The problem of the interaction in the η–6Li system is solved. To solve this problem, we used the cluster model in which the 6Li nucleus is described as a bound state of a deuteron and an α-particle. The cluster approach allows one to reduce the many-body problem to the interaction in a system of three particles: η–d–α. To solve the corresponding three-body equations, we used the separable representation of two-body driving potentials. Calculated values of the η6Li scattering length are presented.
Similar content being viewed by others
References
L. C. Liu and Q. Haider, Phys. Rev., C34, 1845–1854 (1986).
Q. Haider and L. C. Liu, Phys. Lett., B172, 257–260 (1986).
N. V. Shevchenko, S. A. Rakityansky, S. A. Sofianos, et al., Phys. Rev., C58, R3055–R3059 (1998).
H. Garcilazo and M. T. Peña, Phys. Rev., C59, R2389–R2395 (1999).
A. Fix and H. Arenhoevel, Nucl. Phys., A697, 277–302 (2002).
A. Fix and H. Arenhoevel, Phys. Rev., C66, 024002 (1–11) (2002).
N. Barnea, E. Friedman, and A. Gal, Phys. Lett., B747, 345–350 (2015).
P. A. Schmelzbach, W. Gruebler, V. Koenig, and P. Marmier, Nucl. Phys., A184, 193–213 (1972).
F. Ajzenberg-Selove, Nucl. Phys., A413, 1–214 (1984).
A. M. Green and S. Wycech, Phys. Rev., C55, 2167–2170 (1997).
A. Wronska, V. Hejny, C. Wilkin, et al., Eur. Phys. J., A26, 421–428 (2005).
V. A. Tryasuchev, Yad. Fiz., 60, 245–247 (1997).
R. Frascaria, F. Roudot, and M. A. Duval, Phys. Rev., C50, R537–540 (1994).
N. Willis, Le Y. Bornec, A. Zghiche, et al., Phys. Lett., B406, 14–19 (1997).
A. Budzanowski, A. Chatterjee, R. Gebel, et al., Nucl. Phys., A821, 193– 209 (2009).
É. Shmid and Kh. Tsigel’man, The Three-Body Problem in Quantum Mechanics [in Russian], Nauka, Moscow (1979).
R. Aaron and R. D. Amado, Phys. Rev., 3, 857–866 (1966).
Y. Maghrbi, B. Krusche, J. Ahrens, et al., Eur. Phys. J., A49, 38 (1–14) (2013).
Author information
Authors and Affiliations
Corresponding author
Additional information
Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 10, pp. 102–108, October, 2016.
Rights and permissions
About this article
Cite this article
Adamov, E.V., Egorov, M.V. & Fix, A.I. Investigation of the Interaction of η-Mesons with an 6Li Nucleus Using the Nuclear Cluster Model. Russ Phys J 59, 1635–1642 (2017). https://doi.org/10.1007/s11182-017-0955-4
Received:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s11182-017-0955-4