Pub Date : 2024-03-22DOI: 10.1142/s0217732324500251
A. Morozov
A sketchy review of the “island” paradigm in black hole evaporation theory, which actually brings us back to the old idea that interior of black hole decouples from our universe after Page time, so that Hawking radiation is entangled with emerging new universe, thus leaving no room for the information paradox. Instead this provides a self-consistent description of multiverse, where every black hole in a parent universe is a white hole — the origin — of a new one.
{"title":"On information paradox and the fate of black holes","authors":"A. Morozov","doi":"10.1142/s0217732324500251","DOIUrl":"https://doi.org/10.1142/s0217732324500251","url":null,"abstract":"<p>A sketchy review of the “island” paradigm in black hole evaporation theory, which actually brings us back to the old idea that interior of black hole decouples from our universe after Page time, so that Hawking radiation is entangled with emerging new universe, thus leaving no room for the information paradox. Instead this provides a self-consistent description of multiverse, where every black hole in a parent universe is a white hole — the origin — of a new one.</p>","PeriodicalId":18752,"journal":{"name":"Modern Physics Letters A","volume":"16 1","pages":""},"PeriodicalIF":1.4,"publicationDate":"2024-03-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140203453","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2024-03-11DOI: 10.1142/s0217732324500147
Christian Corda
The Mössbauer rotor effect recently gained a renewed interest due to the discovery and explanation of an additional effect of clock synchronization which has been missed for about 50 years, i.e. starting from a famous book of Pauli, till some more recent experimental analyses. The theoretical explanation of such an additional effect is due to some recent papers in the general relativistic framework. Here, we show that the additional effect of clock synchronization can be calculated in another way via the third postulate of relativity.
{"title":"On Mössbauer rotor effect, clock synchronization and third postulate of relativity","authors":"Christian Corda","doi":"10.1142/s0217732324500147","DOIUrl":"https://doi.org/10.1142/s0217732324500147","url":null,"abstract":"<p>The Mössbauer rotor effect recently gained a renewed interest due to the discovery and explanation of an additional effect of clock synchronization which has been missed for about 50 years, i.e. starting from a famous book of Pauli, till some more recent experimental analyses. The theoretical explanation of such an additional effect is due to some recent papers in the general relativistic framework. Here, we show that the additional effect of clock synchronization can be calculated in another way via the third postulate of relativity.</p>","PeriodicalId":18752,"journal":{"name":"Modern Physics Letters A","volume":"28 1","pages":""},"PeriodicalIF":1.4,"publicationDate":"2024-03-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140196296","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2024-03-11DOI: 10.1142/s021773232450010x
M. Hosseinian Rostami, S. M. Motevalli, N. Amrani, S. S. Hosseini
We studied the alpha decay half-life of Americium isotopes () with mass numbers ranging from 223 to 243. Our investigation employed the Coulomb and proximity potential model (CPPM), in addition to alternative analytical and semiempirical formulas. The calculations took into account both experimental and theoretical Q-values, as well as the total alpha kinetic energy. We analyzed the behavior of the hindrance factor concerning changes in the mass numbers of parent nuclei within the range of 223–243, and also examined the impact of magic numbers associated with closed shells. To evaluate the accuracy of our findings, we utilized the SemFIS, UNIV, and Royer formulas to make predictions, which were then compared to the existing experimental data.
