IMPROVED BOUNDS ON MANY-BODY HAMILTONIANS .1. SELF-GRAVITATING BOSONS

被引:46
作者
BASDEVANT, JL
MARTIN, A
RICHARD, JM
机构
[1] UNIV P & M CURIE,LPTPE,F-75231 PARIS 05,FRANCE
[2] CERN,CH-1211 GENEVA 23,SWITZERLAND
[3] UNIV JOSEPH FOURIER,INST SCI NUCL,F-38026 GRENOBLE,FRANCE
关键词
D O I
10.1016/0550-3213(90)90594-4
中图分类号
O412 [相对论、场论]; O572.2 [粒子物理学];
学科分类号
摘要
We propose a new method to obtain lower bounds on the ground-state energy of an N-body hamiltonian considered as a sum of two-body hamiltonians. When this is applied to a system of non-relativistic graviting bosons, the difference between variational upper bounds and the new lower bound never exceeds 17% or, if we accept to take a refined numerical calculation for the three-body case as input, 11%. As an illustration, the variational upper bound is used to obtain a semi-relativistic upper limit on the mass of a miniboson star. © 1990.
引用
收藏
页码:60 / 68
页数:9
相关论文
共 10 条
[1]   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
[2]   STABILITY OF MATTER .I. [J].
DYSON, FJ ;
LENARD, A .
JOURNAL OF MATHEMATICAL PHYSICS, 1967, 8 (03) :423-&
[3]  
FISCHER ME, 1966, J MATH PHYS, V7, P260
[4]  
KAUP DJ, 1968, PHYS REV, V172, P1767
[5]   NONSATURATION OF GRAVITATIONAL FORCES [J].
LEVYLEBLOND, JM .
JOURNAL OF MATHEMATICAL PHYSICS, 1969, 10 (05) :806-+
[6]  
LIEB EH, 1977, STUD APPL MATH, V57, P93
[7]   THE CHANDRASEKHAR THEORY OF STELLAR COLLAPSE AS THE LIMIT OF QUANTUM-MECHANICS [J].
LIEB, EH ;
YAU, HT .
COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1987, 112 (01) :147-174
[8]   COLLAPSE OF SYSTEMS OF RELATIVISTIC-PARTICLES [J].
MARTIN, A .
PHYSICS LETTERS B, 1988, 214 (04) :561-564
[9]   HARTREE SOLUTIONS FOR THE SELF-YUKAWIAN BOSON SPHERE [J].
MEMBRADO, M ;
PACHECO, AF ;
SANUDO, J .
PHYSICAL REVIEW A, 1989, 39 (08) :4207-4211
[10]   SYSTEMS OF SELF-GRAVITATING PARTICLES IN GENERAL RELATIVITY AND CONCEPT OF AN EQUATION OF STATE [J].
RUFFINI, R ;
BONAZZOLA, S .
PHYSICAL REVIEW, 1969, 187 (05) :1767-+