We restudy the Lee-Weinberg time-evolution equation including the R-parity violation. We carefullyanalyze the intluence of the boundary conditions, equation of state, SUSY parameters, especially the R-parity violation...We restudy the Lee-Weinberg time-evolution equation including the R-parity violation. We carefullyanalyze the intluence of the boundary conditions, equation of state, SUSY parameters, especially the R-parity violation,and other factors on the time-evolution of the SUSY cold dark matter. Our numerical results show that without Rparity violation, only two ranges 20 ＜ mx01 ＜ 30 GeV and 75 ＜ mx01 ＜ 110 GeV can be consistent with data, if30 ＜ mx01 ＜ 75 GeV, there must be at least two kinds of heavy particles contributing to the cold dark matter. However,with the R-parity violation, the heavy neutralino can be dark matter constituent, but it must decay and the R-parityviolation parameter is constrained by the present data.展开更多
We approximately solve the Dirac equation for attractive radial potential including a Coulomb-like tensor interaction under pseudospin and the spin symmetry limit for any arbitrary spin-orbit quantum number, by employ...We approximately solve the Dirac equation for attractive radial potential including a Coulomb-like tensor interaction under pseudospin and the spin symmetry limit for any arbitrary spin-orbit quantum number, by employing the supersymmetric （SUSY） quantum mechanics and supersymmetric shape invariance technique. We obtain the energy eigenvalue equation under the pseudospin and spin conditions. Some numerical results are compared with those obtained by the Nikiforove-Uvarov （NU） method.展开更多
In response to the present status that searching for SUSY particles has been unsuccessful, we propose a bold scenario that SUSY particles are confined inside hadrons with a required condition of PR = 1 in analog to th...In response to the present status that searching for SUSY particles has been unsuccessful, we propose a bold scenario that SUSY particles are confined inside hadrons with a required condition of PR = 1 in analog to the color confinement for quarks. The scenario seems to be able to reconcile the beautiful SUSY theory and non-observation at present experiments. On other aspects, some loopholes in the proposal emerge and require to be answered in the future research.展开更多
Despite the absence of experimental evidence, weak scale supersymmetry remains one of the best motivated and studied Standard Model extensions. The ATLAS experiment at the LHC searches for signs of supersymmetry in a ...Despite the absence of experimental evidence, weak scale supersymmetry remains one of the best motivated and studied Standard Model extensions. The ATLAS experiment at the LHC searches for signs of supersymmetry in a large variety of signatures involving events with abnormal production of missing transverse momentum, jets, leptons, third generation fermions, gauge bosons or massive long-lived particles. A summary of the most recent results obtained in these searches is presented.展开更多
The experiment was designed, via storing potato tubers of cv. E-Potato1 and E-Potato3 indifferent temperatures, to explore the variation patterns of reducing sugar (RS) andtotal sugar (TS) contents and enzyme activiti...The experiment was designed, via storing potato tubers of cv. E-Potato1 and E-Potato3 indifferent temperatures, to explore the variation patterns of reducing sugar (RS) andtotal sugar (TS) contents and enzyme activities that are involved in the pathway ofstarch-sugar metabolism aiming at identifying the main factors that influence the chipcolor. The results showed that low temperature in storage was a main factor thataccelerated the accumulation of RS of the stored tubers and a very significant linearrelationship existed between RS content and chip color index (CCI) of the tubers. Furtheranalysis elucidated that when tubers stored at 4℃, the activities of ADP glucosepyrophosphorylase (AGPase), UDP glucose pyrophosphorylase (UGPase) and sucrose synthase(SuSy) were negatively exponential to the RS content significantly while that of acidinvertase and alkaline invertase was significantly linear to RS content. It suggestedthat these enzymes could play main roles in the cold sweetening of potato tubers throughregulating starch-sugar metabolism.展开更多
