Pub Date : 2024-07-09DOI: 10.25073/2588-1124/vnumap.4906
Le Thi Tam, Vu Dao Kien, Ta Quoc Tuan, Le Van Toan, Pham Thi Mai Phuong, Pham Hung Vuong
In this study, strontium substituted hydroxyapatite (SrHA) was successfully deposited onto etched titanium substrates in H2SO4 and HCl solution. The deposition was achieved by hydrothermal method by immersing the substrates in a solution containing Ca(NO3)2.4H2O, NH4H2PO4, and 5% Sr(NO3)2, followed by heating at 200°C for 12 hours. X-ray diffraction (XRD) analysis confirmed that all SrHA coatings exhibited a crystalline hydroxyapatite structure. Field-emission scanning electron microscopy (FE-SEM) revealed that the microstructure of the SrHA coatings exhibited. Bioactivity and in vitro biocompatibility testing of the SrHA-coated titanium substrates using SBF solution and baby hamster kidney (BHK) cells demonstrated positive results.
{"title":"Synthesis of Strontium Substituted Hydroxyapatite Coating on Titanium Via Hydrothermal Method","authors":"Le Thi Tam, Vu Dao Kien, Ta Quoc Tuan, Le Van Toan, Pham Thi Mai Phuong, Pham Hung Vuong","doi":"10.25073/2588-1124/vnumap.4906","DOIUrl":"https://doi.org/10.25073/2588-1124/vnumap.4906","url":null,"abstract":"In this study, strontium substituted hydroxyapatite (SrHA) was successfully deposited onto etched titanium substrates in H2SO4 and HCl solution. The deposition was achieved by hydrothermal method by immersing the substrates in a solution containing Ca(NO3)2.4H2O, NH4H2PO4, and 5% Sr(NO3)2, followed by heating at 200°C for 12 hours. X-ray diffraction (XRD) analysis confirmed that all SrHA coatings exhibited a crystalline hydroxyapatite structure. Field-emission scanning electron microscopy (FE-SEM) revealed that the microstructure of the SrHA coatings exhibited. Bioactivity and in vitro biocompatibility testing of the SrHA-coated titanium substrates using SBF solution and baby hamster kidney (BHK) cells demonstrated positive results. \u0000 \u0000 \u0000 ","PeriodicalId":303178,"journal":{"name":"VNU Journal of Science: Mathematics - Physics","volume":"93 9","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-07-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141664269","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2024-07-05DOI: 10.25073/2588-1124/vnumap.4946
Bui Xuan Kien
The spheric aberration is one of the optical aberration influencing on the optical quality of the optical system, specially, the objective. In this paper, we poropose to use the rays transfer matrix to evaluate the spheric aberration of the nonparaxial rays. Basing on the element cofiguration of the thin lens, we introduce the rays transfer matrix describing the relation the object’s and image’s heigh from the optical axis. The transverse spheric aberration is numerically observed and compared to that obtained by using the paraxial approximation. The obtained results are discussed to evaluate the spheric aberration of the thin lens, particularly, and the objective, generally.
{"title":"Spheric Aberration Evaluation of Thin Lens by Ray Transfer Matrix","authors":"Bui Xuan Kien","doi":"10.25073/2588-1124/vnumap.4946","DOIUrl":"https://doi.org/10.25073/2588-1124/vnumap.4946","url":null,"abstract":"The spheric aberration is one of the optical aberration influencing on the optical quality of the optical system, specially, the objective. In this paper, we poropose to use the rays transfer matrix to evaluate the spheric aberration of the nonparaxial rays. Basing on the element cofiguration of the thin lens, we introduce the rays transfer matrix describing the relation the object’s and image’s heigh from the optical axis. The transverse spheric aberration is numerically observed and compared to that obtained by using the paraxial approximation. The obtained results are discussed to evaluate the spheric aberration of the thin lens, particularly, and the objective, generally.","PeriodicalId":303178,"journal":{"name":"VNU Journal of Science: Mathematics - Physics","volume":" 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-07-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141675045","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2024-05-09DOI: 10.25073/2588-1124/vnumap.4909
Pham Van Thanh, Truong Thi Ngoc Lien, Luyen Van Nam
Unexpected metal pieces are significant problems for food and pharmaceutical manufacturers. Commonly, conventional coil metal detectors are used to detect these metal pieces. However, these detectors can only detect cm-size metal pieces, making it challenging to detect mm-size metal pieces. This paper presents an advanced contactless small-magnetic-metal detector based on tunnel magnetoresistance sensors (TMR). To improve the system's sensitivity, the differential circuit combined with a simple AC-bias lock-in amplifier was designed to reduce the noise of TMR sensors. The sensitivity of this designed detection system is 0.44V/mm with a good linearity of R2=0.82674. The experimental results demonstrate that the fabricated prototype can detect the 100 – μm diameter and 1-mm length metal wire. Due to high sensitivity and low-cost fabrication, this system is promising to apply on the manufacturing lines for detecting unexpected tiny metal pieces.
