4^-states of¹⁶O in the region of 19 MeV excitation

Jacobi evolution of structure functions: convergence and stability

“…These are independent of Q 2 in LO QCD, but this is only guaranteed by (4) if the series has converged. Barker, Langensiepen and Shaw [2] checked this property in their LO fits and found that with N = 10 it was satisfied over the range 2 ≤ Q 2 ≤ 200 GeV 2 to within an accuracy of 10 −3 . They also checked that the QCD evolution of the higher Cornwall-Norton moments M i (Q 2 ) for i = 15, 20 was accurately reproduced 3 and concluded that truncating at N = 10 was sufficient for all practical purposes over the kinematic range considered.…”

“…In analysing data on nucleon structure functions, it is convenient to have as fast and simple a method of implementing their QCD evolution as possible. For this reason, the Jacobi evolution method [1][2][3] has been adopted in many recent analyses 1 , including applications to polarized [4] and non-forward or off-diagonal [5] parton distributions. However, Ghosh and Raha [6] have made the startling claim that it is unstable due to convergence problems.…”

“…We start by very briefly summarizing the method [1][2][3]. The basic idea is to expand a given structure function ∆(x, Q 2 ) at fixed Q 2 in the form…”

“…1 A SPIRES search reveals more than 30 citations since 1995. 2 We follow the standard notation and conventions of [2], where further mathematical details may be found. so that the "Jacobi moments"…”

The Spectrum of 12C in a Multi-configuration Hartree-Fock Basis

“…These may have been observed in recent electron and pion inelastic scattering studies (Thiessen 1980). In view of the interest in these states in 16 0 in the 18 MeV region vis-a-vis isospin mixing (Barker et al 1981), further study of these states (and the reactions to them) in 12C is planned.…”