Three-boson relativistic bound states with zero-range two-body interaction

被引:30
作者
Carbonell, J
Karmanov, VA
机构
[1] Inst Nucl Sci, F-38026 Grenoble, France
[2] PN Lebedev Phys Inst, Moscow 119991, Russia
来源
PHYSICAL REVIEW C | 2003年 / 67卷 / 03期
关键词
D O I
10.1103/PhysRevC.67.037001
中图分类号
O57 [原子核物理学、高能物理学];
学科分类号
070202 ;
摘要
A relation between the mass M-3 of the relativistic three-body bound state and the mass M-2 of the two-body one is obtained for the zero-range interaction (phi(4) theory), using light-front dynamics. It is found that the three-body system exists only when M-2 is greater than a critical value M(c)approximate to1.43m (m is the constituent mass). For M-2 = M-c, the mass M-3 turns into zero and for M-2<M-c, there is no solution with real value of M-3.
引用
收藏
页码:370011 / 370014
页数:4
相关论文
共 15 条
[1]   PERTURBATIVE RENORMALIZATION IN QUANTUM FEW-BODY PROBLEMS [J].
ADHIKARI, SK ;
FREDERICO, T ;
GOLDMAN, ID .
PHYSICAL REVIEW LETTERS, 1995, 74 (04) :487-491
[2]   FORMULATION OF 2-BODY AND 3-BODY RELATIVISTIC EQUATIONS EMPLOYING LIGHT-FRONT DYNAMICS [J].
BAKKER, BLG ;
KONDRATYUK, LA ;
TERENTEV, MV .
NUCLEAR PHYSICS B, 1979, 158 (2-3) :497-519
[3]  
Brodsky S. J., 1998, Physics Reports, V301, P299, DOI 10.1016/S0370-1573(97)00089-6
[4]  
BROWN GE, 1976, NUCLEON NUCLEON INTE
[5]   Explicitly covariant light-front dynamics and relativistic few-body systems [J].
Carbonell, J ;
Desplanques, B ;
Karmanov, VA ;
Mathiot, JF .
PHYSICS REPORTS-REVIEW SECTION OF PHYSICS LETTERS, 1998, 300 (5-6) :215-347
[6]   FADDEEV NULL-PLANE MODEL OF THE NUCLEON [J].
DEARAUJO, WRB ;
DEMELO, JPBC ;
FREDERICO, T .
PHYSICAL REVIEW C, 1995, 52 (05) :2733-2737
[7]  
Demkov Yu. N., 1988, ZERO RANGE POTENTIAL
[8]   Regularized zero-range model and an application to the triton and the hypertriton [J].
Fedorov, DV ;
Jensen, AS .
NUCLEAR PHYSICS A, 2002, 697 (3-4) :783-801
[9]   Correlation-induced collapse of many-body systems with zero-range potentials [J].
Fedorov, DV ;
Jensen, AS .
PHYSICAL REVIEW A, 2001, 63 (06) :4
[10]   NULL-PLANE MODEL OF 3 BOSONS WITH ZERO-RANGE INTERACTION [J].
FREDERICO, T .
PHYSICS LETTERS B, 1992, 282 (3-4) :409-414