Abstract
Capture reactions for very low-energy n-d and p-d systems are calculated and compared with experiment, as are low-energy n-d and p-d scattering. We find excellent agreement for the n-d scattering lengths, but poor agreement for the p-d case, which we believe is a problem with the experimental extrapolation. The n-d radiative capture is sensitive to details of the meson-exchange currents, but reasonable models agree with the data. The latter models are in good agreement with experiment when extended to the p-d case. Our large quartet capture rate resolves a long-standing anomaly. The E0 capture matrix element recently obtained from a reanalysis of internal conversion in muonic molecules is in excellent agreement with our predictions. This matrix element is very clean theoretically and provides the best test of the calculations.
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References
C. R. Chen, G. L. Payne, J. L. Friar, and B. F. Gibson, Phys. Rev. C 31, 2266 (1985);
C. R. Chen, G. L. Payne, J. L. Friar, and B. F. Gibson, Phys. Rev. C 33, 401 (1986);
J. L. Friar, B. F. Gibson, and G. L. Payne, Ibid, 35, 1502 (1987).
J. Carlson, Phys. Rev. C 36, 2026 (1987).
J. Carlson, private communication.
W. Glöckle, H. Witala, and Th. Cornelius, Nucl. Phys. A508, 115c (1990).
C. R. Chen, G. L. Payne, J. L. Friar, and B. F. Gibson, Phys. Rev. C 44, 50 (1991).
W. H. Breunlich, P. Kammell, J. S. Cohen, and M. Leon, Annu. Rev. Nucl. Part. Sci. 39, 311 (1989).
Gy. Bencze, C. Chandler, J. L. Friar, A. G. Gibson, and G. L. Payne, Phys. Rev. C35, 1188 (1987).
A. C. Phillips, Phys. Rev. 142, 984 (1966).
R. V. Reid, Ann. Phys. (NY) 50, 441 (1968);
See B. Day, Phys. Rev. C24, 1203 (1981)
R. B. Wiringa, R. A. Smith, and T. A. Ainsworth, Phys. Rev. C29, 1207 (1984).
S. A. Coon, M. D. Scadron, P. C. McNamee, B. R. Barrett, D. W. E. Blatt, and B. H. J. McKellar, Nucl. Phys. A317, 242 (1979).
H. T. Coelho, T. K. Das, and M. R. Robilotta, Phys. Rev. C 28, 1812 (1983).
W. Dilg, L. Koester, and W. Nistler, Phys. Lett. 36B, 208 (1971).
W. T. H. Van Oers and K. W. Brockman, Jr., Nucl. Phys. A92, 561 (1967).
J. Arvieux, Nucl. Phys. A221, 253 (1974).
E. Huttel, W. Arnold, H. Baumgart, H. Berg, and G. Clausnitzer, Nucl. Phys. A406, 443 (1983);
E. Huttel, W. Arnold, H. Berg, H. H. Kranse, J. Ulbricht, and G. Clausnitzer, Ibid, A406, 435 (1986).
C. R. Chen, G. L. Payne, J. L. Friar, and B. F. Gibson, Phys. Rev. C 39, 1261 (1989).
E. T. Jurney, P. J. Bendt, and J. C. Browne, Phys. Rev. C 25, 2810 (1982);
J. S. Merritt, J. G. V. Taylor, and A. W. Boyd, Nucl. Sci. Eng. 34, 195 (1968).
We have combined the results of these two latest measurements.
L. I. Schiff, Phys. Rev. 52, 242 (1937).
J. L. Friar, B. F. Gibson, and G. L. Payne, Phys. Lett. 251B, 11 (1990).
R. Schiavilla, V. R. Pandharipande, and D. O. Riska, Phys. Rev. C 40, 2294 (1989).
G. M. Griffiths, M. Lal, and C. D. Scarfe, Can. J. Phys. 41, 724 (1963).
J. L. Friar, B. F. Gibson, H. C. Jean, and G. L. Payne, Phys. Rev. Lett. 66, 1827 (1991).
S. Cohen, D. L. Judd, and R. J. Riddell, Jr., Phys. Rev. 119, 384 (1960).
S. S. Gerstein, Soy. Phys. JETP 13, 488 (1961).
C. Petitjean, et al.,in Proceedings of an International Symposium on Muon-Catalyzed Fusion —pCF89,ed. by J. D. Davies (Rutherford Appleton, 1990), p. 42; C. Petitjean, et al.,(unpublished).
L. N. Bogdanova, Yu. A. Kuperin, A. A. Kvitsinsky, V. E. Markushin, S. P. Merkuriev, and L. I. Ponomarev, Muon Catal. Fusion 3, 377 (1988).
S. A. Alexander, P. Froelich, and H. J. Monkhorst, Phys. Rev. A 41, 2854 (1990);
S. A. Alexander; private communication.
L. N. Bogdanova and V. E. Markushin (unpublished).
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© 1992 Springer-Verlag
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Friar, J.L. (1992). p-d Capture Reactions in Muonic Molecules. In: Ciofi degli Atti, C., Pace, E., Salmè, G., Simula, S. (eds) Few-Body Problems in Physics. Few-Body Systems, vol 6. Springer, Vienna. https://doi.org/10.1007/978-3-7091-7581-1_33
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DOI: https://doi.org/10.1007/978-3-7091-7581-1_33
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