Cross section and polarization in deuteron photodisintegration: General formulas

Deuteron photodisintegration by polarized photons in the region of the d⁎(2380)

“…To quantify the dependence of the asymmetry on photon energy and polar angle we performed an expansion of our results into associated Legendre functions. From a theoretical point of view, it has been suggested to decompose not Σ(Θ, E γ ), but rather σ 1 = Σ(Θ, E γ ) · σ(Θ, E γ ) [33] or even σ 1 /σ tot , where σ tot is the total cross section, to get rid of the s −10 energy dependence of the deuteron photodisintegration cross section. We therefore adopt the σ 1 /σ tot ansatz, employing the differential cross section and total cross section measurements from Ref.…”

General multipole expansion of polarization observables in deuteron electrodisintegration

“…Our result is a generalization to all polarization observables. Furthermore, our expressions are slightly different in their formal appearance, because we have separated explicitly the dependence on the target orientation angles from the angular dependence of the outgoing nucleons according to (9). We would like to point out that the factorization in (42) is a manifestation of two ingredients.…”

“…It is the aim of the present work to derive the multipole expansion of the observables of this reaction, which allows one to represent any observable as an expansion in terms of the small rotation matrices d j m ′ m (θ), whose coefficients are determined uniquely by the electromagnetic transition multipole matrix elements between the deuteron ground state and the various partial waves of the outgoing two nucleon scattering state. Our approach is based on earlier work in deuteron photodisintegration [7] in which the multipole expansions of the unpolarized differential cross section and of the outgoing nucleon polarization without target orientation of [8,9] have been generalized to all possible polarization observables. Analogous techniques have been applied in [10] for the description of polarization effects in (γ, N )-reactions on nuclei and in [11] for polarization observables in coincidence electron scattering from nuclei.…”

Photodisintegration of the deuteron with polarized photons from LEGS

“…(3). The error in the reconstruction of the Y~ray energy is given by (4) Typical values for the terms in this equation are listed in Table I, At high energies, where the y ray is defined by its tagged electron, this would represent a very stringent overdetermination of the kinematics.…”