Ground States for a Stationary Mean-Field Model for a Nucleon

被引：4

作者：

Esteban, Maria J. ^{[1
]}

Nodari, Simona Rota ^{[2
,3
]}

机构：

[1] Univ Paris 09, CEREMADE, F-75775 Paris 16, France

[2] CNRS, Lab Jacques Louis Lions, UMR 7598, F-75005 Paris, France

[3] Univ Paris 06, Lab Jacques Louis Lions, UMR 7598, F-75005 Paris, France

来源：

ANNALES HENRI POINCARE | 2013年 / 14卷 / 05期

关键词：

CONCENTRATION-COMPACTNESS PRINCIPLE; CALCULUS;

D O I：

10.1007/s00023-012-0211-y

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

In this paper we consider a variational problem related to a model for a nucleon interacting with the omega and sigma mesons in the atomic nucleus. The model is relativistic, and we study it in a nuclear physics nonrelativistic limit, which is of a very different nature than the nonrelativistic limit in the atomic physics. Ground states are shown to exist for a large class of values for the parameters of the problem, which are determined by the values of some physical constants.

引用

页码：1287 / 1303

页数：17

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