4-POINT FUNCTIONS IN QUARK FLAVOR DYNAMICS - MESON MESON SCATTERING

被引:37
作者
BERNARD, V
MEISSNER, UG
BLIN, AH
HILLER, B
机构
[1] UNIV STRASBOURG 1, F-67070 STRASBOURG, FRANCE
[2] UNIV BERN, INST THEORET PHYS, CH-3012 BERN, SWITZERLAND
[3] UNIV COIMBRA, CTR FIS TEOR, P-3000 COIMBRA, PORTUGAL
关键词
D O I
10.1016/0370-2693(91)91749-L
中图分类号
P1 [天文学];
学科分类号
0704 ;
摘要
We study pion-pion scattering in an extended version of the three-flavor Nambu-Jona-Lasinio model. We show that the leading order contributions of the pi-pi-scattering amplitude agree with the standard current algebra results. We evaluate the various scattering lengths and amplitudes. For the regime of "barely broken" chiral symmetry, which is characterized by substantial nonlinearities under the introduction of the current quark masses, we find a(0)(0) = 0.26 in agreement with the data. The threshold parameters in the other channels are also satisfactorily described.
引用
收藏
页码:443 / 450
页数:8
相关论文
共 24 条
[1]   CONSTRUCTION OF PHENOMENOLOGICAL PIPI AMPLITUDES [J].
BASDEVANT, JL ;
FROGGATT, CD ;
PETERSEN, JL .
NUCLEAR PHYSICS B, 1974, B 72 (03) :413-453
[2]  
BELKOV A, 1979, JETP LETT, V29, P1597
[3]   STRANGENESS MIXING AND QUENCHING IN THE NAMBU-JONA-LASINIO MODEL [J].
BERNARD, V ;
JAFFE, RL ;
MEISSNER, UG .
NUCLEAR PHYSICS B, 1988, 308 (04) :753-790
[4]   LOW-ENERGY CONSTRAINTS ON STRANGE MATRIX-ELEMENTS OF THE PROTON [J].
BERNARD, V ;
MEISSNER, UG .
PHYSICS LETTERS B, 1989, 223 (3-4) :439-444
[5]   PROPERTIES OF VECTOR AND AXIAL-VECTOR MESONS FROM A GENERALIZED NAMBU JONA-LASINIO MODEL [J].
BERNARD, V ;
MEISSNER, UG .
NUCLEAR PHYSICS A, 1988, 489 (04) :647-670
[6]  
Bernard V., UNPUB
[7]   STUDY OF PI-PI SCATTERING-AMPLITUDES IN THE REACTION PI+P-]DELTA++PI0PI0 AT 8.0 GEV [J].
CASON, NM ;
CANNATA, PE ;
BAUMBAUGH, AE ;
BISHOP, JM ;
BISWAS, NN ;
DAUWE, LJ ;
KENNEY, VP ;
RUCHTI, RC ;
SHEPHARD, WD ;
WATSON, JM .
PHYSICAL REVIEW D, 1983, 28 (07) :1586-1600
[8]   EFFECTIVE ACTION FOR COMPOSITE OPERATORS [J].
CORNWALL, JM ;
JACKIW, R ;
TOMBOULIS, E .
PHYSICAL REVIEW D, 1974, 10 (08) :2428-2445
[9]   PI-PI-SCATTERING AND CHIRAL LAGRANGIANS [J].
DONOGHUE, JF ;
RAMIREZ, C ;
VALENCIA, G .
PHYSICAL REVIEW D, 1988, 38 (07) :2195-2201
[10]   COMPILATION OF COUPLING-CONSTANTS AND LOW-ENERGY PARAMETERS [J].
DUMBRAJS, O ;
KOCH, R ;
PILKUHN, H ;
OADES, GC ;
BEHRENS, H ;
DESWART, JJ ;
KROLL, P .
NUCLEAR PHYSICS B, 1983, 216 (02) :277-335