FIZIKA B 8 (1999) 1, 181-186

HYPERSPHERICAL GROUND STATE WAVE FUNCTIONS FOR NUCLEI WITH A > 4

NIR BARNEA^a, WINFRIED LEIDEMANN^b,c and GIUSEPPINA ORLANDINI^b,c

^aEuropean Centre for Theoretical Nuclear Physics and Related Areas, Villa Tambosi, I-38050 Villazzano (Trento), Italy

^cIstituto Nazionale di Fisica Nucleare, Gruppo collegato di Trento, Italy

Received 22 January 1999; Accepted 7 June 1999

The general formulation of a technically advantageous method to find the ground state solution of the Schrödinger equation in configuration space for systems with the number of particles A greater than 4 is presented. The wave function is expanded in pair-correlated hyperspherical harmonics beyond the lowest-order approximation and then calculated in the Faddeev approach. A recent efficient recursive method to construct antisymmetric A-particle hyperspherical harmonics is used. The accuracy is tested for the bound-state energies of nuclei with A = 6 to 12 using the effective V4 potentials. The high quality of the obtained results becomes evident from a comparison with other approaches.

PACS numbers: 21.45.+v, 27.20.+n, 31.15.Ja
UDC 539.126, 539.21

Keywords: few-body systems, A > 4 nuclei, hyperspherical harmonics

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