{"title":"Design and characteristics of contactless small-magnetic-metal detector base on tunnel magnetoresistance sensors in differential circuit","authors":"Pham Van Thanh, Truong Thi Ngoc Lien, Luyen Van Nam","doi":"10.25073/2588-1124/vnumap.4909","DOIUrl":"https://doi.org/10.25073/2588-1124/vnumap.4909","url":null,"abstract":"Unexpected metal pieces are significant problems for food and pharmaceutical manufacturers. Commonly, conventional coil metal detectors are used to detect these metal pieces. However, these detectors can only detect cm-size metal pieces, making it challenging to detect mm-size metal pieces. This paper presents an advanced contactless small-magnetic-metal detector based on tunnel magnetoresistance sensors (TMR). To improve the system's sensitivity, the differential circuit combined with a simple AC-bias lock-in amplifier was designed to reduce the noise of TMR sensors. The sensitivity of this designed detection system is 0.44V/mm with a good linearity of R2=0.82674. The experimental results demonstrate that the fabricated prototype can detect the 100 – μm diameter and 1-mm length metal wire. Due to high sensitivity and low-cost fabrication, this system is promising to apply on the manufacturing lines for detecting unexpected tiny metal pieces.","PeriodicalId":303178,"journal":{"name":"VNU Journal of Science: Mathematics - Physics","volume":" 31","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-05-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140997376","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2024-05-09DOI: 10.25073/2588-1124/vnumap.4926
Ninh Thi Thu
The aim of this paper is to study the problem of solvability and stability for switched discrete-time linear singular (SDLS) systems with the same switching rules in coefficient matrices under Lipschitz perturbation. Firstly, we prove the unique existence of the solution, as well as describe the solution manifold. Secondly, by utilizing a Lyapunov function, we derive certain conditions that guarantee the stability of these systems. Finally, we illustrate our results with an example.
{"title":"Solvability and Stability of Switched Discrete-time Singular Systems with the Same Switching Rules in Coefficient Matrices","authors":"Ninh Thi Thu","doi":"10.25073/2588-1124/vnumap.4926","DOIUrl":"https://doi.org/10.25073/2588-1124/vnumap.4926","url":null,"abstract":"The aim of this paper is to study the problem of solvability and stability for switched discrete-time linear singular (SDLS) systems with the same switching rules in coefficient matrices under Lipschitz perturbation. Firstly, we prove the unique existence of the solution, as well as describe the solution manifold. Secondly, by utilizing a Lyapunov function, we derive certain conditions that guarantee the stability of these systems. Finally, we illustrate our results with an example. \u0000 ","PeriodicalId":303178,"journal":{"name":"VNU Journal of Science: Mathematics - Physics","volume":" 15","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-05-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140996348","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2024-05-09DOI: 10.25073/2588-1124/vnumap.4869
Nguyen Thu Nhan
Structural properties of amorphous vanadium pentoxide (V2O5) under compression investigated by molecular dynamics simulation. The simulated amorphous V2O5 is composed of basic structural units of type VO5, VO6 at low-pressure and VO6, VO7 at high-pressure. These basic structural units connected by vertex-, edge- and face- shared links to form a structural network. The random distribution of atom and void clusters leading to a high degree of disorder in the V2O5 structure. Under compression, the fraction of average vertex-, edge- and face- shared links increased strongly. The number of VCs and VTs also increases as the large voids are divided into smaller voids. Our results also elucidated the decreasing of cross-section and increasing of length in VTs are main causes for increasing ion conductivity of the amorphous V2O5.
