Reliable calculations of nuclear binding energies by the Gaussian process of machine learning

Reliable calculations of nuclear binding energies are crucial for advancing the research of nuclear physics. Machine learning provides an innovative approach to exploring complex physical problems. In this study, the nuclear binding energies are modeled directly using a machine-learning method called the Gaussian process. First, the binding energies for 2238 nuclei with Z > 20 and N > 20 are calculated using the Gaussian process in a physically motivated feature space, yielding an average deviation of 0.046 MeV and a standard deviation of 0.066 MeV. The results show the good learning ability of the Gaussian process in the studies of binding energies. Then, the predictive power of the Gaussian process is studied by calculating the binding energies for 108 nuclei newly included in AME2020. The theoretical results are in good agreement with the experimental data, reflecting the good predictive power of the Gaussian process. Moreover, the α-decay energies for 1169 nuclei with 50 ≤ Z ≤ 110 are derived from the theoretical binding energies calculated using the Gaussian process. The average deviation and the standard deviation are, respectively, 0.047 MeV and 0.070 MeV. Noticeably, the calculated α-decay energies for the two new isotopes ^ (204 )Ac(Huang et al. Phys Lett B 834, 137484(2022)) and ^ (207) Th(Yang et al. Phys Rev C 105, L051302(2022)) agree well with the latest experimental data. These results demonstrate that the Gaussian process is reliable for the calculations of nuclear binding energies. Finally, the α-decay properties of some unknown actinide nuclei are predicted using the Gaussian process. The predicted results can be useful guides for future research on binding energies and α-decay properties.

Effect of Nuclear Binding Energy to K Factor

We modify the square of virtual photon four-momentum by using nuclear binding energy formula, and calculate the effect of nuclear binding energy to K factor and Compton subprocess and annihilate subprocess in A-A collision Drell-Yan process. The outcome indicates that the effect of nuclear binding energy to K factor is obvious in little x region and it would disappear gradually as x increases.

Investigation of Nuclear Binding Energy and Charge Radius Based on Random Forest Algorithm

The random forest algorithm was applied to study the nuclear binding energy and charge radius.The regularized root-mean-square of error(RMSE)was proposed to avoid overfitting during the training of random forest.RMSE for nuclides with Z,N>7 is reduced to 0.816 MeV and 0.0200 fm compared with the six-term liquid drop model and a three-term nuclear charge radius formula,respectively.Specific interest is in the possible(sub)shells among the superheavy region,which is important for searching for new elements and the island of stability.The significance of shell features estimated by the so-called shapely additive explanation method suggests(Z,N)=(92,142)and(98,156)as possible subshells indicated by the binding energy.Because the present observed data is far from the N=184 shell,which is suggested by mean-field investigations,its shell effect is not predicted based on present training.The significance analysis of the nuclear charge radius suggests Z=92 and N=136 as possible subshells.The effect is verified by the shell-corrected nuclear charge radius model.

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.

Clinical and genetic characteristics of a child with Sotos syndrome and attention-deficit/hyperactivity disorder:A case report

BACKGROUND Sotos syndrome is an autosomal dominant disorder,whereas attention-deficit/hyperactivity disorder(ADHD)is a neurodevelopmental condition.This report aimed to summarize the clinical and genetic features of a pediatric case of Soros syndrome and ADHD in a child exhibiting precocious puberty.CASE SUMMARY The patient presented with accelerated growth and advanced skeletal maturation;however,she lacked any distinct facial characteristics related to specific genetic disorders.Genetic analyses revealed a paternally inherited heterozygous synonymous mutation[c.4605C>T(p.Arg1535Arg)].Functional analyses suggested that this mutation may disrupt splicing,and bioinformatics analyses predicted that this mutation was likely pathogenic.After an initial diagnosis of Sotos syndrome,the patient was diagnosed with ADHD during the follow-up period at the age of 8 years and 7 months.CONCLUSION The potential for comorbid ADHD in Sotos syndrome patients should be considered to avoid the risk of a missed diagnosis.