Supersymmetry (SUSY) emerged within particle physics as a means to relate two fun dame ntally different classes of elementary particles: bosons (integer spin, Bose-Einstein statistics) and fermi on sfhalfintegerspin, ...Supersymmetry (SUSY) emerged within particle physics as a means to relate two fun dame ntally different classes of elementary particles: bosons (integer spin, Bose-Einstein statistics) and fermi on sfhalfintegerspin, Fermi-Dirac statistics). Exte nsions to the Standard Model have also been proposed based on SUSY theory in order to resolve Iong-standing issues in quantum field theory, including the nature of vacuum energy, origin of mass scales and dark matter. Even though the experimental validation of SUSY is still an ongoing issue, supersymmetric/ isospectral techniques have already found applications in low-energy physics, nonrelativistic quantum mechanics, and nonlinear dynamics, to name a few. On the other hand, waveguide laser arrays have been a subject of intense investigations for the purpose of building high-power phaselocked lasers, which are immune to the detrimental effects of nonlinearities orfilamentation. Nevertheless, such systems suffer from multimode operation, which in turn leads to a chaotic emission.展开更多
We study the eigenvalues of the rotating Morse potential by using the quantization condition from the analytical transfer matrix（ATM） method.A hierarchy of supersymmetric partner potentials is obtained with Pekeris ...We study the eigenvalues of the rotating Morse potential by using the quantization condition from the analytical transfer matrix（ATM） method.A hierarchy of supersymmetric partner potentials is obtained with Pekeris approximation,which can be used to calculate the energies of higher rotational states from the energies of lower states.The energies of rotational states of the hydrogen molecule are calculated by the ATM condition,and comparison of the results with those from the hypervirial perturbation method reveals that the accuracy of the approximate expression of Pekeris for the eigenvalues of the rotating Morse potential can be improved substantially in the framework of supersymmetric quantum mechanics.展开更多
The main purpose of this article is to define the super characteristic classes on a super vector bundle over a superspace. As an application, we propose the examples of Riemann-Roch type formula. We also introduce the...The main purpose of this article is to define the super characteristic classes on a super vector bundle over a superspace. As an application, we propose the examples of Riemann-Roch type formula. We also introduce the helicity group and cohomology with respect to coefficient of the helicity group. As an application, we propose the examples of Gauss-Bonnet type formula.展开更多
The early electro weak regime as of 10-32 seconds after the big bang is where we could see the initial formation of gravitons, gravitinos and GW. What we intend to do is to look at if Mach’s principle, and a statemen...The early electro weak regime as of 10-32 seconds after the big bang is where we could see the initial formation of gravitons, gravitinos and GW. What we intend to do is to look at if Mach’s principle, and a statement of overall quantized energy state behavior of the universe can help us get hij , using initial conditions as initially presented by Mishra in 2012 we restate as . Mach’s principle was used by Mishra, and we use it to come up with conditions for a stable overall mass M contributing to GW generation/ entropy of the universe. The composition of M for gravitons would change over time from initial beginnings to the present day, but the final invariant graviton mass M we work with is a way to state initial and final numbers, N, of the constituent particles contributing to entropy of our universe. By the way of comparison this also is tied into Gravitinos, as super partners to Gravitons, as counted by N, initially, and dying out as up to the present day values. From the present, we have the Machian condition of setting, the present condition, as given by Mishra , with being the mass of a sub-system inside the universe, with N being the number of “particles”, and m being the net particle mass. We examine the consequences of Mach’s principle for the case of the mass M, contributing to GW and entropy with a case of , i.e. the total mass of the electro weak era is about the same as today’s mass, but if we look directly at the influence of SUSY physics super partners, in such a way that and there is then an equivalence between SUSY dominated early conditions and non-SUSY as equal to a constant value. i.e. if Machian physics held from early times, up to the present, it would have implications for explaining entropy, as given in, as to why it would be so much lower as of about and before the electro-weak regime than today. This leads to Equations (37)-(39) as hij values to be detected by appropriate GW detectors.展开更多
