SIMULATION OF THE HARD CORE BY A VELOCITY DEPENDENCE

Journal Article · Thu Feb 14 23:00:00 EST 1963 · Physical Review (U.S.) Superseded in part by Phys. Rev. A, Phys. Rev. B: Solid State, Phys. Rev. C, and Phys. Rev. D

DOI:https://doi.org/10.1103/PhysRev.129.1901· OSTI ID:4705628

Moszkowski, S A

Recently, Green has shown explicitly that different potentials which fit the same S-wave phase shifts from 0 to 250 Mev (lab system) can give quite different binding energies of nuclear matter. In this paper it is shown for two particular potentials, a velocity-dependent one vs one with a hard core, how this different behavior is related to the form of the two-particle wave function at small interparticle distances. The equality of the phase shift vs energy for two potentials requires that the two-particle wave function must have not only the same asymptotic form but also the same value of an effective-range integral, which places some constraint on the form of the interior wave function as well. It is shown that the potentials give also nearly the same results to first order in the separation method,'' an approximation to the treatment of nuclear matter in which the wave function is assumed to equal the interior wave function at short distances joining on smoothly with the unperturbed wave function at a distance of about 1 F. However, the change in the particle propagator due to the velocity dependence of the nucleon-nucleus potential gives a positive contribution to the energy, which depends on the wave function at short distances. This contribution is much bigger for the hard-core potential than for the velocitydependent one, since there is more of a short-range correlation effect in the former case. (auth)

• Research Organization: Univ. of California, Los Angeles
• NSA Number: NSA-17-011921
• OSTI ID: 4705628
• Journal Information: Physical Review (U.S.) Superseded in part by Phys. Rev. A, Phys. Rev. B: Solid State, Phys. Rev. C, and Phys. Rev. D, Journal Name: Physical Review (U.S.) Superseded in part by Phys. Rev. A, Phys. Rev. B: Solid State, Phys. Rev. C, and Phys. Rev. D Vol. Vol: 129; ISSN PHRVA
• Country of Publication: Country unknown/Code not available
• Language: English

Related Subjects

BEHAVIOR
BINDING ENERGY
CONFIGURATION
CORRELATION
DIFFERENTIAL EQUATIONS
ENERGY
ENERGY RANGE
HARD-CORE POTENTIAL
INTEGRALS
INTERACTIONS
MANY BODY PROBLEM
MATHEMATICS
MOTION
NUCLEAR MATTER
NUCLEAR MODELS
NUCLEAR THEORY
NUCLEONS
PARTICLES
PERTURBATION THEORY
PHASE SHIFT
PHYSICS
QUANTUM MECHANICS
S-WAVE
SCATTERING
SPECTRAL SHIFT
STATISTICS
VELOCITY