{"title":"Structural Properties of Amorphous Vanadium Pentoxide Under Compression","authors":"Nguyen Thu Nhan","doi":"10.25073/2588-1124/vnumap.4869","DOIUrl":"https://doi.org/10.25073/2588-1124/vnumap.4869","url":null,"abstract":"Structural properties of amorphous vanadium pentoxide (V2O5) under compression investigated by molecular dynamics simulation. The simulated amorphous V2O5 is composed of basic structural units of type VO5, VO6 at low-pressure and VO6, VO7 at high-pressure. These basic structural units connected by vertex-, edge- and face- shared links to form a structural network. The random distribution of atom and void clusters leading to a high degree of disorder in the V2O5 structure. Under compression, the fraction of average vertex-, edge- and face- shared links increased strongly. The number of VCs and VTs also increases as the large voids are divided into smaller voids. Our results also elucidated the decreasing of cross-section and increasing of length in VTs are main causes for increasing ion conductivity of the amorphous V2O5. \u0000 ","PeriodicalId":303178,"journal":{"name":"VNU Journal of Science: Mathematics - Physics","volume":" 43","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-05-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140995681","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2024-05-09DOI: 10.25073/2588-1124/vnumap.4873
Nguyen Thi Thuy
A novel Ge15As15Se17Te53 chalcogenide-based photonic crystal fiber with an octagonal cladding was designed which exhibits low confinement loss and high nonlinearity. The dispersion properties were investigated over a wide wavelength range of up to 11 µm. Based on preliminary simulation results, three fibers with suitable characteristic quantities are proposed for supercontinuum generation. Among these fibers, fiber #F1 (Ʌ = 3.1 µm, d/Ʌ = 0.3) exhibits all-normal dispersion with a small value of −0.374 ps/[nm.km]. At the same time, the highest nonlinear coefficient of 2876.861 W−1.km−1 at the pump wavelength of 5.45 µm is also found. The #F2 fiber (Ʌ= 4.5 µm, d/Ʌ = 0.3) has anomalous flat dispersion with one zero dispersion wavelength. This fiber has the smallest dispersion and lowest confinement loss values of 0.281 ps/[nm.km] and 1.360×10−9 at 5.7 µm pump wavelength, respectively. With the anomalous dispersion, #F3 fiber (Ʌ = 3.5 µm, d/Ʌ = 0.3) offers a small effective mode area of 20.892 µm2 and a low confinement loss of 4.974×10−8 dB/m at 5.25 µm wavelength. The proposed fibers can be a low peak power, broadband supercontinuum source, suitable for application fields such as optical communication and biomedical sensors.
{"title":"Numerical Analysis of Optical Properties Using Octagonal Shaped Ge15As15Se17Te53 Chalcogenide Photonic Crystal Fiber","authors":"Nguyen Thi Thuy","doi":"10.25073/2588-1124/vnumap.4873","DOIUrl":"https://doi.org/10.25073/2588-1124/vnumap.4873","url":null,"abstract":"A novel Ge15As15Se17Te53 chalcogenide-based photonic crystal fiber with an octagonal cladding was designed which exhibits low confinement loss and high nonlinearity. The dispersion properties were investigated over a wide wavelength range of up to 11 µm. Based on preliminary simulation results, three fibers with suitable characteristic quantities are proposed for supercontinuum generation. Among these fibers, fiber #F1 (Ʌ = 3.1 µm, d/Ʌ = 0.3) exhibits all-normal dispersion with a small value of −0.374 ps/[nm.km]. At the same time, the highest nonlinear coefficient of 2876.861 W−1.km−1 at the pump wavelength of 5.45 µm is also found. The #F2 fiber (Ʌ= 4.5 µm, d/Ʌ = 0.3) has anomalous flat dispersion with one zero dispersion wavelength. This fiber has the smallest dispersion and lowest confinement loss values of 0.281 ps/[nm.km] and 1.360×10−9 at 5.7 µm pump wavelength, respectively. With the anomalous dispersion, #F3 fiber (Ʌ = 3.5 µm, d/Ʌ = 0.3) offers a small effective mode area of 20.892 µm2 and a low confinement loss of 4.974×10−8 dB/m at 5.25 µm wavelength. The proposed fibers can be a low peak power, broadband supercontinuum source, suitable for application fields such as optical communication and biomedical sensors. \u0000 ","PeriodicalId":303178,"journal":{"name":"VNU Journal of Science: Mathematics - Physics","volume":" 7","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-05-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140994322","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2023-12-23DOI: 10.25073/2588-1124/vnumap.4852
Nguyen Quang Huy, Nguyen Minh Hai
We considered the two – dimensional problem of reconstructing the historical distribution on the surface of a finite slab from interior temperature data in the nonhomogeneous case. The problem is ill – posed. So, a regularization is essential. Using the integration truncation method, we have got the estimation of the error between the regularized solution and the exact solution in the nonhomogeneous case. Then, we provided a numerical experiment for illustration ofthe theoretically obtained results.
