Hilbert space approach to the three- and four-nucleon systems

Journal Article · Wed Dec 31 23:00:00 EST 1980 · J. Math. Phys. (N.Y.); (United States)

DOI:https://doi.org/10.1063/1.524733· OSTI ID:6633925

Kroeger, H

A Hilbert space formulation is proposed for the three-nucleon scattering problem. Scattering integral equations are given derived from Alt--Grassberger--Sandhas equations. Using the momentum representation, the kernel of the iterated integral equation is shown to be compact in an adjusted Hilbert space. The extension to four nucleons is given.

• Research Organization: Oak Ridge National Laboratory, Oak Ridge, Tennessee 37830
• DOE Contract Number: W-7405-ENG-26
• OSTI ID: 6633925
• Journal Information: J. Math. Phys. (N.Y.); (United States), Journal Name: J. Math. Phys. (N.Y.); (United States) Vol. 22:1; ISSN JMAPA
• Country of Publication: United States
• Language: English

Related Subjects

645500* -- High Energy Physics-- Scattering Theory-- (-1987)
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
AMPLITUDES
BANACH SPACE
BARYONS
ELEMENTARY PARTICLES
EQUATIONS
FERMIONS
FOUR-BODY PROBLEM
FUNCTIONS
GREEN FUNCTION
HADRONS
HILBERT SPACE
INTEGRAL EQUATIONS
KERNELS
MANY-BODY PROBLEM
MATHEMATICAL SPACE
NUCLEONS
SCATTERING AMPLITUDES
SPACE
THREE-BODY PROBLEM