RELATIVISTIC SPECTRAL RANDOM-PHASE APPROXIMATION IN FINITE NUCLEI

被引:95
作者
DAWSON, JF [1 ]
FURNSTAHL, RJ [1 ]
机构
[1] UNIV MARYLAND, DEPT PHYS & ASTRON, COLLEGE PK, MD 20742 USA
来源
PHYSICAL REVIEW C | 1990年 / 42卷 / 05期
关键词
D O I
10.1103/PhysRevC.42.2009
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
A relativistic random-phase approximation (RPA) description of discrete excitations in closed-shell nuclei is presented using a spectral approach, with emphasis on the nature and importance of self-consistency. A functional derivation of self-consistent RPA equations is given, based on a nonrelativistic formalism, and its generalization is discussed. Vacuum polarization is neglected, but consistency demands configuration spaces that include both particle-hole pairs and pairs formed from occupied states and negative-energy states, which ensures current conservation and the decoupling of the spurious state. Results in the Walecka (-) model for various isoscalar states in C12, O16, and Ca40, are given, including electron scattering form factors. © 1990 The American Physical Society.
引用
收藏
页码:2009 / 2022
页数:14
相关论文
共 34 条
[1]   DIRAC OPTICAL-MODEL ANALYSIS OF P-]-CA-40 ELASTIC-SCATTERING AT 180 MEV AND THE WINE-BOTTLE-BOTTOM SHAPE [J].
ARNOLD, LG ;
CLARK, BC ;
MERCER, RL ;
SCHWANDT, P .
PHYSICAL REVIEW C, 1981, 23 (05) :1949-1959
[2]   SPURIOUS STATES IN CALCULATIONS OF COLLECTIVE EXCITATIONS IN NUCLEI [J].
BAYM, G .
PHYSICS LETTERS, 1962, 1 (07) :241-244
[3]   CONSERVATION LAWS AND CORRELATION FUNCTIONS [J].
BAYM, G ;
KADANOFF, LP .
PHYSICAL REVIEW, 1961, 124 (02) :287-+
[4]   SELF-CONSISTENT APPROXIMATIONS IN MANY-BODY SYSTEMS [J].
BAYM, G .
PHYSICAL REVIEW, 1962, 127 (04) :1391-&
[5]  
Blaizot J.-P., 1986, QUANTUM THEORY FINIT
[6]   RANDOM PHASE APPROXIMATION FOR LIGHT-NUCLEI BASED ON FULLY RELATIVISTIC HARTREE-FOCK CALCULATIONS [J].
BLUNDEN, PG ;
MCCORQUODALE, P .
PHYSICAL REVIEW C, 1988, 38 (04) :1861-1869
[7]  
Brodsky S. J., 1984, Comments on Nuclear and Particle Physics, V12, P213
[8]  
BUTI TN, 1984, THESIS MIT
[9]   LARGE-NC QCD, COMPOSITE NUCLEONS, AND THE DIRAC SEA [J].
COHEN, TD .
PHYSICAL REVIEW LETTERS, 1989, 62 (26) :3027-3030
[10]   VARIATIONAL FORMULATION OF QUANTUM FIELD THEORY .I. [J].
DAHMEN, HD ;
JONALASI.G .
NUOVO CIMENTO A, 1967, 52 (03) :807-+