## 2020 Vol. 44, No. 12

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2020, 44(12): 123001. doi: 10.1088/1674-1137/abb4d8

**Abstract:**

The Circular Electron Positron Collider (CEPC), proposed as a future Higgs boson factory, will operate at a center-of-mass energy of 240 GeV and will accumulate 5.6 ab

^{−1}of integrated luminosity in 7 years. In this study, we estimate the upper limit of BR(

2020, 44(12): 123101. doi: 10.1088/1674-1137/abb4c8

**Abstract:**

We calculate the spinor helicity amplitudes of anomalous

2020, 44(12): 123102. doi: 10.1088/1674-1137/abb4cb

**Abstract:**

It is believed that there are more fundamental gauge symmetries beyond those described by the Standard Model of particle physics. The scales of these new gauge symmetries are usually too high to be reachable by particle colliders. Considering that the phase transition (PT) relating to the spontaneous breaking of new gauge symmetries to the electroweak symmetry might be strongly first order, we propose considering the stochastic gravitational waves (GW) arising from this phase transition as an indirect way of detecting these new fundamental gauge symmetries. As an illustration, we explore the possibility of detecting the stochastic GW generated from the PT of

2020, 44(12): 123103. doi: 10.1088/1674-1137/abb4cc

**Abstract:**

In this work, we propose the possible assignment of the newly observed

2020, 44(12): 123104. doi: 10.1088/1674-1137/abb4ce

**Abstract:**

Motivated by the problem of expanding the single-trace tree-level amplitude of Einstein-Yang-Mills theory to the BCJ basis of Yang-Mills amplitudes, we present an alternative expansion formula in gauge invariant vector space. Starting from a generic vector space consisting of polynomials of momenta and polarization vectors, we define a new sub-space as a gauge invariant vector space by imposing constraints on the gauge invariant conditions. To characterize this sub-space, we compute its dimension and construct an explicit gauge invariant basis from it. We propose an expansion formula in this gauge invariant basis with expansion coefficients being linear combinations of the Yang-Mills amplitude, manifesting the gauge invariance of both the expansion basis and coefficients. With the help of quivers, we compute the expansion coefficients via differential operators and demonstrate the general expansion algorithm using several examples.

2020, 44(12): 123105. doi: 10.1088/1674-1137/abb4d2

**Abstract:**

Vector boson scattering at the Large Hadron Collider (LHC) is sensitive to anomalous quartic gauge couplings (aQGCs). In this study, we investigate the aQGC contribution to

2020, 44(12): 123106. doi: 10.1088/1674-1137/abb6df

**Abstract:**

In this paper, we summarize the existing methods of solving the evolution equation of the leading-twist

2020, 44(12): 124001. doi: 10.1088/1674-1137/abb4d3

**Abstract:**

The cross sections for the

^{94}Zr(

*n*,

*d**)

^{93m+g}Y,

^{96}Zr(

*n*,γ)

^{97}Z,

^{96}Zr(

*n*,2

*n*)

^{95}Zr,

^{90}Zr(

*n*,α)

^{87m}Sr,

^{94}Zr(

*n*,α)

^{91}Sr,

^{90}Zr(

*n*,

*p*)

^{90m}Y,

^{92}Zr(

*n*,

*p*)

^{92}Y, and

^{94}Zr(

*n*,

*p*)

^{94}Y reactions have been measured in the neutron energy range of 13.5-14.8 MeV by means of the activation technique. The neutrons were produced via the D-T reaction. A high-purity germanium detector with high energy resolution was used to measure the induced γ activities. In combination with the nuclear reaction theoretical models, the excitation curves of the above-mentioned eight nuclear reactions within the incident neutron energy range from the threshold to 20 MeV were obtained by adopting the nuclear theoretical model program system Talys-1.9. The resulting experimental cross sections were analyzed and compared with the experimental data from published studies. Calculations were performed using Talys-1.9 and are in agreement with our experimental results, previous experimental values, as well as results of the theoretical excitation curves at the corresponding energies. The theoretical excitation curves generally match the experimental data well.

2020, 44(12): 124101. doi: 10.1088/1674-1137/abb4ca

**Abstract:**

The atomic mass table presents zones where the structure of the states changes rapidly as a function of the neutron or proton number. Among them, notable examples are the

*A*≈ 100 Zr region, the Pb region around the neutron midshell (N = 104), and the

*N*≈ 90 rare-earth region. The observed phenomena can be understood in terms of either shape coexistence or quantum phase transitions. The objective of this study is to find an observable that can distinguish between both shape coexistence and quantum phase transitions. As an observable to be analyzed, we selected the two-neutron transfer intensity between the 0

