DISPERSION RELATIONS FOR THE PHOTODISINTEGRATION OF THE DEUTERON

Journal Article · Sat Sep 01 04:00:00 EDT 1962 · Nuclear Physics (Netherlands) Divided into Nucl. Phys. A and Nucl. Phys. B

DOI:https://doi.org/10.1016/0029-5582(62)90292-4· OSTI ID:4761725

Donnachie, A

The calculation of the matrix element for deuteron photodisintegration is considered. There are twelve invariant amplitudes. The covariant form of the transition amplitude is related to the non-covariant (Pauli-matrix) form, which is further related to the individual multipole transition amplitudes. The Born terms of the covariant amplitudes are derived, and the dispersion relations written down in energy for a ftxed difference in the photon-proton and photon- neutron momentum transfers. It is necessary to use this form rather than a fixed momentum transfer, in order to exhibit explicitly all the poles in the dispersion relations. The dispersion relations are restricted to dipole and quadrupole transitions, and by considering the relations at two different momentum transfers, equations are obtained explicitiy for the individual electric dipole and magnetic dipole spin-flip transition amplitudes. The equations are solved in a low-energy approximation, in which the final n-p state rescattering cut and single-pion exchange cut only are considered, for the two cases of Gammel-Thaler and Signell-Marshak phase shifts. The resulits obtained are compared with experiment. (auth)

• Research Organization: Glasgow Univ.
• NSA Number: NSA-17-002178
• OSTI ID: 4761725
• Journal Information: Nuclear Physics (Netherlands) Divided into Nucl. Phys. A and Nucl. Phys. B, Journal Name: Nuclear Physics (Netherlands) Divided into Nucl. Phys. A and Nucl. Phys. B Vol. Vol: 37; ISSN NUPHA
• Country of Publication: Country unknown/Code not available
• Language: English

Related Subjects

BORN APPROXIMATION
DEUTERONS
DIFFERENTIAL EQUATIONS
DISPERSION THEORY
ELECTRIC MOMENTS
ENERGY
GAMMEL-THALER POTENTIAL
MAGNETIC MOMENTS
MATRICES
MOMENTUM
MULTIPOLES
NEUTRONS
NUMERICALS
OPE MODEL
PARTICLE MODELS
PAULI SPIN OPERATORS
PERTURBATION THEORY
PHOTOFISSION
PHOTONS
PHYSICS
PROTONS
QUANTUM MECHANICS
SCATTERING
SPIN
TRANSIENTS