J-PLANE STRUCTURE OF VENEZIANO MODEL

被引：25
作者：
FIVEL, DI
MITTER, PK
机构：
来源：
PHYSICAL REVIEW | 1969年 / 183卷 / 05期
基金：
美国国家科学基金会;
关键词：
D O I：
10.1103/PhysRev.183.1240
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
The Veneziano model for π+π- elastic scattering is subjected to J-plane anaylsis, and it is shown in that in the finite J plane it consists only of Regge poles and fixed poles at nonsense wrong-signature points. The residues of the leading and first two subsidiary trajectories are computed explicitly, and an algorithm is derived for the computation of all others. In deriving the algorithm, the Mandelstam form of the Reggepole series is obtained. It is shown that this series is asympotic in a certain domain, but not convergent, thus demonstrating the essential role of the background integration in producing crossing symmetry. The relation between the Veneziano residues and those of the Khuri model is discussed, as well as some other features of the J-plane structure. © 1969 The American Physical Society.
引用
收藏
页码：1240 / &
相关论文
共 16 条
  • [1] FIXED AND REGGE POLES IN VENEZIANO MODEL[J]. ALESSANDRINI, V;AMATI, D. PHYSICS LETTERS B, 1969(03)
  • [2] ERDELYI A, 1953, HIGHER TRANSCENDENTA, V1, P11
  • [3] ERDELYI A, 1953, HIGH TRANSCENDENTAL, V1, P8
  • [4] RISING TRAJECTORIES FALLING RESIDUES AND EXPERIMENT[J]. GOLDBERG, H. PHYSICAL REVIEW LETTERS, 1967(24)
  • [5] REGGE POLES AND LANDAU SINGULARITIES[J]. GRIBOV, VN;POMERANCHUK, IY. PHYSICAL REVIEW LETTERS, 1962(05)
  • [6] INVESTIGATION OF HYPOTHESES OF KHURIS THEOREM ON REGGE-POLF ASYMPTOTES[J]. JONES, CE;TEPLITZ, VL. PHYSICAL REVIEW LETTERS, 1967(03)
  • [7] SUMS OF DIRECT-CHANNEL REGGE-POLE CONTRIBUTIONS AND CROSSING SYMMETRY[J]. KHURI, NN. PHYSICAL REVIEW, 1968(05)
  • [8] A NOVEL APPLICATION OF REGGE TRAJECTORIES[J]. LOVELACE, C. PHYSICS LETTERS B, 1968(04)
  • [9] AN EXTENSION OF THE REGGE FORMULA[J]. MANDELSTAM, S. ANNALS OF PHYSICS, 1962(02)
  • [10] TRAJECTORIES IN VENEZIANOS MODEL[J]. ROSKIES, RZ. PHYSICAL REVIEW LETTERS, 1968(27)
12