【摘要】：磁星是一類由磁場供能、強(qiáng)磁化的中子星,其內(nèi)部磁場遠(yuǎn)高于電子的量子臨界磁場.本文通過引入電子朗道能級的穩(wěn)定性系數(shù)g_n,討論了在磁星環(huán)境下電子的朗道能級的穩(wěn)定性及其對電子費(fèi)米能E_F(e)的影響;研究發(fā)現(xiàn),磁場越強(qiáng),電子的朗道能級越不穩(wěn)定,最大的朗道能級級數(shù)n_(max)越小;朗道能級數(shù)n越大,能級穩(wěn)定性系數(shù)g_n越小.根據(jù)朗道能級的穩(wěn)定性系數(shù)g_n隨磁場的增加而減小的要求,電子費(fèi)米能表達(dá)式的磁場指數(shù)β必須是正數(shù).通過引入Dirac-δ函數(shù),推導(dǎo)出超強(qiáng)磁場下的簡并的、相對論電子費(fèi)米能的一般表達(dá)式,修正了E_F(e)的特解.新的特解給出磁場指數(shù)β=1/6;特解的適用范圍ρ≥10~7g·cm~(-3),Bcr≤B≤10~(17)G.本文結(jié)果將有助于中子星內(nèi)部弱相互作用過程(包括修正的URCA反應(yīng)和電子俘獲)和磁星磁熱演化機(jī)理的研究.
[Abstract]:Magnetic star is a kind of neutron star which is energy supplied by magnetic field and highly magnetized. Its internal magnetic field is much higher than the quantum critical magnetic field of electron. In this paper, by introducing the stability coefficient of the electron Landau energy level, we discuss the stability of the electron Landau energy level and its influence on the electron Fermi energy E F (e) in the environment of a magnetic star. It is found that the stronger the magnetic field is, the more unstable the Landau energy level of the electron is. The largest Landau energy level series n _ (max) is smaller, and the larger the Landau energy series n is, the smaller the energy level stability coefficient is. According to the requirement that the stability coefficient g _ n of Landau energy level decreases with the increase of magnetic field, the magnetic field exponent 尾 of the expression of electron Fermi energy must be a positive number. By introducing Dirac- 未 function, the general expression of Fermi energy of relativistic electrons in super strong magnetic field is derived, and the special solution of EF (e) is modified. The new special solution gives the magnetic field index 尾 = 1 / 6, and the applicable range of the special solution is 蟻 鈮，

本文編號：2293570