Unusual Manifestations of the Pauli Principle in Scattering of Atomic Nuclei

  • Yu. A. Lashko Bogolyubov Institute for Theoretical Physics, Nat. Acad. of Sci. of Ukraine
  • G. F. Filippov Bogolyubov Institute for Theoretical Physics, Nat. Acad. of Sci. of Ukraine
Keywords: Pauli principle, resonating group method, Fock–Bargmann space, wave function

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 a +t + n nuclear system has been investigated. The norm kernel for the a + 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 = a+t, 5He = a + n; and 4H = t + n binary subsystems has been given.

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


Published
2018-10-10
How to Cite
Lashko, Y., & Filippov, G. (2018). Unusual Manifestations of the Pauli Principle in Scattering of Atomic Nuclei. Ukrainian Journal of Physics, 58(6), 534. https://doi.org/10.15407/ujpe58.06.0534
Section
Nuclei and nuclear reactions