【摘 要】
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A partial conservation of the seniority quantum number in j = 9/2 shells has been found recently in a numerical application.In this contribution I will present an analytic proof for this problem.I wil
【机 构】
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Royal Institute of Technology, Sweden
【出 处】
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The XXIX International Colloquium on Group-Theoretical Metho
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A partial conservation of the seniority quantum number in j = 9/2 shells has been found recently in a numerical application.In this contribution I will present an analytic proof for this problem.I will analyze the properties of the non-diagonal matrix elements with the help of the one-particle and two-particle coefficients of fractional parentage (cfps).It is found that all non-diagonal (and the relevant diagonal) matrix elements can be re-expressed in closed forms and are proportional to certain one-particle cfps.This remarkable occurrence of partial dynamic symmetry is the consequence of the peculiar property of the j = 9/2 shell,where all v = 3 and 5 states are uniquely defined.
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