Proton-proton bremsstrahlung and the off-shell behavior of the NN interaction

Herrmann, Volker; Nakayama, Koichi; Scholten, Olaf; Arellano, H. F.

doi:10.1016/0375-9474(94)00474-2

Cited by 28 publications

(34 citation statements)

References 44 publications

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“…Among those models, the most recent and sophisticated ones that have been used in the analysis of the high-precision KVI data [1,2] are the microscopic meson-exchange models of Refs. [10][11][12]. There are also a number of other microscopic model calculations throughout the 1990s [13][14][15][16][17][18][19][20][21], which are dynamically similar to Refs.…”

Section: Introductionmentioning

confidence: 59%

“…The last diagram, D µ , as given in Eq. (12), subsumes all possible completely transverse contributions [cf. Eq.…”

Section: A Full Four-dimensional Formalismmentioning

confidence: 99%

“…The box-graph contribution shown in Fig. 4(a), that appears as a subtraction in (12), cannot be reduced in the form…”

Section: Covariant Three-dimensional Reductionmentioning

confidence: 99%

“…We mention that in the present work, we follow the convention of Ref. [1,2] for assigning the nucleon angles θ 1 and θ 2 which is just opposite to the one adopted in other studies [12,16,18]. Also, no arbitrary normalization factor of 2/3 to the data points [26] is applied here.…”

Section: Applicationsmentioning

confidence: 99%

“…There are also a number of other microscopic model calculations throughout the 1990s [13][14][15][16][17][18][19][20][21], which are dynamically similar to Refs. [10][11][12], addressing a variety of issues in the N N bremsstrahlung process. All these models satisfy current conservation (at least in the soft-photon approximation), 1 but none of them obey the more general gauge-invariance condition in terms of the generalized Ward-Takahashi identity (WTI) employed in Ref.…”

Section: Introductionmentioning

confidence: 99%

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Gauge-invariant formulation ofNN→NNγ

Haberzettl

Nakayama

2012

Phys. Rev. C

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A complete, rigorous relativistic field-theory formulation of the nucleon-nucleon (N N ) bremsstrahlung reaction is presented. The resulting amplitude is unitary as a matter of course and it is gauge invariant, i.e., it satisfies a generalized Ward-Takahashi identity. The novel feature of this approach is the consistent microscopic implementation of local gauge invariance across all interaction mechanisms of the hadronic systems, thus serving as a constraint for all subprocesses. The formalism is quite readily adapted to approximations and thus can be applied even in cases where the microscopic dynamical structure of the underlying interacting hadronic systems is either not known in detail or too complex to be treated in detail. We point out how the interaction currents resulting from the photon being attached to nucleon-nucleon-meson vertices can be treated by phenomenological four-point contact currents that preserve gauge invariance. In an advance application of the present formalism [K. Nakayama and H. Haberzettl, Phys. Rev. C 80, 051001 (2009)], such interaction currents were found to contribute significantly in explaining experimental data. In addition, we provide a scheme that permits -through an introduction of phenomenological five-point contact currents -the approximate treatment of current contributions resulting from pieces of the N N interaction that cannot be incorporated exactly. In each case, the approximation procedure ensures gauge invariance of the entire bremsstrahlung amplitude. We also discuss the necessary modifications when taking into account baryonic states other than the nucleon N ; in detail, we consider the ∆(1232) resonance by incorporating the couplings of the N N to the N ∆ and ∆∆ systems, and the γN → ∆ transitions. We apply the formalism to the 280-MeV bremsstrahlung data from TRIUMF [Phys. Rev. D 41, 2689(1990] incorporating γN ∆ transition currents and find good agreement with the data.

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Section: Introductionmentioning

confidence: 59%

“…The last diagram, D µ , as given in Eq. (12), subsumes all possible completely transverse contributions [cf. Eq.…”

Section: A Full Four-dimensional Formalismmentioning

confidence: 99%

“…The box-graph contribution shown in Fig. 4(a), that appears as a subtraction in (12), cannot be reduced in the form…”

Section: Covariant Three-dimensional Reductionmentioning

confidence: 99%

Section: Applicationsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

Gauge-invariant formulation ofNN→NNγ

Haberzettl

Nakayama

2012

Phys. Rev. C

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Relativistic Analysis of Proton-Proton Bremsstrahlung

Tjon

2003

Nuclear Dynamics: From Quarks to Nuclei

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The influence of negative-energy states on proton-proton bremsstrahlung

Jong

Nakayama

1996

Physics Letters B

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We investigate the effect of negative-energy states on proton-proton bremsstrahlung using a manifestly covariant amplitude based on a T-matrix constructed in a spectator model. We show that there is a large cancellation among the zeroth-order, single- and double-scattering diagrams involving negative-energy nucleonic currents. We thus conclude that it is essential to include all these diagrams when studying effects of negative-energy states.Comment: 12 pages revtex and 3 figure

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Proton-proton bremsstrahlung and the off-shell behavior of the NN interaction

Cited by 28 publications

References 44 publications

Gauge-invariant formulation ofNN→NNγ

Gauge-invariant formulation ofNN→NNγ

Relativistic Analysis of Proton-Proton Bremsstrahlung

The influence of negative-energy states on proton-proton bremsstrahlung

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