We first of all consider what if the initial inflaton was nearly zero instead of proportional to a Planck mass, in a SUSY type potential. Using the construction of Padmanabhan about general inflaton physics and the co...We first of all consider what if the initial inflaton was nearly zero instead of proportional to a Planck mass, in a SUSY type potential. Using the construction of Padmanabhan about general inflaton physics and the conditions of what are usual constituent slow roll requirements for inflation, and also of Kolb, Pi and Raby about a SUSY potential, we come up with the counter intuitive formulation of how usual tests for slow roll give the standard answers even if the inflaton in the SUSY potential as given by Kolb, Pi, and Raby is initially zero. The result gives support to a formulation of VEV conditions used right after a Planck instant of time. As it is, we will from first principles examine what adding acceleration does as to the HUP previously derived. In doing so we will be tying it in our discussion with the earlier work done on the HUP. The HUP results, so modified are appropriate for the Pre-Planckian results and may explain why the slow roll formulation as given by Padmanabhan holds where there is the phenomenon of for Pre-Planckian space-time. This leads to a very paradoxical result that in Pre-Planckian physics the traditional slow roll formulas are satisfied even if . But it also puts in extremely tight restrictions upon the formulation of the degree of freedom problem, as given in Equation (26) in this document.展开更多
文摘We restudy the Lee-Weinberg time-evolution equation including the R-parity violation. We carefullyanalyze the intluence of the boundary conditions, equation of state, SUSY parameters, especially the R-parity violation,and other factors on the time-evolution of the SUSY cold dark matter. Our numerical results show that without Rparity violation, only two ranges 20 ＜ mx01 ＜ 30 GeV and 75 ＜ mx01 ＜ 110 GeV can be consistent with data, if30 ＜ mx01 ＜ 75 GeV, there must be at least two kinds of heavy particles contributing to the cold dark matter. However,with the R-parity violation, the heavy neutralino can be dark matter constituent, but it must decay and the R-parityviolation parameter is constrained by the present data.
文摘We approximately solve the Dirac equation for attractive radial potential including a Coulomb-like tensor interaction under pseudospin and the spin symmetry limit for any arbitrary spin-orbit quantum number, by employing the supersymmetric （SUSY） quantum mechanics and supersymmetric shape invariance technique. We obtain the energy eigenvalue equation under the pseudospin and spin conditions. Some numerical results are compared with those obtained by the Nikiforove-Uvarov （NU） method.
基金Supported by the National Natural Science Foundation of China(NNSFC)under Grant Nos.11375128,11675082,11735010,and11535002
文摘In response to the present status that searching for SUSY particles has been unsuccessful, we propose a bold scenario that SUSY particles are confined inside hadrons with a required condition of PR = 1 in analog to the color confinement for quarks. The scenario seems to be able to reconcile the beautiful SUSY theory and non-observation at present experiments. On other aspects, some loopholes in the proposal emerge and require to be answered in the future research.
文摘Despite the absence of experimental evidence, weak scale supersymmetry remains one of the best motivated and studied Standard Model extensions. The ATLAS experiment at the LHC searches for signs of supersymmetry in a large variety of signatures involving events with abnormal production of missing transverse momentum, jets, leptons, third generation fermions, gauge bosons or massive long-lived particles. A summary of the most recent results obtained in these searches is presented.
基金This research was supported by the National Natural Science Foundation of China(30270842)the Key Project of 10th Five-Year Plan of Hubei Province,China.
文摘The experiment was designed, via storing potato tubers of cv. E-Potato1 and E-Potato3 indifferent temperatures, to explore the variation patterns of reducing sugar (RS) andtotal sugar (TS) contents and enzyme activities that are involved in the pathway ofstarch-sugar metabolism aiming at identifying the main factors that influence the chipcolor. The results showed that low temperature in storage was a main factor thataccelerated the accumulation of RS of the stored tubers and a very significant linearrelationship existed between RS content and chip color index (CCI) of the tubers. Furtheranalysis elucidated that when tubers stored at 4℃, the activities of ADP glucosepyrophosphorylase (AGPase), UDP glucose pyrophosphorylase (UGPase) and sucrose synthase(SuSy) were negatively exponential to the RS content significantly while that of acidinvertase and alkaline invertase was significantly linear to RS content. It suggestedthat these enzymes could play main roles in the cold sweetening of potato tubers throughregulating starch-sugar metabolism.
