Ghost states and the Pauli principle in multiparticle scattering theory

Journal Article · Thu Jun 01 00:00:00 EDT 1978 · Sov. J. Nucl. Phys. (Engl. Transl.); (United States)

OSTI ID:6459248

Kukulin, V I; Pomerantsev, V N

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), Vol. 27:6
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
73 NUCLEAR PHYSICS AND RADIATION PHYSICS
MANY-BODY PROBLEM
PAULI PRINCIPLE
NEUTRON-DEUTERON INTERACTIONS
SCATTERING AMPLITUDES
BOUND STATE
COUPLED CHANNEL THEORY
FADDEEV EQUATIONS
ORTHOGONAL TRANSFORMATIONS
AMPLITUDES
BARYON-BARYON INTERACTIONS
EQUATIONS
HADRON-HADRON INTERACTIONS
INTERACTIONS
NUCLEON-DEUTERON INTERACTIONS
PARTICLE INTERACTIONS
TRANSFORMATIONS
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