本文選題：He原子 + Li~+離子　； 參考：《河南師范大學(xué)》2016年博士論文

【摘要】：氦原子作為最簡(jiǎn)單的多電子原子體系,是精密測(cè)量物理的重要研究體系,其原子結(jié)構(gòu)的理論計(jì)算和躍遷光譜的實(shí)驗(yàn)測(cè)量在發(fā)展多電子原子結(jié)構(gòu)理論、確定基本物理常數(shù)和提取原子核信息等方面有重要應(yīng)用。極化率反映了原子在外場(chǎng)中的響應(yīng)性質(zhì),氦原子的極化率在精密光譜測(cè)量中的Ac/Dc斯塔克頻移分析中有著重要的應(yīng)用。在某特定波長(zhǎng)的外場(chǎng)下,量子態(tài)/量子躍遷感受的Ac斯塔克頻移為零時(shí)的光波長(zhǎng)稱為幻零波長(zhǎng)/魔幻波長(zhǎng),其在原子冷卻囚禁、躍遷矩陣元的精確確定、以及量子電動(dòng)力學(xué)理論檢驗(yàn)等方面有著全新的應(yīng)用。例如,氦原子2 3S態(tài)413 nm幻零波長(zhǎng)的理論計(jì)算和實(shí)驗(yàn)測(cè)量相結(jié)合可以從非能量角度檢驗(yàn)量子電動(dòng)力學(xué)(QED)理論;另外,利用氦原子2 1S→23S躍遷的319.8 nm的魔幻波長(zhǎng)阱囚禁氦原子,有望提高原子核電荷半徑的測(cè)量精度。本文自主發(fā)展了基于B-樣條函數(shù)的組態(tài)相互作用(CI)計(jì)算程序,實(shí)現(xiàn)了大規(guī)模的并行計(jì)算,提高了能級(jí)、波函數(shù)和躍遷矩陣元的理論預(yù)言精度,提供了可靠的極化率、幻零波長(zhǎng)和魔幻波長(zhǎng)的理論計(jì)算結(jié)果。具體內(nèi)容包括:(1)在非相對(duì)論框架下,計(jì)算了氦原子2 3S、3 3S、2 3P和3 3P態(tài)長(zhǎng)度、速度和加速度規(guī)范下的靜電偶極極化率,其中長(zhǎng)度和速度規(guī)范下極化率的符合程度達(dá)到10-7;確定了氦原子一系列處在可見(jiàn)光和紅外波段的幻零波長(zhǎng)和魔幻波長(zhǎng),其中氦原子2 3S態(tài)的413 nm幻零波長(zhǎng)B-樣條計(jì)算結(jié)果為413.038 28(3)nm,改善了此前Mitroy和Tang的半經(jīng)驗(yàn)計(jì)算結(jié)果,且給出4He、3He情況下該幻零波長(zhǎng)的結(jié)果分別為413.139 19(2)nm和413.172 22(2)nm;另外我們發(fā)現(xiàn)氦原子2 3S→33P躍遷的1066nm魔幻波長(zhǎng)可用來(lái)確定(2 3S→23P)/(33P→63S)躍遷矩陣元比值,該方法可應(yīng)用到末態(tài)為高激發(fā)態(tài)的矩陣元測(cè)量中。(2)在相對(duì)論框架下,采用包含Breit相互作用的CI方法,詳細(xì)分析了有限核質(zhì)量效應(yīng)和相對(duì)論效應(yīng)對(duì)氦原子2 3S1態(tài)413 nm幻零波長(zhǎng)的影響,給出該波長(zhǎng)的B-樣條理論計(jì)算結(jié)果為413.085 9(4)nm(MJ=1),將理論計(jì)算和實(shí)驗(yàn)測(cè)量的相對(duì)誤差減小到19 ppm;同時(shí)計(jì)算了氦原子雙重禁戒躍遷2 1S0→23S1(MJ=1)的一系列可見(jiàn)光波段的魔幻波長(zhǎng),改進(jìn)了此前的半經(jīng)驗(yàn)計(jì)算,提供了更為可靠的魔幻波長(zhǎng)理論預(yù)言值。(3)考慮了有限核質(zhì)量效應(yīng)和相對(duì)論效應(yīng)對(duì)氦原子能級(jí)、極化率、魔幻波長(zhǎng)和幻零波長(zhǎng)的影響后,進(jìn)一步我們考慮QED修正。首先用B-樣條非相對(duì)論CI方法計(jì)算氦原子能量的QED修正領(lǐng)頭項(xiàng)中的貝特對(duì)數(shù)項(xiàng)(Bethe logarithm),給出了n 3S(n=2-9)態(tài)加速度規(guī)范下的B-樣條計(jì)算結(jié)果,其中n3S(n=2-5)態(tài)貝特對(duì)數(shù)項(xiàng)的相對(duì)不確定度為10-7到10-8。(4)我們將自主發(fā)展的基于B-樣條函數(shù)的組態(tài)相互作用計(jì)算程序推廣到類氦離子體系的計(jì)算中,計(jì)算了Li+離子2 3S、3 3S、2 3P和3 3P態(tài)的極化率,確定了一系列幻零波長(zhǎng)和魔幻波長(zhǎng),這些波長(zhǎng)大部分處在可見(jiàn)光和紫外波段;同時(shí),我們考慮了有限核質(zhì)量效應(yīng)對(duì)6Li+和7Li+的能級(jí)、振子強(qiáng)度、極化率、幻零波長(zhǎng)和魔幻波長(zhǎng)的影響。Li+離子幻零波長(zhǎng)和魔幻波長(zhǎng)的計(jì)算為實(shí)驗(yàn)上囚禁Li+離子、分析Ac/Dc斯塔克頻移提供了可靠的理論輸入值。
[Abstract]:As the simplest multi electron atom system, helium atom is an important research system for precision measurement of physics. The theoretical calculation of atomic structure and the experimental measurement of transition spectra have important applications in the development of the theory of multi electron atomic structure, the determination of the basic physical constants and the extraction of nuclear information. The polarizability reflects the atom in the field. The polarizability of the helium atom has an important application in the Ac/Dc frequency shift analysis of the precision spectrometric measurement. Under a specific wavelength, the frequency of the quantum state / quantum transition from the Ac stark frequency shift to zero is called the magic zero wavelength / Magic wavelength, which is accurate in the atom cooling and the transition matrix element. There are new applications in determining the theory of quantum electrodynamics. For example, the theoretical calculation of the 413 nm phantom zero wavelengths of the 2 3S state of helium atom and the experimental measurement can be used to test the theory of quantum electrodynamics (QED) from the non energy angle. In addition, the helium atom is imprisoned by the magic wavelength well of 319.8 nm of the helium atom 2 1S to 23S transition, and the helium atom is imprisoned by the magic wavelength well of the 319.8 nm of the helium atom. It is expected to improve the measurement