TY - JOUR
T1 - Matrix elements of potentials for L=1 hyperspherical states
AU - Barnea, Nir
AU - Mandelzweig, Victor B.
PY - 1990
Y1 - 1990
N2 - Three-body L=1 symmetrized hyperspherical harmonic functions, realizing irreducible representations of the permutation group of three particles, are expressed in terms of Wigner D functions. Matrix elements of arbitrary two-body potentials between these hyperspherical states, including their velocity-dependent parts, are calculated analytically and expressed through the sum of products of the Wigner 3-j symbols and explicitly written functions of the radial variable.
AB - Three-body L=1 symmetrized hyperspherical harmonic functions, realizing irreducible representations of the permutation group of three particles, are expressed in terms of Wigner D functions. Matrix elements of arbitrary two-body potentials between these hyperspherical states, including their velocity-dependent parts, are calculated analytically and expressed through the sum of products of the Wigner 3-j symbols and explicitly written functions of the radial variable.
UR - http://www.scopus.com/inward/record.url?scp=0000241165&partnerID=8YFLogxK
U2 - 10.1103/PhysRevA.41.5209
DO - 10.1103/PhysRevA.41.5209
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AN - SCOPUS:0000241165
SN - 1050-2947
VL - 41
SP - 5209
EP - 5212
JO - Physical Review A
JF - Physical Review A
IS - 9
ER -