2007/02/28 by Larry Zamick, L. Zamick · 2 citations
Mathematics · Physics and Astronomy · #Biology #Function (biology) #Geology #Law #Mathematical physics #Mathematics #Nuclear physics research studies #Particle (ecology) #Particle physics theoretical and experimental studies #Physics #Political science #Quantum Chromodynamics and Particle Interactions #Quantum mechanics #Seniority #State (computer science) #Wave function #nucl-th
paper · pdf · doi:10.1103/physrevc.75.064305
published as Phys.Rev.C75:064305,2007
openalex publication_date 2007/06/04 · arxiv created 2007/12/21 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
For each of the (9/2), (11/2), and (13/2) single j shells we have only one state with J=j v=3 for a five particle system. For four identical particles there can be more than one state of seniority four. We note some ``ratio'' relations for the coefficients of fractional parentage for the four and five identical particle systems, which are found in the works of de Shalit and Talmi [Nuclear Shell Theory (Academic Press, New York, 1963)] and Talmi [Simple Models of Complex Nuclei (Harwood Academic, Reading, UK, 1993)] to be useful for explaining the vanishing of a five particle coefficients of fractional parentage (cfp). These relations are used to show that there is a special (g9/2)4\phantom\rule0.3em0exI=4\phantom\rule0.3em0exv=4 wave function that cannot be admixed with an I=4\phantom\rule0.3em0exv=2 wave function, even with seniority violating interactions.