accuracy of the radius of the nuclear charge. In this paper, the configuration interaction (CI) calculation program based on B- spline function is developed, and a large scale parallel calculation is realized. The theoretical prediction accuracy of the energy level, wave function and transition matrix element is improved, and a theoretical calculation junction of a reliable polarizability, a magic zero wavelength and a magic wavelength is provided. The specific contents include: (1) under the non relativistic framework, the dipolar polarizability of the helium atom 2 3S, 3 3S, 2 3P and 3 3P States is calculated under the specification of the length, velocity and acceleration, in which the coincidence of the polarizability of the length and velocity is up to 10-7, and a series of illusory zero wavelengths and magic in the visible and infrared wavelengths of helium atoms are determined. Wavelengths, in which the 413 nm phantom zero wavelength B- spline of the helium atom 2 3S state is calculated to be 413.03828 (3) nm, improves the previous semi empirical results of Mitroy and Tang, and gives the results of the 4He, 3He under the circumstances of 413.13919 (2) nm and 413.17222 (2) NM respectively. In addition, we find the magic wavelengths of the 2 3S to 33P transition of the helium atom 2 3S. It can be used to determine the ratio of (2 3S to 23P) / (33P to 63S) transition matrix element. This method can be applied to the matrix meta measurement of the high excited state. (2) under the relativistic framework, the effect of the finite nucleus mass effect and the relativistic effect on the illusions of the 413 nm in the 2 3S1 state of the helium atom is analyzed in detail. The effect of the finite nucleus mass effect and the relativistic effect on the 413 nm illusions of the helium atom is analyzed in detail. The theoretical calculation results of B- spline of this wavelength are 413.0859 (4) nm (MJ=1), the relative error of theoretical calculation and experimental measurement is reduced to 19 ppm, and the magic wavelengths of a series of visible light bands of the helium atom double forbidden transition 2 1S0 to 23S1 (MJ=1) are calculated, and the previous semi empirical calculations have been improved and a more reliable magic wavelength theory is provided. 3. (3) considering the effect of the finite nucleus mass effect and the relativistic effect on the helium atomic energy level, the polarizability, the magic wavelength and the illusory zero wavelengths, we further consider the QED correction. First, we use the B- spline non relativistic CI method to calculate the Beit logarithm term (Bethe logarithm) in the QED corrected collar of helium atomic energy, and give the n 3S (n=2). The results of B- spline calculation under -9 state acceleration, in which the relative uncertainty of the n3S (n=2-5) state Bate logarithm term is 10-7 to 10-8. (4), we generalize the self developed configuration interaction calculation program based on B- spline function to the calculation of helium like system, and calculate the polarizability of Li+ ions 2 3S, 3 3S, 2 3P and 3 3P states. A series of illusory zero wavelengths and magic wavelengths, most of which are in visible and ultraviolet wavelengths, and we consider the effects of the finite nuclear mass effect on the levels of 6Li+ and 7Li+, the intensity of the oscillator, the polarizability, the magic zero wavelength and the magic wavelength, and the calculation of the Li+ ion and the magic wavelengths of the.Li+ ions in the experiment, and the analysis of the A C/Dc stark frequency shift provides a reliable theoretical input value.

【學(xué)位授予單位】：河南師范大學(xué)
【學(xué)位級(jí)別】：博士
【學(xué)位授予年份】：2016
【分類號(hào)】：O562

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