Delta. degrees of freedom in trinuclei. II. The Hannover. Delta. Delta. model

Journal Article · Sat Feb 01 04:00:00 EST 1992 · Physical Review, C (Nuclear Physics); (United States)

DOI:https://doi.org/10.1103/PhysRevC.45.547· OSTI ID:7277485

Picklesimer, A ^[1]; Rice, R A ^[2]; Brandenburg, R ^[3]

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1. Physics Division, Los Alamos National Laboratory, Los Alamos, New Mexico 87545 (United States)
2. Physics Division, Los Alamos National Laboratory, Los Alamos, New Mexico 87545 (United States) Department of Physics, Purdue University, West Lafayette, Indiana 47907 (United States)
3. Physics Division, Los Alamos National Laboratory, Los Alamos, New Mexico 87545 (United States) Institute for Physics, University of Basel, 3056 Basel (Switzerland)

The effect of {Delta} and {Delta}{Delta} degrees of freedom on the triton binding energy ({ital E}{sub {ital T}}) is studied using the Hannover {Delta}{Delta} force model. The three-body system of interest extends through {ital J}{le}4, with {ital L}({ital N}{Delta}),{ital L}({Delta}{Delta}){le}4. A series of preliminary investigations reduces this three-body problem to {ital J}{le}2, with {ital L}({ital N}{Delta}),{ital L}({Delta}{Delta}){le}2, and a 110 keV attractive correction to {ital E}{sub {ital T}}. These {ital J}{le}2 {Delta}{Delta} calculations reveal a repulsive dispersive effect of 930 keV and an attractive {Delta}{Delta} three-body force effect of 500 keV, in addition to the corresponding one-{Delta} effects of 550 and 920 keV, respectively. The total {Delta}-induced dispersive effect is thus about 1480 keV, while the total {Delta}-induced three-body force effect is about 1420 keV: {Delta} effects on {ital E}{sub {ital T}} almost exactly cancel. The net {Delta}{Delta} {ital J}{le}2 result is {ital E}{sub {ital T}}=7.32 MeV, while the corresponding nucleons-only result is 7.38 MeV. Similarly, the net {ital J}{le}4 result is {ital E}{sub {ital T}}=7.43 MeV, as compared to the corresponding nucleons-only result, 7.46 MeV. The Hannover {Delta}{Delta} force model is also examined for consistency with the two-body scattering parameters and is found to be somewhat defective in this regard. Thus, the important implications of these qualitative results for nuclear physics are to some extent dependent on confirmation using more sophisticated force models.

• OSTI ID: 7277485
• Journal Information: Physical Review, C (Nuclear Physics); (United States), Journal Name: Physical Review, C (Nuclear Physics); (United States) Vol. 45:2; ISSN 0556-2813; ISSN PRVCA
• Country of Publication: United States
• Language: English

Related Subjects

663100* -- Nuclear Structure-- (1992-)
663510 -- Nuclear Mass Ranges-- A=1-5-- (1992-)
73 NUCLEAR PHYSICS AND RADIATION PHYSICS
BARYON-BARYON INTERACTIONS
BARYONS
BINDING ENERGY
CHARGED PARTICLES
COUPLED CHANNEL THEORY
DELTA BARYONS
ELEMENTARY PARTICLES
ENERGY
EQUATIONS
FADDEEV EQUATIONS
FERMIONS
HADRON-HADRON INTERACTIONS
HADRONS
INTERACTIONS
MANY-BODY PROBLEM
MATHEMATICAL MODELS
N BARYONS
NUCLEAR MODELS
NUCLEON-NUCLEON INTERACTIONS
NUCLEON-NUCLEON POTENTIAL
PARTICLE INTERACTIONS
POTENTIALS
THREE-BODY PROBLEM
TRITONS