{"title":"Recovering the Heat Distribution on the Surface of a Two-dimensional Finite Slab from Interior Data in the Nonhomogeneous Case","authors":"Nguyen Quang Huy, Nguyen Minh Hai","doi":"10.25073/2588-1124/vnumap.4852","DOIUrl":"https://doi.org/10.25073/2588-1124/vnumap.4852","url":null,"abstract":"We considered the two – dimensional problem of reconstructing the historical distribution on the surface of a finite slab from interior temperature data in the nonhomogeneous case. The problem is ill – posed. So, a regularization is essential. Using the integration truncation method, we have got the estimation of the error between the regularized solution and the exact solution in the nonhomogeneous case. Then, we provided a numerical experiment for illustration ofthe theoretically obtained results.","PeriodicalId":303178,"journal":{"name":"VNU Journal of Science: Mathematics - Physics","volume":"132 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2023-12-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139161080","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2023-12-23DOI: 10.25073/2588-1124/vnumap.4876
Pham Dinh Nguyen, Do Thi Thu Ha, Duong Manh Tuan
This work introduces an analysis of the nonlinear buckling and free vibration behavior of polymer plates reinforced with aligned carbon nanotubes using Reddy's third-order shear deformation plate theory and incorporating Theodore von Kármán's geometric nonlinearity. The polymer plates were enhanced with single-walled carbon nanotubes assumed to exhibit either uniform distribution or functionally graded distribution across the thickness. The equations of motion were established through Hamilton’s principle and then solved by the Galerkin method and Airy’s stress function for the composite plates with fully simply supported edges. The investigation focused on assessing the effects of carbon nanotube distribution, volume fraction, and geometrical parameters on the buckling load and fundamental frequency parameters of composite plates through numerical results.
