Deuteron Compton scattering

Weyrauch, M.

doi:10.1103/physrevc.41.880

Cited by 11 publications

(22 citation statements)

References 15 publications

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“…This idea seems to have been originally suggested by Baldin [15], who calculated the cross-section in the impulse approximation. A more extensive calculation was undertaken by Weyrauch [42,43], but certain deficiencies to be discussed below, as well as a lack of emphasis on the neutron polarizability, suggest that this question can be reexamined.…”

Section: A Background and Motivationmentioning

confidence: 99%

Neutron polarizabilities from Compton scattering on the deuteron?

Karakowski

Miller

1999

Phys. Rev. C

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A calculation of deuteron Compton scattering using non-relativistic perturbation theory is presented, with the primary motivation of investigating the feasibility of determining the neutron polarizabilities from this type of experiment. This calculation is expected to be valid for energies below 100 MeV. Pion-exchange, relativistic, and recoil corrections are also included. The lowenergy theorem for gauge invariance is shown to be satisfied. The relative effects of the different terms and their effects on the determinations of the polarizabilities are discussed at energies of 49, 69, and 95 MeV. The cross-section is dominated by the seagull, polarizability, and electromagnetic multipole interactions. Relativistic and pion-exchange terms are also important, while recoil corrections and multipoles of L=2 and greater are negligible. The calculation provides a reasonable description of the experimental data points at 49 and 69 MeV. The polarizabilities are difficult to determine at these energies. A more accurate determination of the polarizabilities may be possible at 95 MeV.

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Section: A Background and Motivationmentioning

confidence: 99%

Neutron polarizabilities from Compton scattering on the deuteron?

Karakowski

Miller

1999

Phys. Rev. C

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“…This is not a new idea and has fervently been advocated by Levchuk and L'vov, by Weyrauch, and by Arenhövel, Wilhelm and Wilbois, most recently in Refs. [8,9,10]; for its history see Ref. [11] and references therein.…”

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confidence: 99%

Nucleon polarisabilities from Compton scattering on the deuteron

Grießhammer

Rupak

2002

Physics Letters B

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An analytic calculation of the differential cross section for elastic Compton scattering on the deuteron at photon energies ω in the range of 25 − 50 MeV is presented to next-to-next-to-leading order, i.e. to an accuracy of ∼ 3%. The calculation is model-independent and performed in the low energy nuclear Effective Field Theory without dynamical pions. The iso-scalar, scalar electric and magnetic nucleon polarisabilities α 0 and β 0 enter as free parameters with a theoretical uncertainty of about 20%. Using data at ω Lab = 49 MeV we find α 0 = 8.4 ± 3.0(exp) ± 1.7(theor), β 0 = 8.9 ± 3.9(exp) ± 1.8(theor), each in units of 10 −4 fm 3 . With the experimental constraint for the iso-scalar Baldin sum rule, α 0 = 7.2 ± 2.1(exp) ± 1.6(theor), β 0 = 6.9 ∓ 2.1(exp) ∓ 1.6(theor). A more accurate result can be achieved by: (i) better experimental data, and (ii) a higher order theoretical calculation including contributions from a couple of so far undetermined four-nucleon-two-photon operators.

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“…It is also interesting to compare our results with those from potential model calculations [32,33]. In Fig.…”

Section: )mentioning

confidence: 67%

“…(2.8) F 2 and G 2 are related to the form factors P 2(E1, E1) and P 2(M1, M1) defined in [32,33] by a normalization factor. At LO, F 2 and G 2 vanish,…”

Section: Tensor Polarized γ-Deuteron Compton Scatteringmentioning

confidence: 99%

“…Theoretically, four vector form factors (corresponding to the ∆J = 1 interaction of the deuteron field) and six tensor form factors (corresponding to ∆J = 2) are identified in [32,33] with the lower multipole contributions calculated using dispersion relations and potential models. In this paper, we perform an analytic calculation of the differential cross section of the tensor polarized γ-deuteron Compton scattering cross section to first nonvanishing order in the effective field theory expansion.…”

Section: Introductionmentioning

confidence: 99%

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Tensor polarized γ-deuteron Compton scattering in effective field theory

Chen¹

1999

Nuclear Physics A

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The differential cross section for γ-deuteron Compton scattering from a tensor polarized deuteron is computed in an effective field theory. The first non-vanishing contributions to this differential cross section are the interference terms between the leading electric coupling diagrams and the subleading single potential pion exchange diagrams or the subleading magnetic moment coupling diagrams. At 90 • photon scattering angle, only the pion term contributes at this order to the tensor polarized differential cross section. This provides a clean way to study the photon pion dynamics in the two nucleon sector. The effect is measurable for photon energies between 40 and 80 MeV provided the uncertainty in the measured cross sections are <

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Deuteron Compton scattering

Cited by 11 publications

References 15 publications

Neutron polarizabilities from Compton scattering on the deuteron?

Neutron polarizabilities from Compton scattering on the deuteron?

Nucleon polarisabilities from Compton scattering on the deuteron

Tensor polarized γ-deuteron Compton scattering in effective field theory

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