• Українська
  • English

< | >

Current issue   Ukr. J. Phys. 2014, Vol. 58, N 6, p.534-543
https://doi.org/10.15407/ujpe58.06.0534    Paper

Lashko Yu.A., Filippov G.F.

Bogolyubov Institute for Theoretical Physics, Nat. Acad. of Sci. of Ukraine
(14b, Metrolohichna Str., Kyiv 03680, Ukraine; e-mail: ylashko@gmail.com)

Unusual Manifestations of the Pauli Principle in Scattering of Atomic Nuclei

Section: Nuclei and nuclear reactions
Original Author's Text: English

Abstract: Within the microscopic model based on the algebraic version of the resonating group method, the role of the Pauli principle in the formation of the continuum wave function of the α+ + t + n nuclear system has been investigated. The norm kernel for the α + t + n three-cluster system has been constructed in the Fock–Bargmann space. The complete classification of the eigenfunctions and the eigenvalues of the 8Li norm kernel by the eigenvalues of the 7Li = α+t, 5He = α + n, and 4H = t + n binary subsystems has been given.

Key words: Pauli principle, resonating group method, Fock–Bargmann space, wave function.

References:

  1. D.R. Tilley et al., Nucl. Phys. A 745, 155 (2004). https://doi.org/10.1016/j.nuclphysa.2004.09.059
  2. Yu.A. Lashko and G.F. Filippov, Nucl. Phys. A 806, 124 (2008). https://doi.org/10.1016/j.nuclphysa.2008.03.003
  3. Yu.A. Lashko and G.F. Filippov, Nucl. Phys. A 826, 24 (2009). https://doi.org/10.1016/j.nuclphysa.2009.05.071
  4. J.A. Wheeler, Phys. Rev. 32, 1083 (1937). https://doi.org/10.1103/PhysRev.52.1083
  5. V. Bargmann, Ann. Math. 48, 568 (1947). https://doi.org/10.2307/1969129
  6. H. Horiuchi, Prog. Theor. Phys. 55, 1448 (1976). https://doi.org/10.1143/PTP.55.1448
  7. Y. Fujiwara and H. Horiuchi, Prog. Theor. Phys. 63, 895 (1980). https://doi.org/10.1143/PTP.63.895
  8. G.F. Filippov, I. Yu. Rybkin, and S. V. Korennov, J. Math. Phys. 36, 4571 (1995). https://doi.org/10.1063/1.530909
  9. A.F. Nikiforov, S.K. Suslov, and V.B. Uvarov, Classical Orthogonal Polynomials of a Discrete Variable (Springer, Berlin, 1991). https://doi.org/10.1007/978-3-642-74748-9
  10. Yu.A. Lashko and G.F. Filippov, Phys. Atom. Nucl. 70, 1017 (2007). https://doi.org/10.1134/S1063778807060051