Longitudinal response of three-body nuclei

Journal Article · Tue Dec 01 04:00:00 EST 1987 · Phys. Rev. C; (United States)

DOI:https://doi.org/10.1103/PhysRevC.36.2221· OSTI ID:5738973

Schiavilla, R; Pandharipande, V R

The method of correlated basis functions is generalized to describe three-nucleon and deuteron-plus-nucleon continuum states. The correlated basis functions are obtained by incorporating short range correlations between the spectator nucleon and the two nucleons of the interacting pair. Correlated orthonormal wave functions for the continuum states are generated by orthogonalizing the correlated basis functions via a combination of Schmidt and Loewdin transformations, designed so that the correlated orthonormal states have correct energies. The correlated orthonormal continuum states include the minimum interaction effects required to ensure orthogonality and reasonable short range behavior. The longitudinal response of /sup 3/He and /sup 3/H at k = 300 to 600 MeV/c is calculated with the variational ground state wave function and the correlated orthonormal final states. Both the short range correlations and the orthogonality corrections in the final states decrease the response in the quasi-free peak. The calculated response has the correct sum and energy-weighted sum within approx.5%, and that of /sup 3/He is in reasonable agreement with the Saclay experimental data. We find that the response of /sup 3/H is broader than that of /sup 3/He, and that it is relatively larger at energies greater than that of the quasi-free peak.

• Research Organization: Department of Physics, University of Illinois at Urbana-Champaign, Urbana, Illinois 61801
• OSTI ID: 5738973
• Journal Information: Phys. Rev. C; (United States), Journal Name: Phys. Rev. C; (United States) Vol. 36:6; ISSN PRVCA
• Country of Publication: United States
• Language: English

Related Subjects

653003* -- Nuclear Theory-- Nuclear Reactions & Scattering
73 NUCLEAR PHYSICS AND RADIATION PHYSICS
BARYON-BARYON INTERACTIONS
BORN APPROXIMATION
CHARGED PARTICLES
CORRELATION FUNCTIONS
DIRECT REACTIONS
DISTANCE
EVEN-ODD NUCLEI
FUNCTIONS
HADRON-HADRON INTERACTIONS
HAMILTONIANS
HELIUM 3
HELIUM ISOTOPES
IMPULSE APPROXIMATION
INTERACTION RANGE
INTERACTIONS
ISOTOPES
LIGHT NUCLEI
MANY-BODY PROBLEM
MATHEMATICAL OPERATORS
MOMENTUM TRANSFER
NUCLEAR REACTIONS
NUCLEI
NUCLEON-NUCLEON INTERACTIONS
PARTICLE INTERACTIONS
PERTURBATION THEORY
QUANTUM OPERATORS
QUASI-ELASTIC SCATTERING
QUASI-FREE REACTIONS
RESPONSE FUNCTIONS
SCATTERING
STABLE ISOTOPES
THREE-BODY PROBLEM
TRITONS
WAVE FUNCTIONS