文摘Supersymmetry (SUSY) emerged within particle physics as a means to relate two fun dame ntally different classes of elementary particles: bosons (integer spin, Bose-Einstein statistics) and fermi on sfhalfintegerspin, Fermi-Dirac statistics). Exte nsions to the Standard Model have also been proposed based on SUSY theory in order to resolve Iong-standing issues in quantum field theory, including the nature of vacuum energy, origin of mass scales and dark matter. Even though the experimental validation of SUSY is still an ongoing issue, supersymmetric/ isospectral techniques have already found applications in low-energy physics, nonrelativistic quantum mechanics, and nonlinear dynamics, to name a few. On the other hand, waveguide laser arrays have been a subject of intense investigations for the purpose of building high-power phaselocked lasers, which are immune to the detrimental effects of nonlinearities orfilamentation. Nevertheless, such systems suffer from multimode operation, which in turn leads to a chaotic emission.
基金Project supported by the Fund from the Science and Technology Committee of Shanghai Municipality,China (Grant No. 11ZR1412300)the National Natural Science Foundation of China (Grant No. 61108010)
文摘We study the eigenvalues of the rotating Morse potential by using the quantization condition from the analytical transfer matrix（ATM） method.A hierarchy of supersymmetric partner potentials is obtained with Pekeris approximation,which can be used to calculate the energies of higher rotational states from the energies of lower states.The energies of rotational states of the hydrogen molecule are calculated by the ATM condition,and comparison of the results with those from the hypervirial perturbation method reveals that the accuracy of the approximate expression of Pekeris for the eigenvalues of the rotating Morse potential can be improved substantially in the framework of supersymmetric quantum mechanics.
文摘The main purpose of this article is to define the super characteristic classes on a super vector bundle over a superspace. As an application, we propose the examples of Riemann-Roch type formula. We also introduce the helicity group and cohomology with respect to coefficient of the helicity group. As an application, we propose the examples of Gauss-Bonnet type formula.
文摘The early electro weak regime as of 10-32 seconds after the big bang is where we could see the initial formation of gravitons, gravitinos and GW. What we intend to do is to look at if Mach’s principle, and a statement of overall quantized energy state behavior of the universe can help us get hij , using initial conditions as initially presented by Mishra in 2012 we restate as . Mach’s principle was used by Mishra, and we use it to come up with conditions for a stable overall mass M contributing to GW generation/ entropy of the universe. The composition of M for gravitons would change over time from initial beginnings to the present day, but the final invariant graviton mass M we work with is a way to state initial and final numbers, N, of the constituent particles contributing to entropy of our universe. By the way of comparison this also is tied into Gravitinos, as super partners to Gravitons, as counted by N, initially, and dying out as up to the present day values. From the present, we have the Machian condition of setting, the present condition, as given by Mishra , with being the mass of a sub-system inside the universe, with N being the number of “particles”, and m being the net particle mass. We examine the consequences of Mach’s principle for the case of the mass M, contributing to GW and entropy with a case of , i.e. the total mass of the electro weak era is about the same as today’s mass, but if we look directly at the influence of SUSY physics super partners, in such a way that and there is then an equivalence between SUSY dominated early conditions and non-SUSY as equal to a constant value. i.e. if Machian physics held from early times, up to the present, it would have implications for explaining entropy, as given in, as to why it would be so much lower as of about and before the electro-weak regime than today. This leads to Equations (37)-(39) as hij values to be detected by appropriate GW detectors.
文摘We first of all consider what if the initial inflaton was nearly zero instead of proportional to a Planck mass, in a SUSY type potential. Using the construction of Padmanabhan about general inflaton physics and the conditions of what are usual constituent slow roll requirements for inflation, and also of Kolb, Pi and Raby about a SUSY potential, we come up with the counter intuitive formulation of how usual tests for slow roll give the standard answers even if the inflaton in the SUSY potential as given by Kolb, Pi, and Raby is initially zero. The result gives support to a formulation of VEV conditions used right after a Planck instant of time. As it is, we will from first principles examine what adding acceleration does as to the HUP previously derived. In doing so we will be tying it in our discussion with the earlier work done on the HUP. The HUP results, so modified are appropriate for the Pre-Planckian results and may explain why the slow roll formulation as given by Padmanabhan holds where there is the phenomenon of for Pre-Planckian space-time. This leads to a very paradoxical result that in Pre-Planckian physics the traditional slow roll formulas are satisfied even if . But it also puts in extremely tight restrictions upon the formulation of the degree of freedom problem, as given in Equation (26) in this document.
