Symmetric excited states for a mean-field model for a nucleon

被引：4

作者：

Le Treust, Loic ^{[1
]}

Nodari, Simona Rota ^{[2
]}

机构：

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

[2] Univ Cergy Pontoise, Lab AGM, F-95302 Cergy Pontoise, France

来源：

JOURNAL OF DIFFERENTIAL EQUATIONS | 2013年 / 255卷 / 10期

关键词：

EXISTENCE;

D O I：

10.1016/j.jde.2013.07.041

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we consider a stationary 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. By a shooting method, we prove the existence of infinitely many solutions with a given angular momentum. These solutions are ordered by the number of nodes of each component. (C) 2013 Elsevier Inc. All rights reserved.

引用

页码：3536 / 3563

页数：28

共 8 条

[1] EXISTENCE OF EXCITED-STATES FOR A NONLINEAR DIRAC FIELD [J].