Skyrme models and nuclear matter equation of state

被引:32
作者
Adam, C. [1 ,2 ]
Haberichter, M. [3 ]
Wereszczynski, A. [4 ]
机构
[1] Univ Santiago de Compostela, Dept Fis Particulas, E-15782 Santiago De Compostela, Spain
[2] IGFAE, E-15782 Santiago De Compostela, Spain
[3] Univ Kent, Sch Math Stat & Actuarial Sci, Canterbury CT2 7NF, Kent, England
[4] Jagiellonian Univ, Inst Phys, Krakow, Poland
来源
PHYSICAL REVIEW C | 2015年 / 92卷 / 05期
关键词
BPS SKYRMIONS; STARS; SCATTERING; CRYSTALS; SOLITONS; MAPS;
D O I
10.1103/PhysRevC.92.055807
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 investigate the role of pressure in a class of generalized Skyrme models. We introduce pressure as the trace of the spatial part of the energy-momentum tensor and show that it obeys the usual thermodynamical relation. Then, we compute analytically the mean-field equation of state in the high-and medium-pressure regimes by applying topological bounds on compact domains. The equation of state is further investigated numerically for the charge-one Skyrmions. We identify which term in a generalized Skyrme model is responsible for which part in the equation of state. Further, we compare our findings with the corresponding results in the Walecka model.
引用
收藏
页数:17
相关论文
共 67 条
[1]   Neutron stars in the Bogomol'nyi-Prasad-Sommerfield Skyrme model: Mean-field limit versus full field theory [J].
Adam, C. ;
Naya, C. ;
Sanchez-Guillen, J. ;
Vazquez, R. ;
Wereszczynski, A. .
PHYSICAL REVIEW C, 2015, 92 (02)
[2]   Baryon chemical potential and in-medium properties of BPS skyrmions [J].
Adam, C. ;
Klaehn, T. ;
Naya, C. ;
Sanchez-Guillen, J. ;
Vazquez, R. ;
Wereszczynski, A. .
PHYSICAL REVIEW D, 2015, 91 (12)
[3]   BPS Skyrmions as neutron stars [J].
Adam, C. ;
Naya, C. ;
Sanchez-Guillen, J. ;
Vazquez, R. ;
Wereszczynski, A. .
PHYSICS LETTERS B, 2015, 742 :136-142
[4]   Thermodynamics of the BPS Skyrme model [J].
Adam, C. ;
Naya, C. ;
Sanchez-Guillen, J. ;
Speight, J. M. ;
Wereszczynski, A. .
PHYSICAL REVIEW D, 2014, 90 (04)
[5]   Topological energy bounds in generalized Skyrme models [J].
Adam, C. ;
Wereszczynski, A. .
PHYSICAL REVIEW D, 2014, 89 (06)
[6]   Bogomol'nyi-Prasad-Sommerfield Skyrme Model and Nuclear Binding Energies [J].
Adam, C. ;
Naya, C. ;
Sanchez-Guillen, J. ;
Wereszczynski, A. .
PHYSICAL REVIEW LETTERS, 2013, 111 (23)
[7]   BPS Skyrme model and baryons at large Nc [J].
Adam, C. ;
Sanchez-Guillen, J. ;
Wereszczynski, A. .
PHYSICAL REVIEW D, 2010, 82 (08)
[8]   THE SKYRME MODEL WITH PION MASSES [J].
ADKINS, GS ;
NAPPI, CR .
NUCLEAR PHYSICS B, 1984, 233 (01) :109-115
[9]   Baryons as chiral solitons in the Nambu-Jona-Lasinio model [J].
Alkofer, R ;
Reinhardt, H ;
Weigel, H .
PHYSICS REPORTS-REVIEW SECTION OF PHYSICS LETTERS, 1996, 265 (03) :139-252
[10]  
ASCHER U, 1981, ACM T MATH SOFTWARE, V7, P209, DOI 10.1145/355945.355950