[ital NN] core interactions and differential cross sections from one gluon exchange

Journal Article · Sun Aug 01 04:00:00 EDT 1993 · Physical Review, C (Nuclear Physics); (United States)

DOI:https://doi.org/10.1103/PhysRevC.48.539· OSTI ID:6215769

Barnes, T ^[1]; Capstick, S ^[2]; Kovarik, M D ^[3]; Swanson, E S ^[4]

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1. Physics Division and Center for Computationally Intensive Physics, Oak Ridge National Laboratory, Oak Ridge, Tennessee 37831 (United States) Department of Physics, University of Tennesee, Knoxville, Tennessee 37996 (United States)
2. Continuous Electron Beam Accelerator Facility, 12000 Jefferson Avenue, Newport News, Virginia 23606 (United States)
3. Physics Division and Center for Computationally Intensive Physics, Oak Ridge National Laboratory, Oak Ridge, Tennessee 37831 (United States) University of Tennessee Computer Center, University of Tennessee, Knoxville, Tennessee 37996 (United States)
4. Center for Theoretical Physics, Laboratory of Nuclear Science Department of Physics, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139 (United States)

We derive nonstrange baryon-baryon scattering amplitudes in the nonrelativistic quark model using the quark Born diagram'' formalism. This approach describes the scattering as a single interaction, here the one-gluon-exchange (OGE) spin-spin term followed by constituent interchange, with external nonrelativistic baryon wave functions attached to the scattering diagrams to incorporate higher-twist wave-function effects. The short-range repulsive core in the [ital NN] interaction has previously been attributed to this spin-spin interaction in the literature; we find that these perturbative constituent-interchange diagrams do indeed predict repulsive interactions in all [ital I],[ital S] channels of the nucleon-nucleon system, and we compare our results for the equivalent short-range potentials to the core potentials found by other authors using nonperturbative methods. We also apply our perturbative techniques to the [ital N][Delta] and [Delta][Delta] systems: Some [Delta][Delta] channels are found to have attractive core potentials and may accommodate molecular'' bound states near threshold. Finally we use our Born formalism to calculate the [ital NN] differential cross section, which we compare with experimental results for unpolarized proton-proton elastic scattering. We find that several familiar features of the experimental differential cross section are reproduced by our Born-order result.

• DOE Contract Number: AC02-76ER03069; AC05-84OR21400; AC05-84ER40150
• OSTI ID: 6215769
• Journal Information: Physical Review, C (Nuclear Physics); (United States), Journal Name: Physical Review, C (Nuclear Physics); (United States) Vol. 48:2; ISSN 0556-2813; ISSN PRVCAN
• Country of Publication: United States
• Language: English

Related Subjects

663300* -- Nuclear Reactions & Scattering
General-- (1992-)
73 NUCLEAR PHYSICS AND RADIATION PHYSICS
BARYON-BARYON INTERACTIONS
BORN APPROXIMATION
BOSONS
COMPOSITE MODELS
CROSS SECTIONS
DIFFERENTIAL CROSS SECTIONS
ELEMENTARY PARTICLES
GLUONS
HADRON-HADRON INTERACTIONS
INTERACTIONS
MATHEMATICAL MODELS
MATRIX ELEMENTS
PARTICLE INTERACTIONS
PARTICLE MODELS
POSTULATED PARTICLES
QUARK MODEL
SCATTERING