Dark energy in the Swampland Ⅱ

正We have recently pointed out [1] that the string swampland conjectures [2], if true, provide important constraints on dark energy models. The constraints apply to the field range of a scalar field?described by an effective field theory, and to the slope of the potential Ⅴ of such fields. Specifically, we considered the consequence of the constraint     

Isospin dependence of the nuclear binding energy

In this paper,we study the symmetry energy and the Wigner energy in the binding energy formula for atomic nuclei.We simultaneously extract the I2 symmetry energy and Wigner energy coefficients using the double difference of "experimental" symmetry-Wigner energies,based on the binding energy data of nuclei with A≥16.Our study of the triple difference formula and the "experimental" symmetry-Wigner energy suggests that the macroscopic isospin dependence of binding energies is explained well by the I2 symmetry energy and the Wigner energy,and further consideration of the I4 term in the binding energy formula does not substantially improve the calculation result.     

How particular is the physics of the free energy principle?

The free energy principle (FEP) states that any dynamical system can be interpreted as performing Bayesian inference upon its surrounding environment. Although, in theory, the FEP applies to a wide variety of systems, there has been almost no direct exploration or demonstration of the principle in concrete systems. In this work, we examine in depth the assumptions required to derive the FEP in the simplest possible set of systems – weakly-coupled non-equilibrium linear stochastic systems. Specifically, we explore (i) how general the requirements imposed on the statistical structure of a system are and (ii) how informative the FEP is about the behaviour of such systems. We discover that two requirements of the FEP – the Markov blanket condition (i.e. a statistical boundary precluding direct coupling between internal and external states) and stringent restrictions on its solenoidal flows (i.e. tendencies driving a system out of equilibrium) – are only valid for a very narrow space of parameters. Suitable systems require an absence of perception-action asymmetries that is highly unusual for living systems interacting with an environment. More importantly, we observe that a mathematically central step in the argument, connecting the behaviour of a system to variational inference, relies on an implicit equivalence between the dynamics of the average states of a system with the average of the dynamics of those states. This equivalence does not hold in general even for linear stochastic systems, since it requires an effective decoupling from the system's history of interactions. These observations are critical for evaluating the generality and applicability of the FEP and indicate the existence of significant problems of the theory in its current form. These issues make the FEP, as it stands, not straightforwardly applicable to the simple linear systems studied here and suggest that more development is needed before the theory could be applied to the kind of complex systems that describe living and cognitive processes.     

Observational constraint on the dark energy scalar field

In this paper,we study three scalar fields,namely the quintessence,phantom,and tachyon fields,to explore the source of dark energy via the Gaussian processes method from the background and perturbation growth rate data.The corresponding reconstructions suggest that the dark energy should be dynamical.Moreover,the quintom field,which is a combination of the quintessence and phantom fields,is powerfully favored by the reconstruction.The mean values indicate that the potential V(φ) in the quintessence field is a double exponential function,whereas V(φ) in the phantom field is a double Gaussian function.This reconstruction can provide an important reference for the scalar field study.The two types of data employed reveal that the tachyon field is disadvantageous for describing the cosmic acceleration.     

Is the evidence for dark energy secure?

Several kinds of astronomical observations, interpreted in the framework of the standard Friedmann–Robertson–Walker cosmology, have indicated that our universe is dominated by a Cosmological Constant. The dimming of distant Type Ia supernovae suggests that the expansion rate is accelerating, as if driven by vacuum energy, and this has been indirectly substantiated through studies of angular anisotropies in the cosmic microwave background (CMB) and of spatial correlations in the large-scale structure (LSS) of galaxies. However there is no compelling direct evidence yet for (the dynamical effects of) dark energy. The precision CMB data can be equally well fitted without dark energy if the spectrum of primordial density fluctuations is not quite scale-free and if the Hubble constant is lower globally than its locally measured value. The LSS data can also be satisfactorily fitted if there is a small component of hot dark matter, as would be provided by neutrinos of mass ∼0.5 eV. Although such an Einstein–de Sitter model cannot explain the SNe Ia Hubble diagram or the position of the “baryon acoustic oscillation” peak in the autocorrelation function of galaxies, it may be possible to do so, e.g. in an inhomogeneous Lemaitre–Tolman–Bondi cosmology where we are located in a void which is expanding faster than the average. Such alternatives may seem contrived but this must be weighed against our lack of any fundamental understanding of the inferred tiny energy scale of the dark energy. It may well be an artifact of an oversimplified cosmological model, rather than having physical reality.     

Cross sections of in the centre-of-mass energy interval 1850–2160 MeVin the centre-of-mass energy interval 1850–2160 MeV

Cross-sections for are reported in the centre-of-mass energy interval 1850–2160 MeV. The data come from a deuterium bubble chamber experiment atK ⁻ beam momenta of 1.45 and 1.65 GeV/c. Taking into account the Fermi motion of the neutron in the deuteron, this momentum range corresponds to the centre-of-mass energy interval of 1850–2160 MeV.     

