Effects of the three-body force in three-nucleon systems

Oryu, Shinsho; Yamada, Hiroshi

doi:10.1103/physrevc.49.2337

Cited by 6 publications

(2 citation statements)

References 42 publications

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“…This procedure is consistent with the formalism developed in Ref. [19] to include irreducible pionic effects in the 3N dynamics, and at the same time it corresponds to the established perturbative procedure to include 3N F effects in the separable AGS equation [30].…”

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confidence: 70%

One-pion-exchange three-nucleon force and theAypuzzle

Canton

Schadow²

2001

Phys. Rev. C

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We consider a new three-nucleon force generated by the exchange of one pion in the presence of a 2N correlation. The underlying irreducible diagram has been recently suggested by the authors as a possible candidate to explain the puzzle of the vector analyzing powers Ay and iT11 for nucleon-deuteron scattering. Herein, we have calculated the elastic neutron-deuteron differential cross section, Ay, iT11, T20, T21, and T22 below break-up threshold by accurately solving the AltGrassberger-Sandhas equations with realistic interactions. We have also studied how Ay evolves below 30 MeV. The results indicate that this new 3N F diagram provides one possible additional contribution, with the correct spin-isospin structure, for the explanation of the origin of this puzzle.PACS numbers: 24.70+s, 21.30.Cb, 25.10.+s, 25.40.Dn, 21.45.+v, and 13.75.Cs The A y puzzle (or, more appropriately, the puzzle of the vector analyzing powers) is probably the most famous of the open problems in 3N scattering at low energy. The problem with this observable has been observed quite early at the Tokio & Sendai Conference (Few-Body XI, 1986) [1], since at that time the first reliable Faddeev calculations with realistic 2N potentials were becoming available, thanks in particular to the employment of separable expansion methods which transform the 3N scattering equations of Alt, Grassberger, and Sandhas (AGS) [2] into an effective, multichannel Lippmann-Schwinger equation. This method of calculation has been pushed forward to obtain accurate results particularly by the Graz group [3]. Since then, various alternative methods of solution of the 3N scattering equation have been developed and tested [4], and outstanding progresses have been made in the computational techniques in order to: 1) include three-nucleon forces (3N F ) in the 3N scattering equations [4][5][6]; 2) treat explicitly the ∆ dynamics in the 3N system [7]; 3) provide a combined description of the 3N dynamics with Coulomb, realistic 2N , and phenomenological 3N forces [8].The puzzle was confirmed by these new approaches, and it turned out that the existing 2π-3N F [9-11] provided a too small effect for A y [4,5,8], and not always in the right direction. In absence of new 3N F 's that could explain the puzzle, and since the 3N A y is rather sensitive to the 3 P j N N phase shifts, it was concluded in Ref.[12] (see also references therein) that such phases and the associated N N potentials derived from modern phase-shift analysis must be modified at low energy. These modifications can be achieved without affecting appreciably the 2N data because the low-energy 2N observables cannot resolve the 3 P j phases uniquely due to the Fermi-Yang ambiguities. However, as has been argued in Ref.[13], it is not possible to increase the 3N A y with reasonable changes in the N N potential, hence additional 3N F 's of new structure have to be considered. Recently, an attempt has been made [14] using a purely phenomenological 3N F of spin-orbit type, constructed ad hoc to affect only the tripl...

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supporting

confidence: 70%

One-pion-exchange three-nucleon force and theAypuzzle

Canton

Schadow²

2001

Phys. Rev. C

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“…The Alt-Sandhas-Ziegelmann (ASZ) equation [4,5,7] with a nuclear three-body force [25] has been generalized in [14].…”

Section: Appendix a Proof Of Equation (4)mentioning

confidence: 99%

D(p,p)D elastic scattering with rigorous Coulomb treatment

Hiratsuka

Oryu

Gojuki

2013

J. Phys. G: Nucl. Part. Phys.

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Low-energy D(p,p)D elastic scattering using a rigorous Coulomb treatment in momentum space is considered. The treatment is an extension of an exact two-body Coulomb theory—different from the approximate method which is based on a screened Coulomb potential. In contrast to the latter, the two-body Coulomb potential employed is fully equivalent to the pure Coulomb potential in configuration space. It is shown that the approximation based on the Coulomb half-shell function ensures the reliability of the renormalization method. The difference between the rigorous treatment and the approximate method is demonstrated by numerical results.

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