By using the standard PMNS (Pontecorvo-Maki-Nakagawa-Sakata) mixing matrix and applying the rule for the sum of the oscillation probabilities of three neutrinos, the equations of motion were derived in which the Dirac...By using the standard PMNS (Pontecorvo-Maki-Nakagawa-Sakata) mixing matrix and applying the rule for the sum of the oscillation probabilities of three neutrinos, the equations of motion were derived in which the Dirac CP violating phase appeared as an unknown quantity. The equations of motion were separately derived for each of the three possible transitions for flavor-neutrino oscillations. Two roots of those equations were obtained in the form of two formulas for the Dirac CP violating phase with opposite signs. In the mathematical sense, the connection between those formulas was established in order to maintain the continuous process of oscillation of three neutrinos. This made it possible to calculate the numerical value for the Dirac CP violating phase, the Jarlskog invariant and to write the general form of the PMNS mixing matrix in the final form in which all its elements are defined with explicit numerical values.展开更多
Investigating the CKM matrix in different parameterization schemes, it is noticed that those schemes can be divided into a few groups where the sine values of the CP phase for each group are approximately equal i.e. t...Investigating the CKM matrix in different parameterization schemes, it is noticed that those schemes can be divided into a few groups where the sine values of the CP phase for each group are approximately equal i.e. there exist several relations among the CP phases. Using those relations, several approximate equalities among the elements of CKM matrix are established. The case can also be generalized to the PMNS matrix for the lepton sector. Assuming them to be exact, there are infinite numbers of solutions and by choosing special values for the free parameters in those solutions, several textures presented in the literature are obtained. Other authors have derived several mixing textures by using presumed symmetries; amazingly, some, though not all, of their forms axe the same as those we obtained. This hints at the existence of a hidden symmetry which is broken in the practical world. Nature makes its own selection of the underlying symmetry and the way to break it, while we just guess what it is.展开更多
Essentially the main intention of this paper was to test the formula for the Dirac CPV phase and see if it can reflect the results of experimental measurements of neutrino parameters. By knowing the mathematical formu...Essentially the main intention of this paper was to test the formula for the Dirac CPV phase and see if it can reflect the results of experimental measurements of neutrino parameters. By knowing the mathematical formula for the Dirac CPV phase, a connection was established with some of the residual symmetry groups, which made it possible to develop a procedure for directly determining the range in which the numerical value for the Dirac CPV phase could be found. In this sense, two different sources of information containing measured data for neutrinos were used for the corresponding calculations, and then a comparative overview of the calculated results was presented. It is particularly emphasized that the formula for the Dirac CPV phase does not depend on the mixing angles that are incorporated into the PMNS matrix, but only on the ratio between the corresponding squares of the neutrino mass difference. All the numerous results obtained from the corresponding calculations for the Dirac CPV phase point to the justified introduction of the theory that is related to three neutrinos, and thus the agreement of our results with the STEREO experiment is justified, so that the hypothesis of the possible existence of a sterile neutrino in nature should be excluded.展开更多
Based on the derived equations of three neutrinos, especially for motion through a physical vacuum and for space with a constant density of matter, the same formula for Dirac’s CP-violating phase was obtained. The ma...Based on the derived equations of three neutrinos, especially for motion through a physical vacuum and for space with a constant density of matter, the same formula for Dirac’s CP-violating phase was obtained. The main property of this formula is that it does not depend on mixing angles θ<sub>12</sub>, θ<sub>13</sub>, θ<sub>23</sub> and remains unchanged for the spaces through which the neutrino beam moves. Using that formula, the final form for the Jarlskog invariant formula was formed. Knowing the Dirac CPV phase would have the following consequences: 1) By obtaining an explicit mathematical formula for the Dirac CPV phase, it would no longer be necessary to perform computer simulations to draw areas where it could be found. 2) At the same time, the Dirac CPV phase does not depend on the mixing angles θ<sub>12</sub>, θ<sub>13</sub>, θ<sub>23</sub> that make up the elements of the PMNS matrix, but depends only on the ratio of the corresponding differences of the squares of the neutrino masses.展开更多
目的:研究重组人生长激素(rhG)对有(或)无H LPS刺激的离体培养中性粒细胞(PM N s)凋亡和存活的影响。方法:采健康人外周静脉血,血浆-Percoll不连续密度梯度离心法分离出PM N s,分为4组:对照组,rhG H(100ng/m L)组,LPS100ng/m L组,LPS100...目的:研究重组人生长激素(rhG)对有(或)无H LPS刺激的离体培养中性粒细胞(PM N s)凋亡和存活的影响。方法:采健康人外周静脉血,血浆-Percoll不连续密度梯度离心法分离出PM N s,分为4组:对照组,rhG H(100ng/m L)组,LPS100ng/m L组,LPS100ng/m L刺激1h后加rhG H100ng/m L组,离体培养3h和24h上流式细胞仪检测PM N s的凋亡(A nnexin V法)。结果:无LPS刺激状态下,rhG H可引起PM N s早期凋亡率减少、存活率增加,但不影响晚期凋亡/死亡率;有LPS刺激状态下,rhG H不影响PM N s早期凋亡率、晚期凋亡/死亡率和存活率,而且可能对LPS对PM N s刺激有一定阻抑作用。结论:无LPS刺激状态下,rhG H可延迟PM N s凋亡、增强PM N s活力;与LPS共同孵育时,rhG H不影响PM N s凋亡和活力,且对LPS对PM N s的刺激有一定阻抑的作用。展开更多
文摘By using the standard PMNS (Pontecorvo-Maki-Nakagawa-Sakata) mixing matrix and applying the rule for the sum of the oscillation probabilities of three neutrinos, the equations of motion were derived in which the Dirac CP violating phase appeared as an unknown quantity. The equations of motion were separately derived for each of the three possible transitions for flavor-neutrino oscillations. Two roots of those equations were obtained in the form of two formulas for the Dirac CP violating phase with opposite signs. In the mathematical sense, the connection between those formulas was established in order to maintain the continuous process of oscillation of three neutrinos. This made it possible to calculate the numerical value for the Dirac CP violating phase, the Jarlskog invariant and to write the general form of the PMNS mixing matrix in the final form in which all its elements are defined with explicit numerical values.
