Nuclear shell model calculations of neutralino-nucleus cross sections for [sup 29]Si and [sup 73]Ge

Journal Article · Wed Dec 15 00:00:00 EST 1993 · Physical Review, D (Particles Fields); (United States)

DOI:https://doi.org/10.1103/PhysRevD.48.5519· OSTI ID:5802400

Ressell, M T; Aufderheide, M B; Bloom, S D; Griest, K; Mathews, G J; Resler, D A ^[1]

---

1. P-Division/Physical Sciences Directorate, Lawrence Livermore National Laboratory, Livermore, California 94550 (United States) Institute of Geophysics and Planetary Physics, Lawrence Livermore National Laboratory, Livermore, California 94550 (United States) Physics Department, University of California, San Diego, La Jolla, California 92093 (United States) N-Division/Physical Sciences Directorate, Lawrence Livermore National Laboratory, Livermore, California 94550 (United States)

We present the results of detailed nuclear shell model calculations of the spin-dependent elastic cross section for neutralinos scattering from [sup 29]Si and [sup 73]Ge. The calculations were performed in large model spaces which adequately describe the configuration mixing in these two nuclei. As tests of the computed nuclear wave functions we have calculated several nuclear observables and compared them with the measured values and found good agreement. In the limit of zero momentum transfer we find scattering matrix elements in agreement with previous estimates for [sup 29]Si but significantly different than previous work for [sup 73]Ge. A modest quenching, in accord with shell model studies of other heavy nuclei, has been included to bring agreement between the measured and calculated values of the magnetic moment for [sup 73]Ge. Even with this quenching, the calculated scattering rate is roughly a factor of 2 higher than the best previous estimates; without quenching, the rate is a factor of 4 higher. This implies a higher sensitivity for germanium dark matter detectors. We also investigate the role of finite momentum transfer upon the scattering response for both nuclei and find that this can significantly change the expected rates. We close with a brief discussion of the effects of some of the non-nuclear uncertainties upon the matrix elements.

• OSTI ID: 5802400
• Journal Information: Physical Review, D (Particles Fields); (United States), Vol. 48:12; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
73 NUCLEAR PHYSICS AND RADIATION PHYSICS
ELASTIC SCATTERING
SHELL MODELS
GERMANIUM 73 TARGET
SILICON 29 TARGET
CROSS SECTIONS
MAGNETIC MOMENTS
MATRIX ELEMENTS
MOMENTUM TRANSFER
NEUTRAL PARTICLES
SUPERSYMMETRY
WAVE FUNCTIONS
FUNCTIONS
MATHEMATICAL MODELS
NUCLEAR MODELS
PARTICLES
SCATTERING
SYMMETRY
TARGETS
662440* - Properties of Other Particles Including Hypothetical Particles- (1992-)
663120 - Nuclear Structure Models & Methods- (1992-)