Ghost states and the Pauli principle in multiparticle scattering theory
The orthogonal projection method in multiparticle scattering theory has already been developed for projecting on scattering channels which have the same symmetry as the bound states have. Now this method is generalized for the case of projecting on states with different symmetry, in particular, on states which are forbidden by the Pauli principle. As a consequence of this, ghost bound states are introduced into multiparticle scattering theory as specific eigenfunctions of integral kernels. It is shown that the scattering amplitudes constructed using the ghost states give an accurate description of scattering in the channels in which the Pauli principle is decisive. The case of nd scattering in the quartet channel is analyzed in detail and the generalization of this method to systems of four and more particles is discussed.
- Research Organization:
- Institute of Nuclear Physics, Moscow State University
- OSTI ID:
- 6459248
- Journal Information:
- Sov. J. Nucl. Phys. (Engl. Transl.); (United States), Journal Name: Sov. J. Nucl. Phys. (Engl. Transl.); (United States) Vol. 27:6; ISSN SJNCA
- Country of Publication:
- United States
- Language:
- English
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Related Subjects
651225 -- Nuclear Properties & Reactions
A=1-5
Experimental-- Nuclear Reactions & Scattering-- (-1987)
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
73 NUCLEAR PHYSICS AND RADIATION PHYSICS
AMPLITUDES
BARYON-BARYON INTERACTIONS
BOUND STATE
COUPLED CHANNEL THEORY
EQUATIONS
FADDEEV EQUATIONS
HADRON-HADRON INTERACTIONS
INTERACTIONS
MANY-BODY PROBLEM
NEUTRON-DEUTERON INTERACTIONS
NUCLEON-DEUTERON INTERACTIONS
ORTHOGONAL TRANSFORMATIONS
PARTICLE INTERACTIONS
PAULI PRINCIPLE
SCATTERING AMPLITUDES
TRANSFORMATIONS