{"title":"Prediction on the alpha decay half-lives of 223−243Am isotopes","authors":"M. Hosseinian Rostami, S. M. Motevalli, N. Amrani, S. S. Hosseini","doi":"10.1142/s021773232450010x","DOIUrl":"https://doi.org/10.1142/s021773232450010x","url":null,"abstract":"<p>We studied the alpha decay half-life of Americium isotopes (<span><math altimg=\"eq-00002.gif\" display=\"inline\" overflow=\"scroll\"><mstyle><mtext mathvariant=\"normal\">Z</mtext></mstyle><mo>=</mo><mn>9</mn><mn>5</mn></math></span><span></span>) with mass numbers ranging from 223 to 243. Our investigation employed the Coulomb and proximity potential model (CPPM), in addition to alternative analytical and semiempirical formulas. The calculations took into <i>account</i> both experimental and theoretical Q-values, as well as the total alpha kinetic energy. We analyzed the behavior of the hindrance factor concerning changes in the mass numbers of parent nuclei within the range of 223–243, and also examined the impact of magic numbers associated with closed shells. To evaluate the accuracy of our findings, we utilized the SemFIS, UNIV, and Royer formulas to make predictions, which were then compared to the existing experimental data.</p>","PeriodicalId":18752,"journal":{"name":"Modern Physics Letters A","volume":"293 1","pages":""},"PeriodicalIF":1.4,"publicationDate":"2024-03-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140203696","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2024-03-11DOI: 10.1142/s0217732324500093
M. Dehghani
The Jordan frame (JF) field equations of scalar-tensor (ST) theory are strongly coupled and, the exact solutions cannot be obtained easily. By using the conformal transformation (CT), the ST action has been translated to the Einstein frame (EF) where the theory is known as the Einstein-dilaton (Ed) gravity. Also, an -dimensional electromagnetic Lagrangian has been introduced which remains invariant under CT. The Ed-conformal-invariant field equations, which are confronted with the mathematical indeterminacy problem, have been solved by use of a power-law ansatz function. We have introduced two classes of black holes (BHs) which are asymptotically non-flat and non-AdS. The Ed exact solutions can produce BHs with three, two, one and without horizons. By calculating the thermodynamic quantities, and making use of the Smarr mass relation it has been shown that the thermodynamical first law is valid in the EF. Thermal stability of Ed BHs has been analyzed by considering specific heats, thermodynamic Ricci scalars and Gibbs free energies, separately. Then using the inverse CTs, the ST exact solutions have been obtained which show two classes of horizonless, one-horizon, two-horizon and three-horizon BHs. We found that CTs preserve thermodynamic quantities and, thermodynamic properties of the ST BHs are just like those of Ed ones.
标量张量(ST)理论的乔丹框架(JF)场方程是强耦合的,因此不容易得到精确解。通过保角变换(CT),ST 作用被转换到了爱因斯坦框架(EF),该理论被称为爱因斯坦-稀拉顿(Ed)引力。此外,还引入了一个 (n+1)-dimensional 电磁拉格朗日,它在 CT 下保持不变。埃德共形不变场方程面临数学不确定性问题,我们利用幂律安萨特函数解决了这一问题。我们引入了两类黑洞(BHs),它们是渐近非扁平的和非 AdS 的。埃德精确解可以产生有三个、两个、一个和没有视界的黑洞。通过计算热力学量,并利用斯马尔质量关系,证明热力学第一定律在 EF 中是有效的。通过分别考虑比热、热力学里奇标量和吉布斯自由能,分析了埃德黑洞的热稳定性。然后利用逆 CT,得到了 ST 精确解,显示出两类无地平线、单地平线、双地平线和三地平线 BH。我们发现 CT 保留了热力学量,而且 ST BH 的热力学性质与 Ed BH 的热力学性质相同。
{"title":"Thermodynamics of black holes charged with a conformally invariant electrodynamics in (n+1)-dimensional scalar-tensor theory","authors":"M. Dehghani","doi":"10.1142/s0217732324500093","DOIUrl":"https://doi.org/10.1142/s0217732324500093","url":null,"abstract":"<p>The Jordan frame (JF) field equations of scalar-tensor (ST) theory are strongly coupled and, the exact solutions cannot be obtained easily. By using the conformal transformation (CT), the ST action has been translated to the Einstein frame (EF) where the theory is known as the Einstein-dilaton (Ed) gravity. Also, an <span><math altimg=\"eq-00002.gif\" display=\"inline\" overflow=\"scroll\"><mo stretchy=\"false\">(</mo><mi>n</mi><mo>+</mo><mn>1</mn><mo stretchy=\"false\">)</mo></math></span><span></span>-dimensional electromagnetic Lagrangian has been introduced which remains invariant under CT. The Ed-conformal-invariant field equations, which are confronted with the mathematical indeterminacy problem, have been solved by use of a power-law ansatz function. We have introduced