Field-Theoretical Nucleon-Nucleon Potential

Partovi, M. Hossein; Lomon, Earle L.

doi:10.1103/physrevd.2.1999

Cited by 174 publications

(83 citation statements)

References 54 publications

Supporting

Mentioning

Contrasting

Unclassified

Order By: Relevance

“…Note that energy dependence would be allowed if the cut-off was kept finite, and still the requirement of orthogonality in the whole space could be fulfilled for an interaction characterized by a non-local and energy independent potential in the inner region. This simultaneous disregard of both non-local and energy dependent effects was advocated long ago by Partovi and Lomon [6] on physical grounds, and as we see, it is a natural consequence within the renormalization approach. The renormalization procedure is then conceptually simple since any energy state with given quantum numbers can be chosen as a reference state to determine the rest of the bound state spectrum and scattering states.…”

Section: Boundary Condition Renormalization and Ultraviolet Complmentioning

confidence: 95%

“…It represents the natural generalization of the One Pion Exchange (OPE) potential proposed by Yukawa [1], and also the scalar meson potential introduced by Johnson and Teller [2]. With the advent of vector mesons these degrees of freedom were included as well [3,4,5,6]. Actually, Regge theory yields such a potential within a suitable approximation [7].…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Renormalization versus strong form factors for one-boson-exchange potentials

Cordón

Arriola

2010

Phys. Rev. C

View full text Add to dashboard Cite

We analyze the One Boson Exchange Potential from the point of view of Renormalization theory. We show that the nucleon-meson Lagrangean while predicting the NN force does not predict the NN scattering matrix nor the deuteron properties unambiguously due to the appearance of short distance singularities. While the problem has traditionally been circumvented by introducing vertex functions via phenomenological strong form factors, we propose to impose physical renormalization conditions on the scattering amplitude at low energies. Working in the large Nc approximation with π,σ,ρ and ω mesons we show that, once these conditions are applied, results for low energy phases of proton-neutron scattering as well as deuteron properties become largely insensitive to the form factors and to the vector mesons yielding reasonable agreement with the data and for realistic values of the coupling constants.

show abstract

Section: Boundary Condition Renormalization and Ultraviolet Complmentioning

confidence: 95%

Section: Introductionmentioning

confidence: 99%

Renormalization versus strong form factors for one-boson-exchange potentials

Cordón

Arriola

2010

Phys. Rev. C

View full text Add to dashboard Cite

show abstract

“…The relationship between the potential V and Feynman diagrams is summarized by the following Lippmann-Schwinger-Quasipotential type [10,11,12,13,14,15,16,17,8,18] equation :…”

Section: The Covariant Breit Equationmentioning

confidence: 99%

How to obtain a covariant Breit type equation from relativistic constraint theory

Mourad¹,

Sazdjian²

1995

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

View full text Add to dashboard Cite

show abstract

“…The main part of the two-pion exchange interaction K ππ is a central interaction with weak flavor dependence (cf. [12,16]), which naturally is incorporated into the effective confining interaction between quarks. Similarly the two-gluon exchange interaction is flavor independent, and naturally incorporated into the confining interaction.…”

Section: Definition Of the π−Gluon Exchange Interactionmentioning

confidence: 99%

π−gluon exchange interaction between constituent quarks

Helminen

Riska

1998

Phys. Rev. C

View full text Add to dashboard Cite

The interaction mediated by irreducible pion and gluon exchange between constituent quarks is calculated and shown to have a strong tensor component, which tends to cancel the pion exchange tensor interaction between quarks. Its spin-spin component is somewhat weaker than the pion exchange spin-spin interaction, while its central and spin-orbit components are small in comparison to the corresponding single gluon exchange interactions. The combination of the π−gluon exchange interaction with the single pion exchange interaction and a weak gluon exchange interaction between constituent quarks has the qualitative features required for understanding the hyperfine splittings of the spectra of the nucleon and the ∆ resonances. 0

show abstract

Field-Theoretical Nucleon-Nucleon Potential

Cited by 174 publications

References 54 publications

Renormalization versus strong form factors for one-boson-exchange potentials

Renormalization versus strong form factors for one-boson-exchange potentials

How to obtain a covariant Breit type equation from relativistic constraint theory

π−gluon exchange interaction between constituent quarks

Contact Info

Product

Resources

About