Resonances and time-delay in three-body scattering

Journal Article · Fri Sep 01 04:00:00 EDT 1989 · Physical Review (Section) C: Nuclear Physics; (USA)

DOI:https://doi.org/10.1103/PhysRevC.40.1136· OSTI ID:5552284

Svenne, J P; Osborn, T A ^[1]; Pisent, G ^[2]; Eyre, D ^[3]

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1. Department of Physics, University of Manitoba, Winnipeg, Manitoba, Canada R3T 2N2 (CA)
2. Dipartimento di Fisica dell'Universita Padova, Istituto Nazionale di Fisica Nucleare, Sezione di Padova, Padova, Italy
3. Departement Wiskunde en Toegepaste Wiskunde, Potchefstroomse Universiteit vir Christelike Hoer Onderwys, Vanderbijlpark, Republic of South Africa

Time delay and resonant phenomena are examined in the context of a model three-body problem. The time-delay formalism is reviewed and summarized, as it applies to a three-body system. Calculations are carried out for a three-body model containing elastic, inelastic, and rearrangement channels. The two-body interactions in the model permit two-body resonances to be embedded in the three-body structure. Eigenvalues of the time-delay matrix are shown to provide a clear, unambiguous signature of resonant behavior in the multichannel system. A resonance always shows up as a positive peak in {ital one} eigenvalue of the time-delay matrix. This result is contrasted with the more usual means of identifying resonant behavior by studying the phases of the {ital S}-matrix elements, or the eigenphases of the {ital S} matrix.

• OSTI ID: 5552284
• Journal Information: Physical Review (Section) C: Nuclear Physics; (USA), Journal Name: Physical Review (Section) C: Nuclear Physics; (USA) Vol. 40:3; ISSN 0556-2813; ISSN PRVCA
• Country of Publication: United States
• Language: English

Related Subjects

653003* -- Nuclear Theory-- Nuclear Reactions & Scattering
73 NUCLEAR PHYSICS AND RADIATION PHYSICS
BREIT-WIGNER FORMULA
EIGENVALUES
HAMILTONIANS
INELASTIC SCATTERING
MANY-BODY PROBLEM
MATHEMATICAL OPERATORS
MATRICES
MATRIX ELEMENTS
PHASE SHIFT
QUANTUM OPERATORS
RESONANCE SCATTERING
S MATRIX
SCATTERING
THREE-BODY PROBLEM
TIME DELAY
TWO-BODY PROBLEM