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Unexpected strong attraction in the presence of continuum bound state

Technical Report:

Abstract

The result of few-particle ground-state calculation employing a two-particle non-local potential supporting a continuum bound state in addition to a negative-energy bound state has occasionally revealed unexpected large attraction in producing a very strongly bound ground state. In the presence of the continuum bound state the difference of phase shift between zero and infinite energies has an extra jump of {phi} as in the presence of an additional bound state. The wave function of the continuum bound state is identical with that of a strongly bound negative-energy state, which leads us to postulate a pseudo bound state in the two-particle system in order to explain the unexpected attraction. The role of the Pauli forbidden states is expected to be similar to these pseudo states. (author).
Authors:
Delfino, A; [1]  Adhikari, S K; Tomio, L; [2]  Frederico, T [3] 
  1. Universidade Federal Fluminense, Niteroi, RJ (Brazil). Inst. de Fisica
  2. Instituto de Fisica Teorica (IFT), Sao Paulo, SP (Brazil)
  3. Centro Tecnico Aeroespacial (CTA-IEAv), Sao Jose dos Campos, SP (Brazil). Inst. de Estudos Avancados
Publication Date:
Jun 01, 1992
Product Type:
Technical Report
Report Number:
IFT-P-033/92
Reference Number:
SCA: 661100; PA: AIX-24:003168; SN: 93000913686
Resource Relation:
Other Information: PBD: Jun 1992
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; TWO-BODY PROBLEM; BOUND STATE; GROUND STATES; LEVINSON THEOREM; S MATRIX; WAVE FUNCTIONS; 661100; CLASSICAL AND QUANTUM MECHANICS
OSTI ID:
10108983
Research Organizations:
Instituto de Fisica Teorica (IFT), Sao Paulo, SP (Brazil)
Country of Origin:
Brazil
Language:
English
Other Identifying Numbers:
Other: ON: DE93609837; TRN: BR9230411003168
Availability:
OSTI; NTIS (US Sales Only); INIS
Submitting Site:
INIS
Size:
[23] p.
Announcement Date:
Jun 30, 2005

Technical Report:

Citation Formats

Delfino, A, Adhikari, S K, Tomio, L, and Frederico, T. Unexpected strong attraction in the presence of continuum bound state. Brazil: N. p., 1992. Web.
Delfino, A, Adhikari, S K, Tomio, L, & Frederico, T. Unexpected strong attraction in the presence of continuum bound state. Brazil.
Delfino, A, Adhikari, S K, Tomio, L, and Frederico, T. 1992. "Unexpected strong attraction in the presence of continuum bound state." Brazil.
@misc{etde_10108983,
title = {Unexpected strong attraction in the presence of continuum bound state}
author = {Delfino, A, Adhikari, S K, Tomio, L, and Frederico, T}
abstractNote = {The result of few-particle ground-state calculation employing a two-particle non-local potential supporting a continuum bound state in addition to a negative-energy bound state has occasionally revealed unexpected large attraction in producing a very strongly bound ground state. In the presence of the continuum bound state the difference of phase shift between zero and infinite energies has an extra jump of {phi} as in the presence of an additional bound state. The wave function of the continuum bound state is identical with that of a strongly bound negative-energy state, which leads us to postulate a pseudo bound state in the two-particle system in order to explain the unexpected attraction. The role of the Pauli forbidden states is expected to be similar to these pseudo states. (author).}
place = {Brazil}
year = {1992}
month = {Jun}
}