Method for resonances and virtual states: Efimov virtual states

Journal Article · Thu Jul 01 04:00:00 EDT 1982 · Phys. Rev. C; (United States)

DOI:https://doi.org/10.1103/PhysRevC.26.77· OSTI ID:5013030

Adhikari, S K; Fonseca, A C; Tomio, L

A simple method is proposed for the calculation of the position and residue of low-energy resonances and virtual states located in the unphysical sheet associated with the lowest two body scattering threshold. Instead of analytically continuing the scattering equation for the t matrix into the unphysical sheet we propose an approximate solution of the scattering equation with known analytic properties and continue it analytically into the unphysical sheet. The poles of the analytically continued solution in the unphysical sheet correspond to virtual states and resonances. The present method is applied to study the /sup 1/S/sub 0/ virtual state of the two nucleon system, the Efimov virtual states in the three-boson Amado model and the spin doublet virtual state of the three-nucleon system.

• Research Organization: Departamento de Fisica, Universidade Federal de Pernambuco, 50.000 Recife, PE, Brazil
• OSTI ID: 5013030
• Journal Information: Phys. Rev. C; (United States), Journal Name: Phys. Rev. C; (United States) Vol. 26:1; ISSN PRVCA
• Country of Publication: United States
• Language: English

Related Subjects

645500 -- High Energy Physics-- Scattering Theory-- (-1987)
653003* -- Nuclear Theory-- Nuclear Reactions & Scattering
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
73 NUCLEAR PHYSICS AND RADIATION PHYSICS
ANGULAR MOMENTUM
BARYON-BARYON INTERACTIONS
ENERGY LEVELS
HADRON-HADRON INTERACTIONS
INELASTIC SCATTERING
INTERACTIONS
MANY-BODY PROBLEM
MATRICES
NUCLEON-NUCLEON INTERACTIONS
PARTICLE INTERACTIONS
PARTICLE PROPERTIES
RESONANCE SCATTERING
S MATRIX
SCATTERING
SPIN
THREE-BODY PROBLEM
TWO-BODY PROBLEM
VIRTUAL STATES