本研究采用 Reddy 的三阶剪切变形板理论，并结合 Theodore von Kármán 的几何非线性，对使用排列整齐的碳纳米管增强的聚合物板的非线性屈曲和自由振动行为进行了分析。假定单壁碳纳米管在整个厚度上呈现均匀分布或功能分级分布，从而增强了聚合物板的强度。通过汉密尔顿原理建立了运动方程，然后通过伽勒金方法和艾里应力函数求解了具有完全简支撑边缘的复合板。研究重点是通过数值结果评估碳纳米管分布、体积分数和几何参数对复合板屈曲载荷和基频参数的影响。
{"title":"Static Buckling and Free Vibration Analysis of Aligned CNTs Reinforced Composite Plates","authors":"Pham Dinh Nguyen, Do Thi Thu Ha, Duong Manh Tuan","doi":"10.25073/2588-1124/vnumap.4876","DOIUrl":"https://doi.org/10.25073/2588-1124/vnumap.4876","url":null,"abstract":"This work introduces an analysis of the nonlinear buckling and free vibration behavior of polymer plates reinforced with aligned carbon nanotubes using Reddy's third-order shear deformation plate theory and incorporating Theodore von Kármán's geometric nonlinearity. The polymer plates were enhanced with single-walled carbon nanotubes assumed to exhibit either uniform distribution or functionally graded distribution across the thickness. The equations of motion were established through Hamilton’s principle and then solved by the Galerkin method and Airy’s stress function for the composite plates with fully simply supported edges. The investigation focused on assessing the effects of carbon nanotube distribution, volume fraction, and geometrical parameters on the buckling load and fundamental frequency parameters of composite plates through numerical results.","PeriodicalId":303178,"journal":{"name":"VNU Journal of Science: Mathematics - Physics","volume":"21 16","pages":""},"PeriodicalIF":0.0,"publicationDate":"2023-12-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139162196","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2023-12-23DOI: 10.25073/2588-1124/vnumap.4847
Dao Thi Thuy Nguyet, Nguyen Phuc Duong, Luong Ngoc Anh
In this paper, the synthesized and testing of H2 gas sensors using nickel zinc ferrite NiFe2O4 and Ni0.5Zn0.5Fe2O4 nanoparticles was shown here. The nickel zinc ferrite nanoparticles were synthesized by chemical co-precipitation combine annealed. Characterization of synthesized powders was made using X-ray diffraction (XRD) and Transmission electron microscopy (TEM) analysis. Nano powder resulting from milling was used to prepare gas sensing elements in pellet form. The gas-sensing properties were studied in presence of hydrogen as test gases. The gas response was found to be strongly influenced by the substitute concentration of Zn. A significant high sensitivity of ~ 90% was found for Zn = 0.5 in presence of 500 ppm H2 at an operating temperature of 250 °C.
{"title":"INFLUENCE OF DOPING Zn ON H2 SENSING CHARACTERISTICS OF NICKEL FERRITE NANOPARTICLES","authors":"Dao Thi Thuy Nguyet, Nguyen Phuc Duong, Luong Ngoc Anh","doi":"10.25073/2588-1124/vnumap.4847","DOIUrl":"https://doi.org/10.25073/2588-1124/vnumap.4847","url":null,"abstract":"In this paper, the synthesized and testing of H2 gas sensors using nickel zinc ferrite NiFe2O4 and Ni0.5Zn0.5Fe2O4 nanoparticles was shown here. The nickel zinc ferrite nanoparticles were synthesized by chemical co-precipitation combine annealed. Characterization of synthesized powders was made using X-ray diffraction (XRD) and Transmission electron microscopy (TEM) analysis. Nano powder resulting from milling was used to prepare gas sensing elements in pellet form. The gas-sensing properties were studied in presence of hydrogen as test gases. The gas response was found to be strongly influenced by the substitute concentration of Zn. A significant high sensitivity of ~ 90% was found for Zn = 0.5 in presence of 500 ppm H2 at an operating temperature of 250 °C.","PeriodicalId":303178,"journal":{"name":"VNU Journal of Science: Mathematics - Physics","volume":"8 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2023-12-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139161671","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2023-12-23DOI: 10.25073/2588-1124/vnumap.4857
Do Thu Ha, Nguyen Thu Huong
In this work, the Newton potential, together with the low-key corrective energy, an attractive loop of two large non-relativistic masses has been found. The asymptotic behavior of the scattering amplitude for two scalar particles at high energies with fixed momentum transfers was studied in the one-loop gravitation effective field theory.
{"title":"The High Energy Scattering Amplitude One-loop Gravitation in the Effective Field Theory","authors":"Do Thu Ha, Nguyen Thu Huong","doi":"10.25073/2588-1124/vnumap.4857","DOIUrl":"https://doi.org/10.25073/2588-1124/vnumap.4857","url":null,"abstract":"In this work, the Newton potential, together with the low-key corrective energy, an attractive loop of two large non-relativistic masses has been found. The asymptotic behavior of the scattering amplitude for two scalar particles at high energies with fixed momentum transfers was studied in the one-loop gravitation effective field theory.","PeriodicalId":303178,"journal":{"name":"VNU Journal of Science: Mathematics - Physics","volume":"20 14","pages":""},"PeriodicalIF":0.0,"publicationDate":"2023-12-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139162252","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
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