Inflammatory Mechanism of Total Flavonoids of Chrysanthemum and Medicated Serum on Castrated Dry Eye Animal and Cell Models

Objective To observe the effects of total flavonoids of chrysanthemum and medicated serum on the expression of related proteins in the lacrimal tissue and dry-eye cell models of male rabbits with dry eye caused by castration.Methods(1)150 male Japanese rabbits were randomly divided into five groups,with 30 rabbits in each group:normal control group(group A),sham group(group B),model group(group C),androgen control group(group D)and total flavonoids of chrysanthemum treatment group(group E).The androgen deficiency dry-eye model was established by bilateral castration in groups C,D and E.Normal saline was administered to groups A,B and C by gavage;androgen(testosterone propionate)was injected into muscle in group D;and group E was given total flavonoids of chrysanthemum by gavage.All white rabbits were tested the Schirmer I test(SIT)and tear break-up time(BUT).After euthanasia,tear gland tissue was harvested so that we could observe pathological changes in the expression of related inflammatory factors in the lacrimal gland tissue.The expression of interleukin-1β(IL-1β),tumor necrosis factor-α(TNF-α)and transforming growth factor-β1(TGF-β1)was detected in the lacrimal gland tissue by immunohistochemistry.Reverse transcription PCR was used to quantitatively detect expression of TGF-β1 mRNA.(2)Male Wistar rat lacrimal epithelial cells were used to establish a model of eye stem cell apoptosis caused by androgen levels.The blank control group was set up without androgen culture,the control group with androgen culture,and the total flavonoids of chrysanthemum group without androgen.The MTT method was used to determine the optimal intervention dosage of drug-containing plasma.Western blot and QPCR were used to detect the expression of AR mRNA,NF-κB phosphorylated protein and TGF-β1 in lacrimal epithelial cells,and the androgen-like effect of total flavonoids of chrysanthemum was observed.Results(1)Immunohistochemistry showed that groups A,B,D and E had significantly lower expression of IL-1βand TNF-αthan group C(P<0.05);among these,group E had slightly higher expression than group D(P>0.05).RT-PCR results showed that the relative expression of TGF-β1 mRNA in groups A,B,D and E was significantly higher than in group C(P<0.05),and the relative expression of TGF-β1 mRNA in groups D and E was higher than that in groups A and B(P<0.05).(2)Using the MTT method,the final concentration of interfering cells was calculated to be 13.2%.The expression of AR protein,NF-κB and TGF-β1 in the chrysanthemum flavonoid plasma intervention and testosterone propionate intervention groups was enhanced,and there were significant differences relative to the blank group(P<0.01).The expression level of NF-κB in the total flavonoid containing plasma intervention group was lower than that in the testosterone propionate intervention group(P<0.01).Conclusions The total flavonoids of chrysanthemum can inhibit IL-1βand TNF-αexpression in the lacrimal gland tissue of castrated male rabbits with dry eye to increase synthesis of TGF-β1 mRNA and TGF-β1,thereby inhibiting the inflammatory response.The medicated plasma with total flavonoids of chrysanthemum promotes expression of AR mRNA,upregulating expression of NF-κB,further promoting upregulation of TGF-β1 protein expression in lacrimal epithelial cells,inhibiting inflammation by regulating related proteins,and ultimately alleviating the symptoms of dry eye.

Characterization of Adapter Protein NRBP as a Negative Regulator of T Cell Activation

Adapter proteins can regulate the gene transcriptions in disparate signaling pathway by interacting with multiple signaling molecules, including T cell activation signaling. Nuclear receptor binding protein （NRBP）, a novel adapter protein, represents a small family of evolutionarily conserved proteins with homologs in Caenorhabditis elegans （C. elegans）, Drosophila melanogaster （i）. melanogaster）, mouse and human. Here, we demonstrated that overexpression of NRBP in Jurkat TAg cells specifically impairs T cell receptor （TCR） or phorbol myristate acetate （PMA） /ionomycin-mediated signaling leading to nuclear factor of activated T cells （NFAT） promoter activation. Furthermore, the N-terminal of NRBP is necessary for its regulation of NFAT activation. Finally, we showed that NRBP has minimal effect on both TCR- and PMA-induced CD69 up-regulation in Jurkat TAg cells, which suggests that NRBP may function downstream of protein kinase C （PKC） /Ras pathway.