Study of the structure of 16,18O nuclei in the alpha-cluster model by hyperspherical functions and Feynman’s path integrals

2 Jul 2025, 16:50
20m
70(2013) (Санкт-Петербургский Государственный Университет )

70(2013)

Санкт-Петербургский Государственный Университет

Oral Section 1. Experimental and theoretical studies of nuclei. 1. Experimental and theoretical studies of nuclei

Speaker

Anton Bazhin (Joint Institute of Nuclear Research, Bogolubov Labaratory of Theoretical Physics, Dubna, Russia)

Description

The light nuclei $^{16,18}$O used as target and projectile nuclei in the many experimental studies of the nuclear reactions. The study of the structure of these nuclei is necessary for theoretical description of such reactions. Wave functions of the ground state of the $^{16,18}$O nuclei in the alpha-cluster model are calculated using Feynman’s path integrals and hyperspherical functions [1,2]. Cubic spline interpolation is applied for solving hyperradial equations [1]. The $^{16}$O nucleus is described as 4-body system 4α. The alpha-alpha interaction in the $^{16}$O nucleus is changed in comparison with well-known Ali-Bodmer potential [3]. The $^{18}$O nucleus is described as 3-body system consisted from $^{16}$O-like cluster and two neutrons [4]. In addition, the shell model of the deformed nuclei is used to calculate the nucleon states in the $^{16,18}$O nucleus for comparison against alpha-cluster model.

  1. V.V. Samarin, Eur. Phys. J. A, 58, 117 (2022).
  2. A.S. Bazhin, V.V. Samarin, Bull. Russ. Acad. Sci: Phys., 88, 1177 (2024).
  3. S. Ali, A.R. Bodmer, Nucl. Phys., 80, 99 (1966).
  4. V.V. Samarin, Phys. At. Nucl., 78, 861 (2015).

Primary author

Anton Bazhin (Joint Institute of Nuclear Research, Bogolubov Labaratory of Theoretical Physics, Dubna, Russia)

Co-author

Viacheslav Samarin (Joint Institute for Nuclear Research, Dubna, Russia)

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