基金Supported by National Natural Science Foundation of China(11375128,11135009)
文摘Investigating the CKM matrix in different parameterization schemes, it is noticed that those schemes can be divided into a few groups where the sine values of the CP phase for each group are approximately equal i.e. there exist several relations among the CP phases. Using those relations, several approximate equalities among the elements of CKM matrix are established. The case can also be generalized to the PMNS matrix for the lepton sector. Assuming them to be exact, there are infinite numbers of solutions and by choosing special values for the free parameters in those solutions, several textures presented in the literature are obtained. Other authors have derived several mixing textures by using presumed symmetries; amazingly, some, though not all, of their forms axe the same as those we obtained. This hints at the existence of a hidden symmetry which is broken in the practical world. Nature makes its own selection of the underlying symmetry and the way to break it, while we just guess what it is.
文摘Essentially the main intention of this paper was to test the formula for the Dirac CPV phase and see if it can reflect the results of experimental measurements of neutrino parameters. By knowing the mathematical formula for the Dirac CPV phase, a connection was established with some of the residual symmetry groups, which made it possible to develop a procedure for directly determining the range in which the numerical value for the Dirac CPV phase could be found. In this sense, two different sources of information containing measured data for neutrinos were used for the corresponding calculations, and then a comparative overview of the calculated results was presented. It is particularly emphasized that the formula for the Dirac CPV phase does not depend on the mixing angles that are incorporated into the PMNS matrix, but only on the ratio between the corresponding squares of the neutrino mass difference. All the numerous results obtained from the corresponding calculations for the Dirac CPV phase point to the justified introduction of the theory that is related to three neutrinos, and thus the agreement of our results with the STEREO experiment is justified, so that the hypothesis of the possible existence of a sterile neutrino in nature should be excluded.
文摘Based on the derived equations of three neutrinos, especially for motion through a physical vacuum and for space with a constant density of matter, the same formula for Dirac’s CP-violating phase was obtained. The main property of this formula is that it does not depend on mixing angles θ<sub>12</sub>, θ<sub>13</sub>, θ<sub>23</sub> and remains unchanged for the spaces through which the neutrino beam moves. Using that formula, the final form for the Jarlskog invariant formula was formed. Knowing the Dirac CPV phase would have the following consequences: 1) By obtaining an explicit mathematical formula for the Dirac CPV phase, it would no longer be necessary to perform computer simulations to draw areas where it could be found. 2) At the same time, the Dirac CPV phase does not depend on the mixing angles θ<sub>12</sub>, θ<sub>13</sub>, θ<sub>23</sub> that make up the elements of the PMNS matrix, but depends only on the ratio of the corresponding differences of the squares of the neutrino masses.
文摘目的:研究重组人生长激素(rhG)对有(或)无H LPS刺激的离体培养中性粒细胞(PM N s)凋亡和存活的影响。方法:采健康人外周静脉血,血浆-Percoll不连续密度梯度离心法分离出PM N s,分为4组:对照组,rhG H(100ng/m L)组,LPS100ng/m L组,LPS100ng/m L刺激1h后加rhG H100ng/m L组,离体培养3h和24h上流式细胞仪检测PM N s的凋亡(A nnexin V法)。结果:无LPS刺激状态下,rhG H可引起PM N s早期凋亡率减少、存活率增加,但不影响晚期凋亡/死亡率;有LPS刺激状态下,rhG H不影响PM N s早期凋亡率、晚期凋亡/死亡率和存活率,而且可能对LPS对PM N s刺激有一定阻抑作用。结论:无LPS刺激状态下,rhG H可延迟PM N s凋亡、增强PM N s活力;与LPS共同孵育时,rhG H不影响PM N s凋亡和活力,且对LPS对PM N s的刺激有一定阻抑的作用。