Higher threshold parameters in ππ scattering

被引:9
作者
Ananthanarayan, B [1 ]
Buttiker, P
机构
[1] Indian Inst Sci, Ctr Theoret Studies, Bangalore 560012, Karnataka, India
[2] Univ Bern, Inst Theoret Phys, CH-3012 Bern, Switzerland
关键词
sum rules; pi pi scattering; chiral perturbation theory;
D O I
10.1016/S0370-2693(97)01231-8
中图分类号
P1 [天文学];
学科分类号
0704 ;
摘要
A family of threshold parameters which probe the stability of chiral predictions is considered. The relevant criteria for the choice of threshold parameters are discussed. Sum rules for these quantities are derived from dispersion relations and evaluated from effective range formulae. Good agreement with two-loop chiral estimates for many of these quantities is found and interesting discrepancies are discussed. (C) 1997 Elsevier Science B.V.
引用
收藏
页码:402 / 410
页数:9
相关论文
共 23 条
[1]   Chiral coupling constants (l)over-bar(1) and (l)over-bar(2) from pi pi phase shifts [J].
Ananthanarayan, B ;
Buttiker, P .
PHYSICAL REVIEW D, 1996, 54 (01) :1125-1135
[2]   Low energy sum rules for pi-pi scattering and threshold parameters [J].
Ananthanarayan, B ;
Toublan, D ;
Wanders, G .
PHYSICAL REVIEW D, 1996, 53 (05) :2362-2370
[3]   Scattering lengths and medium and high energy pi pi scattering [J].
Ananthanarayan, B ;
Buttiker, P .
PHYSICAL REVIEW D, 1996, 54 (09) :5501-5508
[4]  
BARNETT M, 1996, PHYS REV D, V54, P1
[5]   CROSSING AND PHYSICAL PARTIAL-WAVE AMPLITUDES [J].
BASDEVANT, JL ;
LEGUILLO.JC ;
NAVELET, H .
NUOVO CIMENTO DELLA SOCIETA ITALIANA DI FISICA A, 1972, A 7 (02) :363-+
[6]   CONSTRUCTION OF PHENOMENOLOGICAL PIPI AMPLITUDES [J].
BASDEVANT, JL ;
FROGGATT, CD ;
PETERSEN, JL .
NUCLEAR PHYSICS B, 1974, B 72 (03) :413-453
[7]   Elastic pi pi scattering to two loops [J].
Bijnens, J ;
Colangelo, G ;
Ecker, G ;
Gasser, J ;
Sainio, ME .
PHYSICS LETTERS B, 1996, 374 (1-3) :210-216
[8]   CHIRAL PERTURBATION-THEORY TO ONE LOOP [J].
GASSER, J ;
LEUTWYLER, H .
ANNALS OF PHYSICS, 1984, 158 (01) :142-210
[9]  
GIRLANDA M, HEPPH9703448
[10]   The low energy pi pi amplitude to one and two loops [J].
Knecht, M ;
Moussallam, B ;
Stern, J ;
Fuchs, NH .
NUCLEAR PHYSICS B, 1995, 457 (03) :513-574