Alternate proof of the Rowe-Rosensteel proposition and seniority conservation

Details Alternate proof of the Rowe-Rosensteel proposition and seniority conservation Alternate proof of the Rowe-Rosensteel proposition and seniority conservation

2010-07-15

arxiv.org/abs/1007.2646v1

Phys. Rev. C 82, 014304 (2010)

Physics

Nuclear Physics

Nuclear Theory

9 pages, no figure

Scientific paper

10.1103/PhysRevC.82.014304

For a system with three identical nucleons in a single-$j$ shell, the states can be written as the angular momentum coupling of a nucleon pair and the odd nucleon. The overlaps between these non-orthonormal states form a matrix which coincides with the one derived by Rowe and Rosensteel [Phys. Rev. Lett. {\bf 87}, 172501 (2001)]. The propositions they state are related to the eigenvalue problems of the matrix and dimensions of the associated subspaces. In this work, the propositions will be proven from the symmetric properties of the $6j$ symbols. Algebraic expressions for the dimension of the states, eigenenergies as well as conditions for conservation of seniority can be derived from the matrix.

Affiliated with

Also associated with

No associations

Rating

Alternate proof of the Rowe-Rosensteel proposition and seniority conservation does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Alternate proof of the Rowe-Rosensteel proposition and seniority conservation, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Alternate proof of the Rowe-Rosensteel proposition and seniority conservation will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-50250