Abstract
It is shown that the simplest strong-interaction models (those that employ the Breit boundary condition and a delta-function potential) involving only three free parameters describe adequately the properties of the dt and d 3He systems in the vicinity of the 5He*(3/2+) and 5Li*(3/2+) resonances—that is, at energies in the regions E≲3E C and E≲2E C where E C is the corresponding Coulomb energy. For these systems, the complex values of the scattering length, of the effective range, and of the shape parameter are extracted from experimental data on the reaction cross section and proton polarization in pα scattering (in the case of the d 3He system). The astrophysical function is extrapolated to the low-energy region (0≤E<0.1E C), which is of importance for thermonuclear investigations, but which is hardly accessible to direct measurements.
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References
L. D. Landau and Ya. A. Smorodinskii, Zh. Éksp. Teor. Fiz. 14, 272 (1944).
H. A. Bethe, Phys. Rev. 76, 38 (1949).
A. Bohr and B. R. Mottelson, Nuclear Structure, Vol. 1: Single-Particle Motion (Benjamin, New York, 1969; Mir, Moscow, 1971).
D. K. Tilley, H. R. Weller, and H. H. Hasan, Nucl. Phys. A 474, 1 (1987).
F. Aisenberg-Selove, Nucl. Phys. A 490, 1 (1988).
L. R. Kok, Phys. Rev. Lett. 45, 427 (1980).
B. M. Karnakov, V. D. Mur, S. G. Pozdnyakov, and V. S. Popov, J. Mosc. Phys. Soc. 2, 103 (1992).
A. V. Kulik, Yad. Fiz. 59, 217 (1996) [Phys. At. Nucl. 59, 199 (1996)].
J. Benn, E. B. Dalley, H. H. Muller, et al., Nucl. Phys. A 106, 296 (1968).
G. E. Brown and A. D. Jackson, The Nucleon-Nucleon Interaction (North-Holland, Amsterdam, 1976).
O. Dumbrajs, R. Kock, G. C. Oades, et al., Nucl. Phys. B 216, 277 (1983).
T. A. Tombrello, Phys. Lett. 23, 106 (1966).
N. R. Heydenburg and G. M. Temmer, Phys. Rev. 104, 123 (1956).
R. Nilson, W. K. Jentschke, G. R. Briggs, et al., Phys. Rev. 109, 850 (1958).
T. A. Tombrello and L. S. Senhouse, Phys. Rev. B 129, 2252 (1963).
J. L. Russell, G. C. Phillips, and C. W. Reich, Phys. Rev. 104, 135 (1956).
B. M. Karnakov, V. D. Mur, S. G. Pozdnyakov, and V. S. Popov, Pis'ma Zh. Éksp. Teor. Fiz. 54, 131 (1991) [JETP Lett. 54, 127 (1991)].
B. M. Karnakov, A. V. Kulik, V. D. Mur, and V. S. Popov, J. Mosc. Phys. Soc. 8, 291 (1998).
H. Margenau, Phys. Rev. 59, 37 (1941).
G. Breit and W. G. Bouricius, Phys. Rev. 74, 1546 (1948).
G. Breit, Theory of Resonance Reactions (in Handbuch der Physik XLI/1 Springer, Berlin, 1959; Inostrannaya Literatura, Moscow, 1961).
V. D. Mur, B. M. Karnakov, S. G. Pozdnyakov, and V. S. Popov, Pis'ma Zh. Éksp. Teor. Fiz. 56, 133 (1992) [JETP Lett. 56, 127 (1992)]; Yad. Fiz. 56 (2), 125 (1993) [Phys. At. Nucl. 56, 217 (1993)].
Ya. B. Zel'dovich and S. S. Gershtein, Usp. Fiz. Nauk 71, 581 (1960) [Sov. Phys. Usp. 3, 593 (1960].
S. S. Gerstein and L. I. Ponomarev, Phys. Lett. B 72B, 80 (1977).
P. Ackerbauer, J. Werner, W. H. Breunlich, et al., Nucl. Phys. A 652, 311 (1999).
S. Burles and D. Tytler, Astrophys. J. 499, 699 (1998).
I. Ya. Barit and V. A. Sergeev, Tr. Fiz. Inst. Akad. Nauk SSSR 44, 3 (1969).
B. M. Karnakov, V. D. Mur, S. G. Pozdnyakov, and V. S. Popov, Pis'ma Zh. Éksp. Teor. Fiz. 51, 352 (1990) [JETP Lett. 51, 399 (1990)]; Yad. Fiz. 52, 1540 (1990) [Sov. J. Nucl. Phys. 52, 973 (1990)].
V. S. Popov, B. M. Karnakov, and V. D. Mur, Zh. Éksp. Teor. Fiz. 110, 1537 (1996) [JETP 83, 849 (1996)].
N. J. Jarmie, R. E. Brown, and R. A. Hardekopf, Phys. Rev. C 29, 2031 (1984).
R. E. Brown, N. J. Jarmie, and G. M. Hale, Phys. Rev. C 35, 1999 (1987).
A. P. Kobzev, V. I. Salatskii, and S. A. Telezhnikov, Yad. Fiz. 3, 1060 (1966) [Sov. J. Nucl. Phys. 3, 774 (1966)].
L. N. Bogdanova, V. E. Markushin, V. S. Melezhik, and L. I. Ponomarev, Zh. Éksp. Teor. Fiz. 81, 829 (1981) [Sov. Phys. JETP 54, 442 (1981)]; Yad. Fiz. 34, 1191 (1981) [Sov. J. Nucl. Phys. 34, 662 (1981)].
Yu. G. Balashko, Tr. Fiz. Inst. Akad. Nauk SSSR 33, 66 (1965).
V. D. Mur, B. M. Karnakov, S. G. Pozdnyakov, and V. S. Popov, Yad. Fiz. 57, 820 (1994) [Phys. At. Nucl. 57, 769 (1994)].
B. Hoop and H. H. Barschall, Nucl. Phys. 83, 65 (1966).
B. Haesner, W. Heeringa, H. O. Klages, et al., Phys. Rev. C 28, 995 (1983).
A. Krauss, H. W. Becker, H. P. Trautvetter, et al., Nucl. Phys. A 465, 150 (1987).
W. H. Geist, C. R. Brune, H. J. Karwowski, et al., Phys. Rev. C 60, 054003 (1999).
A. D. Bacher, G. R. Plattner, H. E. Conzett, et al., Phys. Rev. C 5, 1147 (1972).
G. R. Plattner, A. D. Bacher, and H. E. Conzett, Phys. Rev. C 5, 1158 (1972).
H. Foote, O. Chamberlain, E. H. Rogers, and H. M. Steiner, Phys. Rev. 122, 959 (1961).
V. D. Mur and V. S. Popov, Teor. Mat. Fiz. 65, 238 (1985).
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Translated from Yadernaya Fizika, Vol. 66, No. 1, 2003, pp. 89–99.
Original Russian Text Copyright © 2003 by Kulik, Mur.
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Kulik, A.V., Mur, V.D. dt, d 3He, and pα scattering in the vicinity of the 5He* and 5Li* resonances. Phys. Atom. Nuclei 66, 87–98 (2003). https://doi.org/10.1134/1.1540661
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DOI: https://doi.org/10.1134/1.1540661