Correlations between the nuclear matter symmetry energy, its slope, and curvature

37th Brazilian Meeting on Nuclear Physics

Santos, B.M.^1 ; Dutra, M.^2 ; Lourenço, O.^3 ; Delfino, A.^1

Instituto de Física, Universidade Federal Fluminense, Niterói, RJ

24210-150, Brazil^1

Departamento de Física e Matemática - ICT, Universidade Federal Fluminense, Rio das Ostras, RJ

28895-532, Brazil^2

Departamento de Ciências da Natureza, Matemática e Educação, CCA, Universidade Federal de São Carlos, Araras, SP

13600-970, Brazil^3

关键词: Analytical expressions;    Linear correlation;    Nonrelativistic limits;    Nuclear matters;    Relativistic calculations;    Relativistic mean fields;    Saturation density;    Symmetry energies;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/630/1/012033/pdf
DOI  :  10.1088/1742-6596/630/1/012033

来源: IOP

【 摘 要 】

By using point-coupling versions of finite range nuclear relativistic mean field models containing cubic and quartic self interactionsin the scalar field σ, a nonrelativistic limit is achieved. This approach allows for an analytical expression for the symmetry energy (J) as a function of its slope (L) in a unified form, namely, L = 3J + f(m∗, ρo, Bo, Ko), where the quantities m∗, po, Boand Koare bulk parameters at the nuclear matter saturation density ρo. This result establishes a linear correlation between L and J which is reinforced by exact relativistic calculations we have performed. An analogous analytical correlation can also be found for J, L and the symmetry energy curvature (Ksym). Based on these results, we propose a graphic constraint in L × J plane which finite range models should satisfy.