Abstract
We present new theoretical results of the flux-averaged 12C(ν e , e −)12N and 12C(ν μ , μ −)12N cross sections with ν μ (ν e ) coming from the decay-in-flight (decay-at-rest) of π +(μ +). These cross sections are relevant for the interpretation of the recent experiments on neutrino oscillation performed by the LSND and KARMEN collaborations. The microscopic approaches used are charge-exchange random phase approximation (RPA), charge-exchange RPA among quasiparticles (QRPA), and the Shell Model. We show that the exclusive cross sections are in nice agreement with the experimental values for both reactions when a large-scale shell-model calculation is performed. Concerning the inclusive cross section for ν μ coming from the decay-in-flight of π +, the calculated value keeps overestimating the experimental one by 20–30%, while the inclusive cross section due to ν e coming from the decay-at-rest of μ + is in agreement within experimental error bars with the measured values. The shell-model prediction for the decay-in-flight neutrino cross section is reduced compared to the RPA one because of the different kind of correlations in the calculation of the spin modes (in particular, the quenching of the 1+) and partially due to the shell-model configuration basis, which is not large enough, as we show using arguments based on sum rules.
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References
C. Athanassopoulos (LSND Collab.), Phys. Rev. Lett. 81, 1774 (1998); Phys. Rev. C 58, 2489 (1998).
K. Eitel, in Proceedings of the 32nd Rencontres de Moriond, Electroweak Interactions and Unified Theories, Les Arcs, France, 1997.
C. Athanassopoulos (LSND Collab.), Phys. Rev. Lett. 77, 3082 (1996); 75, 2650 (1995).
K. Eitel and B. Zeitnitz (KARMEN Collab.), Nucl. Phys. B (Proc. Suppl.) 77, 212 (1999).
B. Armbruster et al., Phys. Rev. C 57, 3414 (1998).
S. Cohen and D. Kurath, Nucl. Phys. 73, 1 (1965).
C. Volpe, N. Auerbach, G. Colò, T. Suzuki, and N. Van Giai, Phys. Rev. C 62, 015501 (2000).
N. Auerbach, N. Van Giai, and O. K. Vorov, Phys. Rev. C 56, R2368 (1997).
E. Kolbe, K. Langanke, and P. Vogel, Nucl. Phys. A 652, 91 (1999).
A. C. Hayes and I. S. Towner, Phys. Rev. C 61, 044603 (2000).
T. Kuramoto, M. Fukugita, Y. Kohyama, and K. Kubodera, Nucl. Phys. A 512, 711 (1990).
D. H. Wilkinson and B. E. F. Macefield, Nucl. Phys. A 232, 58 (1974).
J. Engel, Phys. Rev. C 57, 2004 (1998).
N. Van Giai and H. Sagawa, Phys. Lett. B 106B, 379 (1981).
M. Beiner, H. Flocard, N. Van Giai, and Ph. Quentin, Nucl. Phys. A 238, 29 (1975).
K. Grotz and H. V. Klapdor, The Weak Interaction in Nuclear-, Particle-and Astrophysics (Adam Hilger, Bristol, 1990).
D. H. Gloeckner and R. D. Lawson, Phys. Lett. B 53B, 313 (1974).
E. K. Warburton and B. A. Brown, Phys. Rev. C 46, 923 (1992).
B. A. Brown, A. Etchegoyen, and W. D. M. Rae, MSU Cyclotron Laboratory Report No. 524 (1986) (OXBASH — The Oxford, Buenos-Aires, Michigan State, Shell Model Program).
L. J. Tassie and F. C. Barker, Phys. Rev. 111, 940 (1958).
C. Athanassopoulos (LSND Collab.), Phys. Rev. C 56, 2806 (1997); M. Albert et al., Phys. Rev. C 51, R1065 (1995).
D. A. Krakauer et al., Phys. Rev. C 45, 2450 (1992); R. C. Allen et al., Phys. Rev. Lett. 64, 1871 (1990).
C. Athanassopoulos (LSND Collab.), Phys. Rev. C 55, 2078 (1997).
B. E. Bodmann (KARMEN Collab.), Phys. Lett. B 332, 251 (1994); J. Kleinfeller et al., in Neutrino 96, Ed. by K. Enquist, H. Huitu, and J. Maalampi (World Sci., Singapore, 1997).
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From Yadernaya Fizika, Vol. 64, No. 7, 2001, pp. 1242–1245.
Original English Text Copyright © 2001 by Volpe, Auerbach, Colò, Suzuki, Van Giai.
This article was submitted by the authors in English.
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Volpe, C., Auerbach, N., Coló, G. et al. Neutrino-12C reactions and the LSND and KARMEN experiments on neutrino oscillations. Phys. Atom. Nuclei 64, 1165–1168 (2001). https://doi.org/10.1134/1.1389536
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DOI: https://doi.org/10.1134/1.1389536