103 citations of the journal in the Russian Science Citation Index | Vol. 4 No 3 was published on September 23, 2020. | Clarivate Analytics | Control Committee in Education and Science of the Republic of Kazakhstan |


Some aspects related to the transformation of the three body wave function built on the Gaussian basis

Number 3_Vol.4

AUTHORS: B.A. Urazbekov, A.S. Denikin, N. Itaco, N.T. Tursunbayev

DOI: 10.29317/ejpfm.2020040302

PAGES: 201 - 212

DATE: 2020-09-23


ABSTRACT

The three-body wave function built on the basis of the Gaussian function, calculated using the threebody Hamiltonian with the Pauli blocking operator is studied. As an example, the wave function of the ground state of the 9 Be was taken. Analytical expressions are presented for the overlap matrix elements of the basis function for both basic and alternative set of relative Jacobi coordinates. The correlation densities of the wave function are calculated and illustrated depending on the set of orbital quantum numbers.


KEYWORDS

the three-body problem, Gaussian basis, relative Jacobi coordinates


CITED REFERENCES

[1] I. Tanihata et al., Physical Review Letters 55 (1985) 2676.

[2] K. Varga, Y. Suzuki, Physical Review C 52 (1995) 2885.

[3] K. Varga et al., Nuclear Physics A 571 (1994) 447-466.

[4] V. Kukulin et al., Nuclear Physics A 417 (1984) 128-156.

[5] V. Kukulin et al., Nuclear Physics A 453 (1986) 365-388.

[6] Y. Suzuki et al., Stochastic variational approach to quantummechanical few-body problems 54 (Springer Science & Business Media, 1998).

[7] D.A. Varshalovich et al., Quantum theory of angular momentum (World Scientific, 1988).

[8] V. Kukulin et al., Dynamic multicluster model of light nuclei. main formalism. Tech. Rep., Moskovskij Gosudarstvennyj Univ. (1990).

[9] V. Voronchev et al., Physics of Atomic Nuclei 57 (1994) 1890-1904.

[10] V. Voronchev et al., Few-Body Systems 18 (1995) 191-202.


Download file Open file