论文标题
等素密度依赖于无限核物质到有限核的配对
Isospin-density dependent pairing from infinite nuclear matter to finite nuclei
论文作者
论文摘要
有效的同胞密度依赖性配对相互作用（P1）[S. S. Zhang，U。Lombardo和E. G. Zhao，Sci。下巴。物理。机械。太空人。 {\ bf 54}，236（2011）]从中子配对差距中提取的$^1 $ s $ _0 $ in非对称核物质计算[S. S. Zhang，L。G。Cao，U。Lombardo等。物理。 C {\ bf 81}，044313（2010）]用于研究CA，Ni，Zr和SN同位素的批量特性。奇数质量（OEM）的惊人质量是通过SKYME HARTREE-FOCK PLUS BCS方法（SHF + BCS）和SKP相互作用计算的。为了进行比较，我们研究了其他两种类型的等级配对相互作用。还通过Brueckner-Hartree-fock（BHF）方法从无限核物质的配对间隙中提取一个方法，但自由频谱（P2）提取。另一个是通过拟合经验OEM（P3）获得的。还采用了等效配对相互作用（P4），这是通过拟合经验OEM确定的。我们发现相互作用P1可以更好地描述Ni，Zr和SN同位素的OEM差异为$ 14.3 \％，41 \％，30.4 \％$与相互作用P2相比，分别在均方根偏离经验OEM方面。另一方面，P1和P2的性能对于Ca同位素是可比的。对于CA和Ni同位素，P1的行为与P3相似，但是对于ZR同位素，P1比P3优于$ \ sim 34 \％$。在研究的四个配对相互作用中，P4表现最差。因此，可以得出结论，对于有限核中的中子配对，与等轴相比，等级配对是优选的。有趣的是，从核物质计算中提取的配对相互作用P1可以描述有限核的配对差距，甚至比直接适合有限核的相互作用P3的配对差距。
The effective isospin-density dependent pairing interaction (P1) [S. S. Zhang, U. Lombardo and E. G. Zhao, Sci. Chin. Phys. Mech. Astro. {\bf 54}, 236 (2011)] extracted from neutron pairing gaps for $^1$S$_0$ in asymmetric nuclear matter calculations [S. S. Zhang, L. G. Cao, U. Lombardo, et al. Phys. Rev. C {\bf 81}, 044313 (2010)] is employed to study the bulk properties of Ca, Ni, Zr and Sn isotopes. The odd-even mass (OEM) staggering is calculated by the Skyrme Hartree-Fock plus BCS method (SHF + BCS) with the SkP interaction. For comparison, we study two other types of isovector effective pairing interactions. One is also extracted from pairing gaps of infinite nuclear matter by the Brueckner-Hartree-Fock (BHF) method but for free spectrum (P2). The other is obtained by fitting the empirical OEM (P3). An isoscalar effective pairing interaction (P4) is also adopted which is determined by fitting the empirical OEM. We find that interaction P1 can better describe the OEM staggering of Ni, Zr and Sn isotopes by $14.3 \%, 41 \%, 30.4 \%$ compared with interaction P2, in terms of root mean square deviations to the empirical OEM, respectively. On the other hand, the performance of P1 and P2 is comparable for Ca isotopes. For Ca and Ni isotopes, P1 behaves similarly as P3, but for Zr isotopes P1 is better than P3 by $\sim 34 \%$. Among the four pairing interactions studied, P4 performs the worst. Therefore, one may conclude that for neutron pairings in finite nuclei, the isovector pairings are preferred than the isoscalar one. It is quite interesting to note that the pairing interaction P1 extracted from nuclear matter calculations can describe pairing gaps of finite nuclei as well as or even better than the interaction P3 directly fitted to finite nuclei.
