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
页数:4
相关论文
共 50 条
  • [21] Two particles with zero-range interaction in a magnetic field
    Kirscher, Johannes
    Tiburzi, Brian C.
    PHYSICS LETTERS B, 2021, 819
  • [22] Bound 0+ Excited States of Three-Body Systems with Short-Range Two-Body Interactions
    Lin Qi-Hu
    Ren Zhong-Zhou
    CHINESE PHYSICS LETTERS, 2013, 30 (05)
  • [23] Regularization of a three-body problem with zero-range potentials
    Fedorov, DV
    Jensen, AS
    JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 2001, 34 (30): : 6003 - 6012
  • [24] On renormalization of the three-body problem with zero-range potentials
    Fedorov, DV
    Jensen, AS
    NUCLEAR PHYSICS A, 2001, 689 (1-2) : 515C - 518C
  • [25] D-dimensional three-body bound-state problem with zero-range interactions
    Rosa, D. S.
    Frederico, T.
    Krein, G.
    Yamashita, M. T.
    PHYSICAL REVIEW A, 2022, 106 (02)
  • [26] Relativistic Faddeev 3D equations for three-body bound states without two-body t-matrices
    Mohammadzadeh, M.
    Radin, M.
    Hadizadeh, M. R.
    PROGRESS OF THEORETICAL AND EXPERIMENTAL PHYSICS, 2024, 2024 (01):
  • [27] Weakly bound states of two- and three-boson systems in the crossover from two to three-dimensions (vol 48, 025302, 2015)
    Yamashita, M. T.
    Bellotti, F. F.
    Frederico, T.
    Fedorov, D. V.
    Jensen, A. S.
    Zinner, N. T.
    JOURNAL OF PHYSICS B-ATOMIC MOLECULAR AND OPTICAL PHYSICS, 2016, 49 (11)
  • [28] Spectral analysis of a two body problem with zero-range perturbation
    Correggi, M.
    Dell'Antonio, G.
    Finco, D.
    JOURNAL OF FUNCTIONAL ANALYSIS, 2008, 255 (02) : 502 - 531
  • [29] Three-Body Hamiltonian with Regularized Zero-Range Interactions in Dimension Three
    Basti, Giulia
    Cacciapuoti, Claudio
    Finco, Domenico
    Teta, Alessandro
    ANNALES HENRI POINCARE, 2023, 24 (01): : 223 - 276
  • [30] Renormalized relativistic Hartree-Bogoliubov equations with a zero-range pairing interaction
    Niksic, T
    Ring, P
    Vretenar, D
    PHYSICAL REVIEW C, 2005, 71 (04):