^{+}states in the parent and daughter nuclei. The framework used for this study is the Interacting Boson Model (IBM), including its version with configuration mixing (IBM-CM). To generate wave functions of isotope chains of interest needed for calculating transfer intensities, previous systematic studies using IBM and IBM-CM were used without changing the parameters. The results of two-neutron transfer intensities are presented for Zr, Hg, and Pt isotopic chains using IBM-CM. Moreover, for Zr, Pt, and Sm isotopic chains, the results are presented using IBM with only a single configuration, i.e., without using configuration mixing. For Zr, the two-neutron transfer intensities between the ground states provide a clear observable, indicating that normal and intruder configurations coexist in the low-lying spectrum and cross at

*A*= 98 → 100. This can help clarify whether shape coexistence induces a given quantum phase transition. For Pt, in which shape coexistence is present and the regular and intruder configurations cross for the ground state, there is almost no impact on the value of the two-neutron transfer intensity. Similar is the situation with Hg, where the ground state always has a regular nature. For the Sm isotope chain, which is one of the quantum phase transition paradigms, the value of the two-neutron transfer intensity is affected strongly.

2020, 44(12): 124102. doi: 10.1088/1674-1137/abb4cf

**Abstract:**

Half-lives of

*α*decay for

*Z*≥ 84 nuclei are calculated based on the WKB theory applied for a phenomenological potential barrier composed of a centrifugal contribution and a screened electrostatic interaction represented by a Hulthen potential. For favored decays, the model has a single adjustable parameter associated with the screening of the electrostatic potential. The description of half lives for unfavored decays requires an additional hindrance term. A good agreement with experimental data is obtained in all considered cases. The evolution of the screening parameter for each nucleus revealed its dependence on shell filling. The model is also used for theoretical predictions on a few nuclei with uncertain or incomplete decay information.

2020, 44(12): 124103. doi: 10.1088/1674-1137/abb4d0

**Abstract:**

We construct a new global optical model potential to describe the elastic scattering of

^{12}C. The experimental data of elastic-scattering angular distributions and total reaction cross sections for targets from

^{24}Mg to

^{209}Bi are considered below 200 MeV within the framework of the optical model. The results calculated using the derived global optical potential are then compared with the existing experimental data. The reliability of the global optical potential is further tested by predicting the elastic scattering data out of the mass and energy ranges, within which the global potential parameters are determined, and reasonable results are also obtained.

2020, 44(12): 124104. doi: 10.1088/1674-1137/abb4d1

**Abstract:**

Using bare Argonne V4' (AV4'), V6' (AV6'), and V8' (AV8') nucleon–nucleon (

*p*2

*h*) excitations of nucleon pairs, where the two nucleons with a large relative momentum are regarded as a high-momentum (HM) pair. With increasing 2

*p*2

*h*configurations, the total energy per particle of the neutron matter is well-converged under this UCOM+HM framework. Comparing the results calculated with AV4', AV6', and AV8'

2020, 44(12): 124105. doi: 10.1088/1674-1137/abb4d4

**Abstract:**

Scrupulous theoretical study of

^{8}Be nucleus states, both clustered and non-clustered, is performed over a wide range of excitation energies. The quantities that characterize the degree of the alpha-clustering of these states, i.e., spectroscopic factors, cluster form factors, and alpha-decay widths, are computed in the framework of the developed accurate ab initio approach. Other basic properties of the

^{8}Be spectrum, including the binding and excitation energies and the mean values of the isospin, are calculated simultaneously. In the majority of instances, the results of the computation turn out to be in good agreement with the spectroscopic data. A number of predictions are made, and corresponding verification experiments are proposed. Prospects of the developed approach for nuclear spectroscopy are demonstrated.

2020, 44(12): 124106. doi: 10.1088/1674-1137/abb4d7

**Abstract:**

By adopting the adiabatic assumption in the cooling process, we discuss a novel mechanism of

2020, 44(12): 124107. doi: 10.1088/1674-1137/abb657

**Abstract:**

Fragment production in spallation reactions yields key infrastructure data for various applications. Based on the empirical SPACS parameterizations, a Bayesian-neural-network (BNN) approach is established to predict the fragment cross sections in proton-induced spallation reactions. A systematic investigation has been performed for the measured proton-induced spallation reactions of systems ranging from intermediate to heavy nuclei systems and incident energies ranging from 168 MeV/u to 1500 MeV/u. By learning the residuals between the experimental measurements and SPACS predictions, it is found that the BNN-predicted results are in good agreement with the measured results. The established method is suggested to benefit the related research on nuclear astrophysics, nuclear radioactive beam sources, accelerator driven systems, proton therapy, etc.

2020, 44(12): 124108. doi: 10.1088/1674-1137/abba13

**Abstract:**

In this work, the characteristics of

2020, 44(12): 124109. doi: 10.1088/1674-1137/abbb83

**Abstract:**

Weakly bound states often occur in nuclear physics. To precisely understand their properties, the coupling to the continuum should be worked out explicitly. As the first step, we use a simple nuclear model in the continuum and on a lattice to investigate the influence of a third particle on a loosely bound state of a particle and a heavy core. Our approach is consistent with the Lüscher formalism.

