WEAKLY-BOUND 3-BODY SYSTEMS WITH NO BOUND SUBSYSTEMS

被引：45
作者：
GOY, J
RICHARD, JM
FLECK, S
机构：
[1] UNIV BONN, INST THEORET KERNPHYS, D-53115 BONN, GERMANY
[2] INST PHYS NUCL, F-69622 VILLEURBANNE, FRANCE
来源：
PHYSICAL REVIEW A | 1995年 / 52卷 / 05期
关键词：
D O I：
10.1103/PhysRevA.52.3511
中图分类号：
O43 [光学];
学科分类号：
070207 ; 0803 ;
摘要：
We investigate the domain of coupling constants which achieve binding for a three-body system while none of the two-body subsystems is bound. We derive some general properties of the shape of the domain and rigorous upper bounds on its size, using a Hall-Post decomposition of the Hamiltonian. Numerical illustrations are provided in the case of a Yukawa potential, using a simple variational method.
引用
收藏
页码：3511 / 3520
页数：10
相关论文
共 49 条
[1]   DO NARROW HEAVY MULTIQUARK STATES EXIST [J].
ADER, JP ;
RICHARD, JM ;
TAXIL, P .
PHYSICAL REVIEW D, 1982, 25 (09) :2370-2382
[2]   A CLASS OF EXACTLY SOLVABLE 3-BODY QUANTUM-MECHANICAL PROBLEMS AND THE UNIVERSAL LOW-ENERGY BEHAVIOR [J].
ALBEVERIO, S ;
HOEGHKROHN, R ;
WU, TT .
PHYSICS LETTERS A, 1981, 83 (03) :105-109
[3]   IMPROVED BOUNDS ON MANY-BODY HAMILTONIANS .2. BARYONS FROM MESONS IN THE QUARK-MODEL [J].
BASDEVANT, JL ;
MARTIN, A ;
RICHARD, JM .
NUCLEAR PHYSICS B, 1990, 343 (01) :69-85
[4]   OPTIMIZED LOWER BOUNDS IN THE 3-BODY PROBLEM [J].
BASDEVANT, JL ;
MARTIN, A ;
RICHARD, JM ;
WU, TT .
NUCLEAR PHYSICS B, 1993, 393 (1-2) :111-125
[5]   IMPROVED BOUNDS ON MANY-BODY HAMILTONIANS .1. SELF-GRAVITATING BOSONS [J].
BASDEVANT, JL ;
MARTIN, A ;
RICHARD, JM .
NUCLEAR PHYSICS B, 1990, 343 (01) :60-68
[6]   3-PARTICLE GROUND-STATE - SENSITIVITY TO EQUIVALENT INTERACTIONS [J].
BENAYOUN, JJ ;
GIGNOUX, C ;
GILLESPIE, J ;
LAVERNE, A .
LETTERE AL NUOVO CIMENTO, 1973, 8 (07) :414-416
[7]  
BETHE HA, 1947, QUANTUM MECHANICS ON
[8]   ON THE INTERPRETATION OF NEUTRON-PROTON SCATTERING DATA BY THE SCHWINGER VARIATIONAL METHOD [J].
BLATT, JM ;
JACKSON, JD .
PHYSICAL REVIEW, 1949, 76 (01) :18-37
[9]   NEUTRON HALO OF HE-6 IN A MICROSCOPIC MODEL [J].
CSOTO, A .
PHYSICAL REVIEW C, 1993, 48 (01) :165-171
[10]   3-BODY COLLAPSE FOR TABAKIN POTENTIALS AND THE THOMAS EFFECT [J].
DELFINO, A ;
ADHIKARI, SK ;
TOMIO, L ;
FREDERICO, T .
PHYSICAL REVIEW C, 1992, 46 (02) :471-476
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