uc l - th / 9 80 90 40 v 2 2 5 M ay 1 99 9 Relativistic Structure of the Deuteron : 1
نویسندگان
چکیده
Realistic solutions of the spinor-spinor Bethe-Salpeter equation for the deuteron with realistic interaction kernel including the exchange of π, σ, ω, ρ, η and δ mesons, are used to systematically investigate relativistic effects in inclusive quasi-elastic electron-deuteron scattering within the relativistic impulse approximation. Relativistic y-scaling is considered by generalising the non relativistic scaling function to the relativistic case, and it is shown that y-scaling does occur in the usual relativistic scaling variable resulting from the energy conservation in the instant form of dynamics. The present approach of y-scaling is fully covariant, with the deuteron being described by −+ 1 waves. It is demonstrated that if the negative relative energy states 1 P 1 , 3 P 1 are disregarded, the concept of covariant momentum distributions N(p 0 , p), with p 0 = M D /2 − p 2 + m 2 , can be introduced, and that calculations of electro-disintegration cross section in terms of these distributions agree within few percents with the exact calculations which include the 1 P 1 , 3 P 1 states, provided the nucleon three momentum |p| ≤ 1GeV /c; in this momentum range, the asymptotic relativistic scaling function is shown to coincide with the longitudinal covariant momentum distribution.
منابع مشابه
ar X iv : n uc l - th / 9 90 50 50 v 1 2 1 M ay 1 99 9 GAMMA - DEUTERON SCATTERING
We discuss a recent computation of Compton scattering on the deuteron at photon energies of order the pion mass. An interaction kernel is computed in baryon chiral perturbation theory and sewn to phenomenological deuteron wave functions. As an appetizer, we consider a computation of the pion-deuteron scattering length using this method.
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