2020, 44(12): 125001. doi: 10.1088/1674-1137/abb658

**Abstract:**

We report the dark matter search results obtained using the full 132 ton·day exposure of the PandaX-II experiment, including all data from March 2016 to August 2018. No significant excess of events is identified above the expected background. Upper limits are set on the spin-independent dark matter-nucleon interactions. The lowest 90% confidence level exclusion on the spin-independent cross section is 2.2 × 10

^{−46}cm

^{2}at a WIMP mass of 30 GeV/c

^{2}.

2020, 44(12): 125101. doi: 10.1088/1674-1137/abb4c9

**Abstract:**

Recently, the non-trivial solutions for 4-dimensional black holes of Einstein-Gauss-Bonnet gravity had been discovered. In this paper, considering a charged particle entering into a 4-dimensional Gauss-Bonnet-Maxwell black hole, we calculate the black hole thermodynamic properties using the Hamilton-Jacobi equation. In the normal phase space, the cosmological constant and Gauss-Bonnet parameter are fixed, the black hole satisfies the first and second laws of thermodynamics, and the weak cosmic censorship conjecture (WCCC) is valid. On the other hand, in the case of extended phase space, the cosmological constant and Gauss-Bonnet parameter are treated as thermodynamic variables. The black hole also satisfies the first law of thermodynamics. However, the increase or decrease in the black hole's entropy depends on some specific conditions. Finally, we observe that the WCCC is violated for the near-extremal black holes in the extended phase space.

2020, 44(12): 125102. doi: 10.1088/1674-1137/abb4cd

**Abstract:**

To solve the cosmological constant fine tuning problem, we investigate an

2020, 44(12): 125103. doi: 10.1088/1674-1137/abb4d5

**Abstract:**

Global symmetry can guarantee the stability of dark matter particles (DMps). However, the nonminimal coupling between dark matter (DM) and gravity can break the global symmetry of DMps, which in turn leads to their decay. Under the framework of nonminimal coupling between scalar singlet dark matter (ssDM) and gravity, it is worth exploring the extent to which the symmetry of ssDM is broken. It is suggested that the total number of decay products of ssDM cannot exceed current observational constraints. Along these lines, the data obtained with satellites such as Fermi-LAT and AMS-02 suggest that the scale of ssDM global symmetry breaking can be limited. Because the mass of many promising DM candidates is likely to be in the GeV-TeV range, we determine reasonable parameters for the ssDM lifetime within this range. We find that when the mass of ssDM is around the electroweak scale (246 GeV), the corresponding 3

2020, 44(12): 125104. doi: 10.1088/1674-1137/abb4d6

**Abstract:**

According to a corrected dispersion relation proposed in the study on the string theory and quantum gravity theory, the Rarita-Schwinger equation was precisely modified, which resulted in the Rarita-Schwinger-Hamilton-Jacobi equation. Using this equation, the characteristics of arbitrary spin fermion quantum tunneling radiation from non-stationary Kerr-de Sitter black holes were determined. A number of accurately corrected physical quantities, such as surface gravity, chemical potential, tunneling probability, and Hawking temperature, which describe the properties of black holes, were derived. This research has enriched the research methods and enabled increased precision in black hole physics research.

2020, 44(12): 125105. doi: 10.1088/1674-1137/abb532

**Abstract:**

We study light rays in the static and spherically symmetric gravitational field of the null aether theory (NAT). To this end, we employ the Gauss-Bonnet theorem to compute the deflection angle formed by a NAT black hole in the weak limit approximation. Using the optical metrics of the NAT black hole, we first obtain the Gaussian curvature and then calculate the leading terms of the deflection angle. Our calculations indicate how gravitational lensing is affected by the NAT field. We also illustrate that the bending of light stems from global and topological effects.

2020, 44(12): 125106. doi: 10.1088/1674-1137/abb656

**Abstract:**

We investigated the tendency in the variations of CFT

_{2}when a rotating AdS

_{3}black hole changes because of the fluxes transferred by the scattering of a massive scalar field according to the anti-de Sitter (AdS)/conformal field theory (CFT) correspondence. The conserved quantities of the black hole are definitely constrained by the extremal condition. Moreover, the laws of thermodynamics provide a direction for the changes in the conserved quantities. Therefore, the black hole cannot be extremal under the scattering; this is naturally preferred. According to the relationship between the rotating AdS

_{3}black hole and dual CFT

_{2}, we find that such changes in the black hole constrain the

**variations in the eigenstates of dual CFT**

_{2}. Furthermore, the tendency in the variations is closely related to the laws of thermodynamics.

**ISSN** 1674-1137 **CN** 11-5641/O4

Original research articles, Ietters and reviews Covering theory and experiments in the fieids of

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- Cosmology

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