The conservation of energy–momentum and the mass for the graviton

In this work we give special attention to the bimetric theory of gravitation with massive gravitons proposed by Visser in 1998. In his theory, a prior background metric is necessary to take in account the massive term. Although in the great part of the astrophysical studies the Minkowski metric is the best choice to the background metric, it is not possible to consider this metric in cosmology. In order to keep the Minkowski metric as background in this case, we suggest an interpretation of the energy–momentum conservation in Visser’s theory, which is in accordance with the equivalence principle and recovers naturally the special relativity in the absence of gravitational sources. Although we do not present a general proof of our hypothesis we show its validity in the simple case of a plane and dust-dominated universe, in which the “massive term” appears like an extra contribution for the energy density.     

A novel method to determine the FOCAL energy range

As the critical dimensions in the semiconductor industryare shrinking, fast and accurate in-situ measurements ofprojection optics aberrations of lithographic tools becomeincreasingly necessary. Focus calibration using alignmentprocedure (FOCAL) [1-4] is an important technique usedfor self-calibration[5-8] of deep-ultraviolet (DUV) litho-graphic tools[9,10]. With this technique, imaging qualityparameters, such as best focus, image tilt, field curva-ture, and so on, can be measured accurately…     

Where is the energy of slow light stored?

We analyze the energy storage process of light propagating with slow group velocity in a sample where electromagnetically induced transparency (EIT) is created by a strong coupling field. We compare the formation of slow light in EIT and in self-induced transparency (SIT). For SIT, soliton-like propagation of light with essentially reduced group velocity takes place because of the temporary storage of an appreciable part of the pulse energy in the atoms. For EIT, no energy of the probe is stored in the atoms. This energy is transformed to the coupling field and leaves the sample with phase velocity c without absorption. Slow light is formed by a low frequency coherence induced at the input by the probe and coupling fields in a two-quantum excitation process. This coherence propagates as a “spin wave” with small group velocity, and at a large distance from the input, the coherence rules the process of the energy transformation from the coupling field to the probe, reproducing exactly the temporal profile of the probe at the input.     

Binding energy and fine structure of the He- ion

The variational method using a multiconfiguration wavefunction is carried out on the core-excited state 1s2s2p 4P0 for helium negative ion,including mass polarization and relativistic corrections.Binding energy and fine structure are reported.The results are compared with other theoretical and experimental date in the literature.     

Absolute photon energy calibration for the BESⅢ EMC

The absolute energy calibration with photons from π⁰'s for the BESⅢ EMC is discussed. Using 3 million hadronic events, the preliminary results are
presented. Precision of about 1% in the photon energy measurement is
obtained from crossing check using photons in ψ(2S)→γχ_c1,2(1P).     

Binding energy and fine structure of the He^- ion

The variational method using a multiconfiguration wavefunction is carried out on the core-excited state 1s2s2p^4 p^0 for helium negative ion, including mass polarization and relativistic eorreetions. Binding energy and fine structure are reported. The results are compared with other theoretical and experimental date in the literature.     

Absolute photon energy calibration for the BESⅢ EMC

The absolute energy calibration with photons from π0＇s for the BESⅢ EMC is discussed. Using 3 million hadronic events, the preliminary results are presented. Precision of about 1% in the photon energy measurement is obtained from crossing check using photons in ψ（2S）→γχc1,2（1P）.     

What is the effective stress energy of particles created from the vacuum?

When spontaneous particle creation occurs in a strong gravitational field, it seems clear on physical grounds that the particle creation must back-react on the gravitation field. It is generally believed that in the semiclassical approximation this effect can be described by assigning an effective stress energy to the created particles, which acts as a source of the gravitational field via Einstein's equation. In this essay, I discuss an axiomatic approach for determining the renormalized value of this effective stress energy.This essay was awarded the third prize for 1977 by the Gravity Research Foundation.     

Dark energy and the Rutherford–Soddy radiative decay law

It is shown that a putative evolution of the fundamental couplings of strong and weak interactions via coupling to dark energy through a generalized Bekenstein-type model may, for a linear model of variation, cause deviations on the statistical nuclear decay Rutherford–Soddy law unless bounds are imposed on the parameters of this variation. Existing bounds for the weak interaction exclude any significant deviation. Bounds on the strong interaction are much less stringent.     

Working principles of the energy measurement system at BEPCⅡ

The proposed beam energy measurement system at BEPCⅡ is composed     

A systematic study on the binding energy of Λ hypernuclei

We calculate the binding energy per baryon of the Λ hypernuclei systematically, using the relativistic mean field theory (RMF) in a static frame. Some similar properties are found for most of the Λ hypernuclei confirmed by experiments. The data show that a Λ hypernucleus will be more stable if it is made by adding a Λ hyperon to a stable normal nuclear core, or by replacing a neutron by a Λ hyperon to a stable normal nuclear core. According to our calculations, the existence of some new Λ hypernuclei are predicted under the frame of RMF.