The Drell-Hearn-Gerasimov and Bjorken sum rules are special examples of dispersive sum rules for the spin-dependent structure function G1(ν,Q 2) at Q2 = 0 and ∞. We generalize these sum rules through studying the virtualphoton Compton amplitudes S1(ν,Q 2) and S2(ν,Q 2). At small Q2, we calculate the Compton amplitudes at leading-order in chiral perturbation theory; the resulting sum rules can b...

An m-cover of the Hermitian surface H(3, q2) of PG(3, q2) is a set S of lines of H(3, q2) such that every point of H(3, q2) lies on exactly m lines of S, and 0 < m < q + 1. Segre (1965) proved that if q is odd, then m = (q + 1)/2, and called such a set S of lines a hemisystem. Penttila and Williford (2011) introduced the notion of a relative hemisystem: a set of lines R of H(3, q2), q even, dis...

The nucleon electromagnetic form factors encode information about their complex internal structure. At low Q2 the form factors probe the peripheral structure of the nucleon and are related to the charge and magnetization distributions and radii. Several experiments at JLab have probed the low Q2 form factors, producing a wealth of data. In particular, new, very precise measurements of the proto...

Using some geometry of quadrics permutable with a Hermitian surface H(3, q2) of PG(3, q2), q odd, a class of ovoids of H(3, q2) admitting the group PGL(2, q) is constructed.

We are proposing to search for two possible QCD phenomena, Point Like Configurations (PLC) in the proton wave function, and modification of (deeply bound) nucleons involved in Short Range Correlations. We will use the exclusive d(e, e′p)n reaction, which is the most understood nucleon knockout reaction. This search will be an extension of the CLAS e6 experiment, which found no evidence for PLC ...

In this note we investigate the minimum possible volumes for strong Steiner trades (SST). We prove that a (v, q + 1,2) SST must have at least q2 blocks if q is even and q2 + q blocks if q is odd. We construct a (v, q+ 1, 2) SST of volume q2 for every q a power of two, and a (v, q+ 1, 2) SST of volume q2 + q, for every q such that q + 1 is a power of two. A construction of (q2 + q + 1, q + 1,2) ...

Let GP (q2,m) be the m-Paley graph defined on finite field with order q2. We study eigenfunctions and maximal cliques in generalised Paley graphs (q2,m), where m|(q+1). In particular, we explicitly construct of size q+1m or q+1m+1 show weight-distribution bound cardinality support an eigenfunction is tight for smallest eigenvalue −q+1m (q2,m). These new results extend work Baker et al. Goryaino...

We classify all simple supermodules over the queer Lie superalgebra q2 up to classification of equivalence classes of irreducible elements in a certain Euclidean ring.

Symbolic reasoning about continuous dynamic systems requires consistent qualitative abstraction functions and a consistent symbolic model. Classically, symbolic reasoning systems have utilized a box partition of the system space to achieve qualitative abstraction, but boxes can not provide a consistent abstraction. Our Q2 methodology abstracts a provably consistent symbolic representation of no...