COVARIANT DESCRIPTION OF DYNAMIC PROCESSES IN RELATIVISTIC NUCLEAR-MATTER

被引:31
作者
CELENZA, LS [1 ]
PANTZIRIS, A [1 ]
SHAKIN, CM [1 ]
机构
[1] CUNY BROOKLYN COLL, CTR NUCL THEORY, BROOKLYN, NY 11210 USA
来源
PHYSICAL REVIEW C | 1992年 / 45卷 / 01期
关键词
D O I
10.1103/PhysRevC.45.205
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
We report results of covariant calculations of density-dependent polarization processes in relativistic nuclear matter. We consider the polarization induced by those mesons that play an important role in the boson-exchange model of nuclear forces (sigma, pi, rho, omega). After obtaining the polarization operators, we construct the propagators for these mesons. The covariant nature of the calculation greatly clarifies the structure of the polarization operators and associated Green's functions. (In addition to the meson momentum, these quantities depend upon another four-vector, eta(mu), that describes the uniform motion of the medium.) In the case of the pion, we show that the same results are obtained for pseudovector or pseudoscalar coupling to the nucleon, if the associated Lagrangians are related by chiral transformations. Of particular interest are the extremely large values found for the polarization operators of the omega and sigma mesons. It is also found that the coupling of the sigma and omega fields through the polarization process is also extremely large. (Because of these results one cannot usefully consider the sigma and omega fields as independent degrees of freedom in nuclear matter.) We describe methods for reorganizing the calculation of ring diagrams in which we group those diagrams that exhibit strong cancellations. We also comment on the implication of our results for nuclear structure studies.
引用
收藏
页码:205 / 290
页数:86
相关论文
共 19 条
[1]   NONLINEAR REALIZATION AND HIDDEN LOCAL SYMMETRIES [J].
BANDO, M ;
KUGO, T ;
YAMAWAKI, K .
PHYSICS REPORTS-REVIEW SECTION OF PHYSICS LETTERS, 1988, 164 (4-5) :217-314
[2]   PROPERTIES OF THE SCALAR SIGMA-MESON AT FINITE DENSITY [J].
BERNARD, V ;
MEISSNER, UG ;
ZAHED, I .
PHYSICAL REVIEW LETTERS, 1987, 59 (09) :966-969
[3]  
BROWN GE, 1988, NUCL PHYS A, V488, pC689, DOI 10.1016/0375-9474(88)90296-5
[4]   DENSE NUCLEAR-MATTER - SUPERNOVAE AND HEAVY-IONS [J].
BROWN, GE .
ZEITSCHRIFT FUR PHYSIK C-PARTICLES AND FIELDS, 1988, 38 (1-2) :291-301
[5]   SCALING EFFECTIVE LAGRANGIANS IN A DENSE MEDIUM [J].
BROWN, GE ;
RHO, M .
PHYSICAL REVIEW LETTERS, 1991, 66 (21) :2720-2723
[6]  
CELENZA LS, 1986, RELATIVISTIC NUCLEAR
[7]   RELATIVISTIC MANY-BODY THEORY OF HIGH-DENSITY MATTER [J].
CHIN, SA .
ANNALS OF PHYSICS, 1977, 108 (02) :301-367
[8]  
COHEN TD, IN PRESS PHYS REV C
[9]  
Fetter A, 2003, QUANTUM THEORY MANY
[10]   COVARIANT FEYNMAN-RULES AT FINITE TEMPERATURE - APPLICATION TO NUCLEAR-MATTER [J].
FURNSTAHL, RJ ;
SEROT, BD .
PHYSICAL REVIEW C, 1991, 43 (01) :105-129