NN scattering in higher-derivative formulation of baryon chiral perturbation theory

被引:20
作者
Djukanovic, D. [1 ]
Gegelia, J. [1 ,2 ]
Scherer, S. [1 ]
Schindler, M. R. [1 ]
机构
[1] Johannes Gutenberg Univ Mainz, Inst Kernphys, D-55099 Mainz, Germany
[2] Tbilisi State Univ, High Energy Phys Inst, GE-380086 Tbilisi, Georgia
关键词
D O I
10.1007/s00601-007-0194-2
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
We consider a new approach to the nucleon-nucleon scattering problem in the framework of the higher-derivative formulation of baryon chiral perturbation theory. Starting with a Lorentz-invariant form of the effective Lagrangian we work out a new symmetry-preserving framework where the leading-order amplitude is calculated by solving renormalizable equations and corrections are taken into account perturbatively. Analogously to the KSW approach, the (leading) renormalization scale dependence to any finite order is absorbed in the redefinition of a finite number of parameters of the effective potential at given order. On the other hand, analogously to Weinberg's power counting, the one-pion-exchange potential is of leading order and is treated non-perturbatively.
引用
收藏
页码:141 / 155
页数:15
相关论文
共 30 条
[1]   Towards a perturbative theory of nuclear forces [J].
Beane, SR ;
Bedaque, PF ;
Savage, MJ ;
van Kolck, U .
NUCLEAR PHYSICS A, 2002, 700 (1-2) :377-402
[2]   Effective field theory for few-nucleon systems [J].
Bedaque, PF ;
van Kolck, U .
ANNUAL REVIEW OF NUCLEAR AND PARTICLE SCIENCE, 2002, 52 :339-396
[3]  
Belkov A. A., 1995, Acta Physica Slovaca, V45, P121
[4]   Testing low energy theorems in nucleon-nucleon scattering [J].
Cohen, TD ;
Hansen, JM .
PHYSICAL REVIEW C, 1999, 59 (06) :3047-3051
[5]   Improving the ultraviolet behavior in baryon chiral perturbation theory [J].
Djukanovic, D ;
Schindler, MR ;
Gegelia, J ;
Scherer, S .
PHYSICAL REVIEW D, 2005, 72 (04) :1-12
[6]  
Ecker G, 1995, PROG PART NUCL PHYS, V35, P1, DOI 10.1016/0146-6410(95)00041-G
[7]   The two-nucleon system at next-to-next-to-next-to-leading order [J].
Epelbaum, E ;
Glöckle, W ;
Meissner, UG .
NUCLEAR PHYSICS A, 2005, 747 (2-4) :362-424
[8]  
EPELBAUM E, ARXIVNUCLTH0609037
[9]   Few-nucleon forces and systems in chiral effective field theory [J].
Epelbaum, Evgeny .
PROGRESS IN PARTICLE AND NUCLEAR PHYSICS, VOL 57, NO 2, 2006, 57 (02) :654-741
[10]   The chiral effective pion-nucleon Lagrangian of order p4 [J].
Fettes, N ;
Meissner, UG ;
Mojzis, M ;
Steininger, S .
ANNALS OF PHYSICS, 2000, 283 (02) :273-307