Δ-isobar contributions to the charge asymmetry of the three-nucleon bound states

Baier, H.; Bentz, Wolfgang; Hajduk, Ch.; Sauer, P.U.

doi:10.1016/0375-9474(82)90031-8

Cited by 15 publications

(2 citation statements)

References 13 publications

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“…If the Coulomb interaction is taken into account, as proper for 3 He, the binding energies shift to -7.033 MeV and -6.716 MeV; the e.m. shifts are calculated perturbatively in ref. [20], amounting to 669 keV for a coupled-channel potential with ∆-isobar excitation and to 657 keV for the purely nucleonic reference potential. Nevertheless, we use the purely hadronic values -7.702 MeV and -7.373 MeV as model values for calculating the matrix elements (2.11b) and (2.14a) of the considered photo reactions, since the calculation leaves out e.m. effects in the hadronic wave functions.…”

Section: Resultsmentioning

confidence: 99%

Trinucleon Photo-Reactions with Δ-Isobar Excitation: Radiative Nucleon-Deuteron Capture and Two-Body Photo-Disintegration of the Three-Nucleon Bound State

et al. 2002

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Abstract. Radiative nucleon-deuteron capture and photo disintegration of the three-nucleon bound state with two-body final states are described. The description uses nucleon degrees of freedom extended to include the excitation of a single nucleon to a ∆-isobar. The baryonic interaction and the electromagnetic current couple nucleonic states and states with a ∆-isobar. Exact solutions of three-particle scattering equations are employed for the initial or final states of the reactions. The current has one-baryon and two-baryon contributions. The role of the ∆-isobar in the description of the considered photo reactions is discussed and found to be moderate. The spin observables Ayy and T20 at 90• lab scattering angle can be calculated model-independently from the E1 Siegert term in the long-wavelength limit.

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Section: Resultsmentioning

confidence: 99%

Trinucleon Photo-Reactions with Δ-Isobar Excitation: Radiative Nucleon-Deuteron Capture and Two-Body Photo-Disintegration of the Three-Nucleon Bound State

et al. 2002

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“…In the literature various calculations can be found, based on the corrections due to two pion exchange potential 13 , to the p -u mixing 14~18 and to the difference in mass between the intermediate isobar excited states 19 . Therefore it appears that a quantitative theoretical treatment of the isospin symmetry violation in this range of the interaction not only 'still escapes us', as Henley admits 12 , but is likely to continue to elude us unless a more fundamental treatment of the interaction is developed.…”

Section: Isospin In the Context Of Meson Theoriesmentioning

confidence: 99%

Precision test of charge independence of hadronic interactions

Artuso¹

1986

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This report was prepared as an account of work sponsored by an agency of the United States Government. Neither ihe United States Government nor any agency thereof, nor any of their employees, makes any warranty, express or implied, or assumes any legal liability or responsibility for the accuracy, completeness, or usefulness of any information, apparatus product, or process disclosed, or represents that its use would no' infringe privately owned rights. Reference herein to any specific commercial product, process or service by trade name, trademark, manufacturer, or otherwise does not necessarily constitute or imply us endorsement, recommendation, or favoring by the United States Government or any agency thereof. The views and opinions of authors expressed herein do not necessarily slate or reflect those of the United Sta'es Government or any agency thereof.

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Many-nucleon forces and currents derived from the explicit treatment of Δ-isobar and pion degrees of freedom

Sauer

The Three-Body Force in the Three-Nucleon System

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The nucleon is a composite system with quark-gluon substructure determined by quantum chromodynamics.A description of the nucleus in terms of quark-gluon Constituents would avoid the concept of two-, three-, or many-nucleon forces entirely.If one views the nucleus --in one of the more traditional models --as a system of nucleons, isobars, their corresponding antiparticles and mesons, one encounters interactions in the form of baryon-meson vertices, but again there are no two-three-~ or many-nucleon forces. Two-, three-, or many-nucleon forces are not created by nature as truly fundamental interactions. They arise when subnucleonic and mesonic degrees of freedom are frozen in a theoretical description of nuclear dynamics i.They are an artifact of theoreticians, who choose to work in a restricted Hilbert space.Clearly not all degrees of freedom can be taken into account in a practical calculation. Our approach 2 to the three-nucleon force picks out the A-isobar and the pion as those nonnucleonic degrees of freedom most important at low and at intermediate energies, and treats them explicitly together with the nucleon. The approach is noncovariant. The Hilbert space considered is motivated by the reaction cross section for two-nucleon scattering as shown in fig. I. The Hilbert space is shown in fig. 2 for the three-nucleon system. It is more complicated than a purely nucleonic one. However, it is hoped that the Hamiltonian required for the description of the nuclear dynamics remains simpler in the extended Hilbert space than in the one with nucleons only. An example of this fact is given in fig. 3.Projecting the Hamiltonian and the corresponding electromagnetic (e.m.) and weakCurrents onto the nucleonic sector of the Hilbert space yields effective manynucleon forces and currents. Conversely as shown in fig, 3, some contributions to many-nucleon forces and currents can be resolved into simpler processes in an extended Hilhert space with nonnucleonic degrees of freedom.

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Δ-isobar contributions to the charge asymmetry of the three-nucleon bound states

Cited by 15 publications

References 13 publications

Trinucleon Photo-Reactions with Δ-Isobar Excitation: Radiative Nucleon-Deuteron Capture and Two-Body Photo-Disintegration of the Three-Nucleon Bound State

Trinucleon Photo-Reactions with Δ-Isobar Excitation: Radiative Nucleon-Deuteron Capture and Two-Body Photo-Disintegration of the Three-Nucleon Bound State

Precision test of charge independence of hadronic interactions

Many-nucleon forces and currents derived from the explicit treatment of Δ-isobar and pion degrees of freedom

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