Delta. degrees of freedom in trinuclei: I. The Hannover one-. Delta. model

Journal Article · Tue Oct 01 04:00:00 EDT 1991 · Physical Review, C (Nuclear Physics); (United States)

DOI:https://doi.org/10.1103/PhysRevC.44.1359· OSTI ID:5177617

Picklesimer, A; Rice, R A; Brandenburg, R ^[1]

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1. Physics Division, Los Alamos National Laboratory, Los Alamos, New Mexico (USA) Department of Physics, Purdue University, West Lafayette, Indiana (USA) Institute for Physics, University of Basel, 3056 Basel (Switzerland)

The shift in binding energy that results from allowing one explicit {Delta} in the triton is studied using the Hannover one-{Delta} force model. The one-{Delta} analysis extends through {ital J}{le}4, subject only to {ital L}({ital N}{Delta}){le}4. Our main result is a 103-channel triton binding energy of 7.83 MeV, which corresponds to a net attractive one-{Delta} effect of 370 keV. The corresponding (repulsive) dispersive effect is found to be 600 keV, so that the full one-{Delta} three-body-force effect is 970 keV. Appropriately restricted {ital J}{le}2 calculations substantiate the basic results of the original Hannover triton calculations, although differences are found. The original {ital J}{le}2 figures are in good agreement with our full results and dissecting our results shows this to be largely due to cancellations among the various truncations employed in the original calculations. A numerical correction is obtained for each truncation and these are found to be relatively independent of each other. This forms a reliable basis for subsequent {Delta}{Delta} studies. The Hannover one-{Delta} model is also critically examined for physical consistency and the {sup 1}{ital S}{sub 0} effective range is found to be about 0.1 fm too low, a defect which could be responsible for about half of the net 370-keV increase in triton binding. The approach, methods, and numerical checks that underlie our investigations are also detailed.

• OSTI ID: 5177617
• Journal Information: Physical Review, C (Nuclear Physics); (United States), Journal Name: Physical Review, C (Nuclear Physics); (United States) Vol. 44:4; ISSN 0556-2813; ISSN PRVCA
• Country of Publication: United States
• Language: English

Related Subjects

653001* -- Nuclear Theory-- Nuclear Structure
Moments
Spin
& Models
73 NUCLEAR PHYSICS AND RADIATION PHYSICS
BINDING ENERGY
CHARGED PARTICLES
DEGREES OF FREEDOM
ENERGY
MANY-BODY PROBLEM
NUCLEON-NUCLEON POTENTIAL
POTENTIALS
THREE-BODY PROBLEM
TRITONS