Relativistic three-particle scattering equations

Adhikari, Sadhan K.; Tomio, Lauro; Frederico, T.

doi:10.1103/physrevc.48.2105

Cited by 3 publications

(15 citation statements)

References 20 publications

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“…Actually, there are a host of such equations. [3,16] In our study, however, at the two-nucleon level we shall only consider the dynamics given by BlS Eq. (2).…”

Section: Dynamical Modelsmentioning

confidence: 99%

“…The three-dimensional relativistic generalization of these Faddeev equations has a form similar to Eq. (8) and is given by [13,14,16] …”

Section: Dynamical Modelsmentioning

confidence: 99%

“…The propagators G B and G D were suggested recently in Ref. [16], G C was suggested long ago. [15] It has been shown [20] that the propagator G D follows from a suggestion by Ahmadzadeh and Tjon.…”

Section: Dynamical Modelsmentioning

confidence: 99%

“…[16], G C was suggested long ago. [15] It has been shown [20] that the propagator G D follows from a suggestion by Ahmadzadeh and Tjon. [15] But in numerical applications of this propagator to the three-nucleon problem unnecessary nonrelativistic approximations have been used which violate conditions of unitarity.…”

Section: Dynamical Modelsmentioning

confidence: 99%

“…[15] But in numerical applications of this propagator to the three-nucleon problem unnecessary nonrelativistic approximations have been used which violate conditions of unitarity. [20] The form (19) obeys three-particle unitarity, but violates time-reversal symmetry.…”

Section: Dynamical Modelsmentioning

confidence: 99%

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Relativistic Three-Particle Dynamical Equations II. Application to the Trinucleon System

Adhikari

Tomio

1994

Annals of Physics

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We calculate the contribution of relativistic dynamics on the neutron-deuteron scattering length and triton binding energy employing five sets trinucleon potential models and four types of three-dimensional relativistic three-body equations suggested in the preceding paper. The relativistic correction to binding energy may vary a lot and even change sign depending on the relativistic formulation employed.The deviations of these observables from those obtained in nonrelativistic models follow the general universal trend of deviations introduced by off-and on-shell variations of two-and three-nucleon potentials in a nonrelativistic model calculation.Consequently, it will be difficult to separate unambiguously the effect of off-and on-shell variations of two-and three-nucleon potentials on low-energy three-nucleon observables from the effect of relativistic dynamics.

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“…Actually, there are a host of such equations. [3,16] In our study, however, at the two-nucleon level we shall only consider the dynamics given by BlS Eq. (2).…”

Section: Dynamical Modelsmentioning

confidence: 99%

“…The three-dimensional relativistic generalization of these Faddeev equations has a form similar to Eq. (8) and is given by [13,14,16] …”

Section: Dynamical Modelsmentioning

confidence: 99%

Section: Dynamical Modelsmentioning

confidence: 99%

Section: Dynamical Modelsmentioning

confidence: 99%

Section: Dynamical Modelsmentioning

confidence: 99%

See 3 more Smart Citations

Relativistic Three-Particle Dynamical Equations II. Application to the Trinucleon System

Adhikari

Tomio

1994

Annals of Physics

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Relativistic effect on low-energy nucleon-deuteron scattering

Adhikari

Tomio

1995

Phys. Rev. C

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The relativistic effect on differential cross sections, nucleon-to-nucleon and nucleonto-deuteron polarization transfer coefficients, and the spin correlation function, of nucleon-deuteron elastic scattering is investigated employing several three-dimensional relativistic three-body equations and several nucleon-nucleon potentials. The polarization transfer coefficients are found to be sensitive to the details of the nucleon-nucleon potentials and the relativistic dynamics employed, and prefer trinucleon models with the correct triton binding energy.(

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Cross section and complete set of proton spin observables inp→delastic scattering at 250 MeV

et al. 2002

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The angular distributions of the cross section, the proton analyzing power, and all proton polarization transfer coefficients of p ជ d elastic scattering were measured at 250 MeV. The range of center-of-mass angles was 10°-165°for the cross section and the analyzing power, and about 10°-95°for the polarization transfer coefficients. These are the first measurements of a complete set of proton polarization observables for p ជ d elastic scattering at intermediate energies. The present data are compared with theoretical predictions based on exact solutions of the three-nucleon Faddeev equations and modern realistic nucleon-nucleon potentials combined with three-nucleon forces ͑3NF͒, namely, the Tucson-Melbourne ͑TM͒ 2-exchange model, a modification thereof ͑TMЈ͒ closer to chiral symmetry, and the Urbana IX model. Large effects of the three-nucleon forces are predicted. The inclusion of the three-nucleon forces gives a good description of the cross section at angles below the minimum. However, appreciable discrepancies between the data and predictions remain at backward angles. For the spin observables the predictions of the TM 3NF model deviate strongly from the other two 3NF models, which are close together, except for K y yЈ. In the case of the analyzing power all 3NF models fail to describe the data at the upper half of the angular range. In the restricted measured angular range the polarization transfer coefficients are fairly well described by the TMЈ and Urbana IX 3NF models, whereas the TM 3NF model mostly fails. The transfer coefficient K y yЈ is best described by the Urbana IX but the theoretical description is still insufficient to reproduce the experimental data. These results call for a better understanding of the spin structure of the three-nucleon force and very likely for a full relativistic treatment of the three-nucleon continuum.

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Relativistic three-particle scattering equations

Cited by 3 publications

References 20 publications

Relativistic Three-Particle Dynamical Equations II. Application to the Trinucleon System

Relativistic Three-Particle Dynamical Equations II. Application to the Trinucleon System

Relativistic effect on low-energy nucleon-deuteron scattering

Cross section and complete set of proton spin observables inp→delastic scattering at 250 MeV

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