Pade approximants and the calculation of effective interactions

Conference · Wed Jan 01 04:00:00 EST 1975

OSTI ID:4106426

Schucan, T H; Barrett, B R ^[1]

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1. ed.

It is known that the series expansion of the effective interaction in nuclei diverges in practical applications due to the occurrence of low lying collective states. An approximation scheme which can be used to overcome the difficulties connected with this divergence is reviewed and it is shown that a continued fraction expansion can be used to calculate the eigenstate that has the larger overlap with the model space. An extension of this method is obtained by using Pade approximants (P.A.) which are then applied to the effective interaction, and to related matrices and matrix elements. Mathematical properties of the P.A. are discussed in light of these applications. 7 figures. (SDF)

• Research Organization: Swiss Inst. for Nuclear Research, Villigen
• NSA Number: NSA-33-013769
• OSTI ID: 4106426
• Country of Publication: United States
• Language: English

Related Subjects

*NUCLEAR STRUCTURE-- PADE APPROXIMATION
*NUCLEON-NUCLEON INTERACTIONS-- PADE APPROXIMATION
643501*
CONTINUED FRACTIONS
EIGENVALUES
MATRIX ELEMENTS
N69210* --Physics (Nuclear)--Nuclear Theory--Nuclear Structure
SERIES EXPANSION