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
收藏
页码：3536 / 3563
页数：28
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