Electric polarizability of the deuteron

Friar, J. L.; Fallieros, S.; Tomusiak, E.L.; Skopik, D. M.; Fuller, E. G.

doi:10.1103/physrevc.27.1364

Cited by 35 publications

(36 citation statements)

References 7 publications

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“…It was determined through elastic scattering of deuterons from 208 P b well below the Coulomb barrier [56] and extracted from low energy photoabsorption [57]. The two results are slightly incompatible (2σ difference).…”

Section: Electric Polarizabilitymentioning

confidence: 99%

The Deuteron: Structure and Form Factors

Garçon

Orden

2001

Advances in the Physics of Particles and Nuclei

176

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Section: Electric Polarizabilitymentioning

confidence: 99%

The Deuteron: Structure and Form Factors

Garçon

Orden

2001

Advances in the Physics of Particles and Nuclei

176

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“…These uncertainties do not include uncertainties in the MEC, which are possibly 1-2% of the total result (this is subjective); the latter is reflected in the second error (21). This polarization contribution is nonnegligible only because µ v = 4.7; a more "normal" size ∼1 would reduce the contribution by a factor of ∼25.…”

Section: Numerical Calculationsmentioning

confidence: 99%

“…For the deuteron, one impulse-approximation calculation of β M exists [21] with a value of 0.065 fm 3 . This is dominated by 1 The logarithmic mean-excitation energies are calculated using a trick [25].…”

Section: Numerical Calculationsmentioning

confidence: 99%

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Higher-order nuclear-polarizability corrections in atomic hydrogen

Friar

Payne

1997

Phys. Rev. C

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Nuclear-polarizability corrections that go beyond unretarded-dipole approximation are calculated analytically for hydrogenic (atomic) S-states. These retardation corrections are evaluated numerically for deuterium and contribute -0.68 kHz, for a total polarization correction of 18.58(7) kHz. Our results are in agreement with one previous numerical calculation, and the retardation corrections completely account for the difference between two previous calculations. The uncertainty in the deuterium polarizability correction is substantially reduced. At the level of 0.01 kHz for deuterium, only three primary nuclear observables contribute: the electric polarizability, α E , the paramagnetic susceptibility, β M , and the third Zemach moment, r 3 (2) . Cartesian multipole decomposition of the virtual Compton amplitude and its concomitant gauge sum rules are used in the analysis.

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“…To my knowledge, deuteron is the only nucleus for which theoretical predictions of β nucl M exist, calculated in EFT [19] and potential model [20] approaches, summarized as β d M = 0.072(5) fm 3 . One can now check, how important the neglected terms are numerically.…”

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confidence: 99%

New Sum Rule for the Nuclear Magnetic Polarizability

Gorchtein

2015

Phys. Rev. Lett.

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I extend the well-known photonuclear sum rule that relates the strength of the photoexcitation of the giant dipole resonance in a nucleus to the number of elementary scatterers-nucleons to the case of virtual photons. The new sum rule relates the size of the magnetic polarizability of a nucleus to the slope of the transverse virtual photoabsorption cross section integrated over the energy in the nuclear range. I check this sum rule for the deuteron where necessary data is available, discuss possible applications and connection with other sum rules postulated in the literature.PACS numbers: 11.55. Hx, 25.20.Dc, 25.30.Fj, 13.60.Fz Keywords: dispersion relations, Compton scattering, sum rules Scattering of light off a composite object has long been used to study its structure. At low frequencies, electromagnetic waves scatter without absorption and solely probe its mass and electric charge, the classical Thomson result. With the photon energy raising above the absorption threshold internal structure is revealed. Kramers and Kronig related the photoabsorption spectrum of a material to its index of refraction by means of a dispersion relation [1, 2] based on the probability conservation and causality. Dispersion relations and sum rules have been among the main tools for studying the electromagnetic interactions in atomic, nuclear and hadronic physics domains. These domains roughly correspond to keV, MeV and GeV photon energies, respectively, and this scale hierarchy indicates that dynamics in each domain can be clearly identified. Thomas-Reiche-Kuhn sum rule equated the sum of oscillator strengths in an atom to the number of electrons [3][4][5]. For nuclei, Levinger-Bethe [6] and Gell-Mann, Goldberger and Thirring [7] related the integrated photoabsorption cross section to the number of elementary scatterers, protons and neutrons in a nucleus. For GeV energy photons that resolve the nucleon structure, Gorchtein, Hobbs, Londergan and Szczepaniak [8] observed that the integrated strength of the nucleon resonances may be explained by counting the constituent quarks. These sum rules are an economic, albeit approximate way to express duality, the transcendence of higher energy degrees of freedom in the low-energy phenomena [9]. In this letter I extend the Thomas-Reiche-KuhnLevinger-Bethe sum rule to the case of virtual photons, obtain a sum rule for the nuclear magnetic polarizability, and discuss further applications.The spin-averaged, forward Compton tensor T µν is expressed in terms of two scalar amplitudes T 1,2 (ν, Q 2 ),with the invariants defined in terms of the nucleus and photon four-momenta p, q as ν = (p · q)/M T , Q 2 = −q µ q µ = −q 2 ≥ 0, and p 2 = M 2 T , with M T the target nucleus mass. In this letter I concentrate on the transverse amplitude T 1 . Its imaginary parts is related to the unpolarized structure function F 1 as ImT 1 = (πα em /M T )F 1 , with α em ≈ 1/137 the fine structure constant. T 1 satisfies a once subtracted dispersion relation (DR),where the integral is understood in terms of its princ...

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Electric polarizability of the deuteron

Cited by 35 publications

References 7 publications

The Deuteron: Structure and Form Factors

The Deuteron: Structure and Form Factors

Higher-order nuclear-polarizability corrections in atomic hydrogen

New Sum Rule for the Nuclear Magnetic Polarizability

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