two classes of black holes (BHs) which are asymptotically non-flat and non-AdS. The Ed exact solutions can produce BHs with three, two, one and without horizons. By calculating the thermodynamic quantities, and making use of the Smarr mass relation it has been shown that the thermodynamical first law is valid in the EF. Thermal stability of Ed BHs has been analyzed by considering specific heats, thermodynamic Ricci scalars and Gibbs free energies, separately. Then using the inverse CTs, the ST exact solutions have been obtained which show two classes of horizonless, one-horizon, two-horizon and three-horizon BHs. We found that CTs preserve thermodynamic quantities and, thermodynamic properties of the ST BHs are just like those of Ed ones.</p>","PeriodicalId":18752,"journal":{"name":"Modern Physics Letters A","volume":"67 4 1","pages":""},"PeriodicalIF":1.4,"publicationDate":"2024-03-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140203531","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2024-03-11DOI: 10.1142/s0217732324500081
D. G. Sindhu, Akhilesh Ranjan, Hemwati Nandan, V. Sharma
Hexaquarks are one of the currently emerging topics in both experimental and theoretical high energy physics. Hexaquarks have been examined in relation to particle physics, however, there are still some research and theoretical conjectures surrounding their relationship to dark matter. Due to some experimental discoveries, it has attracted much interest and also resulted in new theoretical models to study the properties of these states. In this work, Regge trajectories of some hexaquark states are compared with tetraquark and pentaquark states. The study is mainly concentrated on fully heavy hexaquark states. The mass spectra of these hexaquark states have also been investigated and the results are compared with other theoretical works. Our findings agree well with those of other researchers.
{"title":"Heavy hexaquarks in the flux tube model","authors":"D. G. Sindhu, Akhilesh Ranjan, Hemwati Nandan, V. Sharma","doi":"10.1142/s0217732324500081","DOIUrl":"https://doi.org/10.1142/s0217732324500081","url":null,"abstract":"<p>Hexaquarks are one of the currently emerging topics in both experimental and theoretical high energy physics. Hexaquarks have been examined in relation to particle physics, however, there are still some research and theoretical conjectures surrounding their relationship to dark matter. Due to some experimental discoveries, it has attracted much interest and also resulted in new theoretical models to study the properties of these states. In this work, Regge trajectories of some hexaquark states are compared with tetraquark and pentaquark states. The study is mainly concentrated on fully heavy hexaquark states. The mass spectra of these hexaquark states have also been investigated and the results are compared with other theoretical works. Our findings agree well with those of other researchers.</p>","PeriodicalId":18752,"journal":{"name":"Modern Physics Letters A","volume":"1 1","pages":""},"PeriodicalIF":1.4,"publicationDate":"2024-03-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140203461","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2024-03-11DOI: 10.1142/s0217732324500111
Y. J. Fan, X. Guo, Z. H. Guo, M. Zhang
Quantum coherence is an important feature that distinguishes quantum mechanics from classical physics. In this paper, we study the coherence of a quantum state with respect to a quantum channel, and introduce a coherence measure in terms of the generalized Wigner–Yanase–Dyson skew information. The basic properties and operational significance of the measure are expounded in detail, which shows that it is indeed a veritable quantity and satisfies many desirable conditions intuitively required for the coherence measures. We illustrate the significance of characterizing channels from the coherence perspective through some examples. Finally, we consider the average coherence of a state based on the generalized Wigner–Yanase–Dyson skew information with respect to any complete mutually unbiased bases in prime power dimensional systems, as well as with respect to all orthonormal bases, and show that these two averages are equivalent since they both can be seen as the coherence of the quantum state with respect to the depolarizing quantum channel.
