p−p′ system with B field and projection operator noncommutative solitons

Abstract

We study the system of the Dp -brane with Dp-brane (p < p ) inside, in the case where B ij field is a nonvanishing constant. In order to understand how the Dp-brane is viewed from the Dp -brane worldvolume theory, we investigate the process in which the Dp-brane is probed with p -p open string. We calculate the scattering amplitudes among p-p open strings and p -p open strings and show that not only the Weyl transform of the projection operator onto the ground state but also those onto higher excited states emerge as multiplicative factors of the amplitudes. *

Searching for dark matter—Theoretical rates and exclusion plots due to the spin

“…The nuclear matrix elements Ω 1 (0) (Ω 0 (0)) associated with the isovector (isoscalar) components are normalized so that, in the case of the proton, they yield ζ spin = 1 at u = 0. The couplings f 1 A (f 0 A ) are obtained by multiplying the corresponding elementary amplitudes obtained at the quark level by suitable renormalization factors g 0 A and g 1 A given in terms of the quantities ∆q given by Ellis [39] g 0 A = ∆u + ∆d + ∆s = 0.77 − 0.49 − 0.15 = 0.13 , g 1 A = ∆u − ∆d = 1.26 (11) Thus, barring very unusual circumstances at the quark level, the isovector component is expected to be dominant. It is for this reason that we started our discussion in the isospin basis.…”

“…Furthermore they do not affect the WIMP density in our vicinity derived from the rotational curves. Thus one may assume that large spin cross sections are possible in such models [10], [11], which are non-universal gaugino mass models and give rise to large higgsino components. Sizable spin cross sections also arise in the context of other models, which have appeared recently [12], [13]- [14] (see also Ellis et al [15] for an update).…”

Theoretical direct WIMP detection rates for inelastic scattering to excited states

“…Some claims have recently been made, however, to the effect that the WMAP relic abundance constraint can be satisfied in the hyperbolic branch of the allowed SUSY parameter space, even though the neutralino is then primarily a higgsino [33]. We will not restrict ourselves to supersymmetry and we will adopt the optimistic view that the detection rates due to the spin may be large enough to be exploited by the experiments, see, e.g., [30,34,35] . Such a view is further encouraged by the fact that, unlike the scalar interaction, the axial current allows one to populate excited nuclear states, provided that their energies are sufficiently low so that they are accessible by the low energy LSP, a prospect proposed long time ago [36] and considered in some detail by Ejiri and collaborators [37].…”