Meson and Quark Degrees of Freedom and the Radius of the Deuteron

Buchmann, A. J.; Henning, H.; Sauer, P.U.

doi:10.1007/s006010050045

Cited by 28 publications

(15 citation statements)

References 34 publications

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“…which gives a numerical value of r 2 d ER = 1.98 fm, very close to the quoted value of the matter radius of the deuteron [51,52] of r m = 1.967 ± 0.002 fm. Conventionally, the charge radius is obtained by combining the nucleon charge radius in quadrature with the matter radius, and agrees very well with the experimental value.…”

Section: B Electric Charge Form-factor Of the Deuteronsupporting

confidence: 86%

Nucleon-nucleon effective field theory without pions

Chen¹,

Rupak²,

Savage³

1999

Nuclear Physics A

345

563

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Nuclear processes involving momenta much below the mass of the pion may be described by an effective field theory in which the pions do not appear as explicit degrees of freedom. The effects of the pion and all other virtual hadrons are reproduced by the coefficients of gauge-invariant local operators involving the nucleon field. Nucleon-nucleon scattering phase shift data constrains many of the coefficients that appear in the effective Lagrangean but at some order in the expansion coefficients enter that must be constrained by other observables. We compute several observables in the two-nucleon sector up to next-to-next-to leading order in the effective field theory without pions, or to the order at which a counterterm involving four-nucleon field operators is encountered. Effective range theory is recovered from the effective field theory up to the order where relativistic corrections enter or where four-nucleonexternal current local operators arise. For the deuteron magnetic moment, quadrupole moment and the np → dγ radiative capture cross section a fournucleon-one-photon counterterm exists at next-to-leading order. The electric polarizability and electric charge form factor of the deuteron are determined up to next-to-next-to-leading order, which includes the first appearance of relativistic corrections.

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Section: B Electric Charge Form-factor Of the Deuteronsupporting

confidence: 86%

Nucleon-nucleon effective field theory without pions

Chen¹,

Rupak²,

Savage³

1999

Nuclear Physics A

345

563

View full text Add to dashboard Cite

show abstract

“…We here quote the analysis of these results by Friar et al [137]. Using for the proton charge rms-radius the standard value of 0.862f m [5], correcting for the small nuclear polarization effect and using, for consistency, for the two-body effects, the value as calculated in [29], we find 2.1316 ± 0.001 f m for the deuteron rms-charge radius.…”

Section: Radiusmentioning

confidence: 70%

“…The Hannover group [29,153,154,155,156] has performed calculations for various N-N potentials (Paris, Bonn-A,B,C,..). For the nucleonic form factors the authors use the Hoehler parameterization.…”

Section: Comparison To Theorymentioning

confidence: 99%

Elastic electron scattering from light nuclei

Sick

2001

Progress in Particle and Nuclear Physics

107

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The charge and magnetic form factors of light nuclei, mainly for mass number A≤4, provide a sensitive test of our understanding of nuclei. A number of "exact" calculations of the wave functions starting from the nucleon-nucleon interaction are available. The treatment of two-body effects needed in the calculation of the electromagnetic form factors has made significant progress. Many electron scattering experiments have provided an extensive data base from which the various (mainly elastic) form factors can be extracted. This review discusses the data and the determination of the form factors, and compares them to the results of theory.

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“…Using r 0 = 1.75 fm effective range theory yields r (ER) m = 1.98 fm. The most recent measurement of the deuteron charge radius is r ch = 2.1303 ± 0.0066 fm from which the matter radius is found to be r m = 1.9685 ± 0.0049 fm [12]. (In effective field theory the effects that distinguish between the matter and charge radius don't arise until NNLO.)…”

Section: Effective Range Theorymentioning

confidence: 99%

Perturbative calculation of the electromagnetic form factors of the deuteron

1999

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Making use of the effective field theory expansion recently developed by the authors, we compute the electromagnetic form factors of the deuteron analytically to next-to-leading order (NLO). The computation is rather simple, and involves calculating several Feynman diagrams, using dimensional regularization. The results agree well with data and indicate that the expansion is converging. They do not suffer from any ambiguities arising from off-shell versus on-shell amplitudes.

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Meson and Quark Degrees of Freedom and the Radius of the Deuteron

Cited by 28 publications

References 34 publications

Nucleon-nucleon effective field theory without pions

Nucleon-nucleon effective field theory without pions

Elastic electron scattering from light nuclei

Perturbative calculation of the electromagnetic form factors of the deuteron

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