{"title":"Quantifying coherence via the generalized Wigner–Yanase–Dyson skew information","authors":"Y. J. Fan, X. Guo, Z. H. Guo, M. Zhang","doi":"10.1142/s0217732324500111","DOIUrl":"https://doi.org/10.1142/s0217732324500111","url":null,"abstract":"<p>Quantum coherence is an important feature that distinguishes quantum mechanics from classical physics. In this paper, we study the coherence of a quantum state with respect to a quantum channel, and introduce a coherence measure in terms of the generalized Wigner–Yanase–Dyson skew information. The basic properties and operational significance of the measure are expounded in detail, which shows that it is indeed a veritable quantity and satisfies many desirable conditions intuitively required for the coherence measures. We illustrate the significance of characterizing channels from the coherence perspective through some examples. Finally, we consider the average coherence of a state based on the generalized Wigner–Yanase–Dyson skew information with respect to any complete mutually unbiased bases in prime power dimensional systems, as well as with respect to all orthonormal bases, and show that these two averages are equivalent since they both can be seen as the coherence of the quantum state with respect to the depolarizing quantum channel.</p>","PeriodicalId":18752,"journal":{"name":"Modern Physics Letters A","volume":"176 1","pages":""},"PeriodicalIF":1.4,"publicationDate":"2024-03-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140196322","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2024-03-11DOI: 10.1142/s0217732324500135
Felipe A. Asenjo, Sergio A. Hojman, Braulio M. Villegas-Martínez, Héctor M. Moya-Cessa, Francisco Soto-Eguibar
A medium with specific anisotropic refractive indices can induce a supersymmetric behavior in the propagation of polarized electromagnetic waves, in an analog fashion to a quantum mechanical system. The polarizations of the wave are the ones which behave as superpartners from each other. For this to happen, the anisotropy of the medium must be transverse to the direction of propagation of the wave, with different refractive indices along the direction of each polarization, being in this way a biaxial medium. These refractive indices must be complex and follow a very specific relation in order to trigger the supersymetric response of the electromagnetic wave, each of them with spatial dependence on the longitudinal (propagation) direction of the wave. In this form, in these materials, different polarized light can be used to test supersymmetry in an optical fashion.
{"title":"Supersymmetric behavior of polarized electromagnetic waves in anisotropic media","authors":"Felipe A. Asenjo, Sergio A. Hojman, Braulio M. Villegas-Martínez, Héctor M. Moya-Cessa, Francisco Soto-Eguibar","doi":"10.1142/s0217732324500135","DOIUrl":"https://doi.org/10.1142/s0217732324500135","url":null,"abstract":"<p>A medium with specific anisotropic refractive indices can induce a supersymmetric behavior in the propagation of polarized electromagnetic waves, in an analog fashion to a quantum mechanical system. The polarizations of the wave are the ones which behave as superpartners from each other. For this to happen, the anisotropy of the medium must be transverse to the direction of propagation of the wave, with different refractive indices along the direction of each polarization, being in this way a biaxial medium. These refractive indices must be complex and follow a very specific relation in order to trigger the supersymetric response of the electromagnetic wave, each of them with spatial dependence on the longitudinal (propagation) direction of the wave. In this form, in these materials, different polarized light can be used to test supersymmetry in an optical fashion.</p>","PeriodicalId":18752,"journal":{"name":"Modern Physics Letters A","volume":"2015 1","pages":""},"PeriodicalIF":1.4,"publicationDate":"2024-03-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140196588","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2024-02-21DOI: 10.1142/s0217732324500123
A. K. Kapoor
The Parisi–Wu scheme of quantization opens up the possibility of using anomalous fermionic gauge theories. An analysis of ultra-violet divergences reveals that the structure of counter terms is different from what is expected in conventional quantization schemes. In this paper, it is argued that there exists a possible mechanism of CP violation that requires at least three generations of quarks, a result well known from a phenomenological analysis of mass mixing of quarks. A few observations on possible ways of going beyond the Standard Model are included.
