“…[51]: upward triangles represent data from the T20 measurement of Ref. [53], open circle [54], solid circle [55], open squares [56], downward triangles [57], rightward triangles [52], star [58], solid squares [59], solid diamonds [60].…”
We evaluate the deuteron charge, quadrupole, and magnetic form factors using wave functions obtained from chiral effective theory (χET) when the potential includes one-pion exchange, chiral two-pion exchange, and genuine contact interactions. We study the manner in which the results for form factors behave as the regulator is removed from the χET calculation, and compare co-ordinate-and momentumspace approaches. We show that, for both the LO and NNLO chiral potential, results obtained by imposing boundary conditions in co-ordinate space at r = 0 are equivalent to the Λ → ∞ limit of momentum-space calculations. The regulator-independent predictions for deuteron form factors that result from taking the Λ → ∞ limit using the LO χET potential are in reasonable agreement with data up to momentum transfers of order 600 MeV, provided that phenomenological information for nucleon structure is employed. In this range the use of the NNLO χET potential results in only small changes to the LO predictions, and it improves the description of the zero of the charge form factor. PACS. 12.39.Fe Chiral Lagrangians -25.30.Bf Elastic electron scattering -21.45.+v Few-body systems
“…[51]: upward triangles represent data from the T20 measurement of Ref. [53], open circle [54], solid circle [55], open squares [56], downward triangles [57], rightward triangles [52], star [58], solid squares [59], solid diamonds [60].…”
We evaluate the deuteron charge, quadrupole, and magnetic form factors using wave functions obtained from chiral effective theory (χET) when the potential includes one-pion exchange, chiral two-pion exchange, and genuine contact interactions. We study the manner in which the results for form factors behave as the regulator is removed from the χET calculation, and compare co-ordinate-and momentumspace approaches. We show that, for both the LO and NNLO chiral potential, results obtained by imposing boundary conditions in co-ordinate space at r = 0 are equivalent to the Λ → ∞ limit of momentum-space calculations. The regulator-independent predictions for deuteron form factors that result from taking the Λ → ∞ limit using the LO χET potential are in reasonable agreement with data up to momentum transfers of order 600 MeV, provided that phenomenological information for nucleon structure is employed. In this range the use of the NNLO χET potential results in only small changes to the LO predictions, and it improves the description of the zero of the charge form factor. PACS. 12.39.Fe Chiral Lagrangians -25.30.Bf Elastic electron scattering -21.45.+v Few-body systems
“…Up to recently the study of the form factors in general was limited to the A(q) and B(q) structure functions. With the polarization data that became available during the last years [126,127,128,116,130], one also can perform an analysis of the world data in terms of the form factors F C0 (q), F M 1 (q), F C2 (q). The tensor polarization observables give a handle to separate the contributions of C0 and C2.…”
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.
Abstract. Experimental form factors of the hydrogen and helium isotopes, extracted from an up-to-date global analysis of cross sections and polarization observables measured in elastic electron scattering from these systems, are compared to predictions obtained in three different theoretical approaches: the first is based on realistic interactions and currents, including relativistic corrections (labeled as the conventional approach); the second relies on a chiral effective field theory description of the strong and electromagnetic interactions in nuclei (labeled χEFT); the third utilizes a fully relativistic treatment of nuclear dynamics as implemented in the covariant spectator theory (labeled CST). For momentum transfers below Q 5 fm −1 there is satisfactory agreement between experimental data and theoretical results in all three approaches. However, at Q 5 fm −1 , particularly in the case of the deuteron, a relativistic treatment of the dynamics, as is done in the CST, is necessary. The experimental data on the deuteron A structure function extend to Q ≃ 12 fm −1 , and the close agreement between these data and the CST results suggests that, even in this extreme kinematical regime, there is no evidence for new effects coming from quark and gluon degrees of freedom at short distances.
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