TY - JOUR

T1 - Hyperspherical functions with arbitrary permutational symmetry

T2 - Reverse construction

AU - Barnea, Nir

PY - 1999

Y1 - 1999

N2 - An algorithm is formulated for the construction of hyperspherical functions with an arbitrary permutational symmetry. As proposed by Novoselsky and Katriel [Phys. Rev. A [Formula Presented] 833 (1994)], we use a recursive procedure, introducing hyperspherical coefficients of fractional parentage (hscfps). These coefficients are the eigenvectors of the transposition class sum of the symmetric group in an appropriate basis. Utilizing a reversed-order set of the Jacobi coordinates we obtain a set of symmetrized basis functions well suited for few-body calculations as the evaluation of matrix elements of two-body and three-body forces involves the hscfps but no further rotation of the Jacobi coordinates. The results are applicable to the study of atomic, molecular and nuclear few-body problems. Numerical results for nuclear soft-core model potential are presented for 3, 4, and 5 body systems.

AB - An algorithm is formulated for the construction of hyperspherical functions with an arbitrary permutational symmetry. As proposed by Novoselsky and Katriel [Phys. Rev. A [Formula Presented] 833 (1994)], we use a recursive procedure, introducing hyperspherical coefficients of fractional parentage (hscfps). These coefficients are the eigenvectors of the transposition class sum of the symmetric group in an appropriate basis. Utilizing a reversed-order set of the Jacobi coordinates we obtain a set of symmetrized basis functions well suited for few-body calculations as the evaluation of matrix elements of two-body and three-body forces involves the hscfps but no further rotation of the Jacobi coordinates. The results are applicable to the study of atomic, molecular and nuclear few-body problems. Numerical results for nuclear soft-core model potential are presented for 3, 4, and 5 body systems.

UR - http://www.scopus.com/inward/record.url?scp=0000540204&partnerID=8YFLogxK

U2 - 10.1103/PhysRevA.59.1135

DO - 10.1103/PhysRevA.59.1135

M3 - Article

AN - SCOPUS:0000540204

SN - 1050-2947

VL - 59

SP - 1135

EP - 1146

JO - Physical Review A - Atomic, Molecular, and Optical Physics

JF - Physical Review A - Atomic, Molecular, and Optical Physics

IS - 2

ER -