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The Nu-SNS proposal - ORNL Physics Division - Oak Ridge ...

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Figure 3.3 Composition details at two points during stellar core collapse [35].<br />

However, it is well known that the residual nuclear interaction (beyond the IPM) mixes the fp<br />

and gds shells, for example, making the closed 1g 9/2 shell a magic number in stable nuclei<br />

(N=50) rather than the closed fp shell (N=40). To examine the possibility that nuclear electron<br />

capture is not quenched at N=40, cross sections for charged-current electron and electronneutrino<br />

capture on many nuclei up to at least A=100 are needed to accurately simulate<br />

core deleptonization. Full shell model diagonalization calculations remain impossible in this<br />

regime due to the large number of available levels in the combined fp+gds system [27].<br />

Langanke et al. [38] developed a “hybrid” scheme, employing Shell Model Monte Carlo<br />

(SMMC) calculations of the temperature-dependent occupation of the various single-particle<br />

orbitals to serve as input to Random Phase Approximation (RPA) calculations for allowed and<br />

forbidden transitions to calculate the capture rate. With this approach, Langanke et al. [39]<br />

ν-<strong>SNS</strong> Proposal 22 8/4/2005

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