., Faraday Trans. 93 (1997), 1011.
Vinitsky, S. I., Ponomarev, L. I. and Faifman, M. P., Zh. Eksp. Teor. Fiz. 85 (1982), 985 [Sov. Phys. JETP 55 (1982), 578].
Bhatia, A. K., Drachman, R. J. and Chatterjee, L., Phys. Rev. A 38 (1988), 3400.
Scrinzi, A. and Szalewicz, K., Phys. Rev. A 39 (1989), 2855.
Armour, E. A. G., Lewis, D. M. and Hara, S., Phys. Rev. A 46 (1992), 6888.
Kołos, W. and Wolniewicz, L., J. Mol. Spect. 54 (1975), 303.
Bransden, B. H. and Joachain, C. J., Physics of Atoms and Molecules, Longman, London and New York, 1983.
Petrov, Yu. V. and Petrov, V. Yu., Zh. Eksp. Teor. Fiz. 100 (1991), 56 [Sov. Phys. JETP 73 (1991), 29].
Faifman, M. P., Men'shikov, L. I., Ponomarev, L. I., Puzynin, I. V., Puzynina, T. P. and Strizh, T. A., Z. Phys. D 2 (1986), 79.
Scrinzi, A., Szalewicz, K. and Monkhorst, H. J., Phys. Rev. A 37 (1988), 2270.
Men'shikov, L. I., Yad. Fiz. 42 (1985), 1184 [Sov. J. Nucl. Phys. 42 (1985), 750].
Men'shikov, L. I. and Faifman, M. P., Yad. Fiz. 43 (1986), 650 [Sov. J. Nucl. Phys. 43 (1986), 414].
Faifman, M. P., Men'shikov, L. I. and Strizh, T. A., Muon Catal. Fusion 4 (1989), 1.
Faifman, M. P., Strizh, T. A., Armour, E. A. G. and Harston, M. R., Hyp. Interact. 101 (1996), 179; Mathematics Preprint Series, University of Nottingham 94.32 (1994).
Lane, A. M., Phys. Letts. 98A (1983), 337.
Vinitsky, S., Ponomarev, L. I., Puzynin, I. V., Puzynina, T. P., Somov, L. N. and Faifman, M. P., Zh. Eksp. Teor. Fiz. 74 (1978), 849 [Sov. Phys. JETP 47 (1978), 444].
Ponomarev, L. I., Contemp. Phys. 31 (1990), 219.
Froelich, P., Adv. Phys. 41 (1992), 405.
Faifman, M. P., Muon Catal. Fusion 4 (1989), 341.
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Zeman, V., Armour, E.A.G. Results for the tμ+D2 Reaction by the Methods of Quantum Reactive Scattering. Hyperfine Interactions 138, 255–264 (2001). https://doi.org/10.1023/A:1020800211936
Issue Date:
DOI: https://doi.org/10.1023/A:1020800211936