Analysis of four-body final states: Nonrelativistic

Journal Article · Mon Jan 31 23:00:00 EST 1977 · Phys. Rev., C; (United States)

DOI:https://doi.org/10.1103/PhysRevC.15.498· OSTI ID:7316599

Adhikari, S K; Amado, R D

The constraints of unitarity and analyticity on four-body final state amplitudes are studied. It is shown that unitarity alone forces the amplitudes to be coherent and have rapid (singular) behavior. The implementation of unitarity yields a set of linear integral equations for the four-body amplitudes that are the minimal set consistent with quantum mechanics, but are also equivalent to the full dynamical equation with separable interactions.

• Research Organization: Departmento de Fisica, Universidada Federal de Pernambuco, Recife, Pe. Brazil
• OSTI ID: 7316599
• Journal Information: Phys. Rev., C; (United States), Journal Name: Phys. Rev., C; (United States) Vol. 15:2; ISSN PRVCA
• Country of Publication: United States
• Language: English

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72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
73 NUCLEAR PHYSICS AND RADIATION PHYSICS
AMPLITUDES
ANGULAR MOMENTUM
EQUATIONS
FOUR-BODY PROBLEM
INTEGRAL EQUATIONS
INTERACTIONS
ISOSPIN
MANY-BODY PROBLEM
MATRICES
PARTIAL WAVES
PARTICLE INTERACTIONS
PARTICLE PROPERTIES
S MATRIX
SCATTERING AMPLITUDES
SPIN
UNITARITY