{"title":"Parisi–Wu quantization, CP violation and beyond the standard model","authors":"A. K. Kapoor","doi":"10.1142/s0217732324500123","DOIUrl":"https://doi.org/10.1142/s0217732324500123","url":null,"abstract":"<p>The Parisi–Wu scheme of quantization opens up the possibility of using anomalous fermionic gauge theories. An analysis of ultra-violet divergences reveals that the structure of counter terms is different from what is expected in conventional quantization schemes. In this paper, it is argued that there exists a possible mechanism of CP violation that requires at least three generations of quarks, a result well known from a phenomenological analysis of mass mixing of quarks. A few observations on possible ways of going beyond the Standard Model are included.</p>","PeriodicalId":18752,"journal":{"name":"Modern Physics Letters A","volume":"29 1","pages":""},"PeriodicalIF":1.4,"publicationDate":"2024-02-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140196392","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2024-01-10DOI: 10.1142/s0217732323501766
M. Pahlavani, F. Ahmadvand
The [Formula: see text]-decay and spontaneous fission (SF) half-lives for even–even isotopes of superheavy nuclei in the range [Formula: see text] are predicted using nuclear double-folding and Coulomb potentials. The [Formula: see text]-decay half-lives are computed based on WKB approximation for tunneling probability through potential barrier. The half-lives of SF have also been calculated using a semi-empirical relation constructed by Santhosh et al. [Nucl. Phys. A 832, 220 (2009)]. Our calculated half-lives of cold SF and [Formula: see text]-decay are compared with the available experimental data. This comparison indicates that our obtained half-lives are in good agreement with the available experimental data. The competition between [Formula: see text]-decay and SF is also analyzed in detail and the decay modes are predicted for the unknown cases. Variation of [Formula: see text]-decay and SF half-lives with mass number of the parent isotopes for each nucleus revealed the major role played with shell effect.
利用核双折叠和库仑势预测了[公式:见正文]范围内超重原子核偶偶数同位素的[公式:见正文]衰变和自发裂变(SF)半衰期。计算[公式:见正文]衰变半衰期所依据的是通过势垒的隧道概率的 WKB 近似值。SF 的半衰期也是利用 Santhosh 等人构建的半经验关系计算得出的[Nucl. Phys. A 832, 220 (2009)]。我们将计算出的冷 SF 和[公式:见正文]衰变的半衰期与现有的实验数据进行了比较。比较结果表明,我们得到的半衰期与现有的实验数据十分吻合。我们还详细分析了[式:见正文]衰变与 SF 之间的竞争,并预测了未知情况下的衰变模式。每个原子核的[式:见正文]衰变和 SF 半衰期随母体同位素质量数的变化揭示了壳效应的主要作用。
{"title":"The competition between α-decay and spontaneous fission for even–even isotopes of superheavy nuclei in the range 106≤Z≤124","authors":"M. Pahlavani, F. Ahmadvand","doi":"10.1142/s0217732323501766","DOIUrl":"https://doi.org/10.1142/s0217732323501766","url":null,"abstract":"The [Formula: see text]-decay and spontaneous fission (SF) half-lives for even–even isotopes of superheavy nuclei in the range [Formula: see text] are predicted using nuclear double-folding and Coulomb potentials. The [Formula: see text]-decay half-lives are computed based on WKB approximation for tunneling probability through potential barrier. The half-lives of SF have also been calculated using a semi-empirical relation constructed by Santhosh et al. [Nucl. Phys. A 832, 220 (2009)]. Our calculated half-lives of cold SF and [Formula: see text]-decay are compared with the available experimental data. This comparison indicates that our obtained half-lives are in good agreement with the available experimental data. The competition between [Formula: see text]-decay and SF is also analyzed in detail and the decay modes are predicted for the unknown cases. Variation of [Formula: see text]-decay and SF half-lives with mass number of the parent isotopes for each nucleus revealed the major role played with shell effect.","PeriodicalId":18752,"journal":{"name":"Modern Physics Letters A","volume":"11 12","pages":""},"PeriodicalIF":1.4,"publicationDate":"2024-01-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139439797","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2024-01-10DOI: 10.1142/s0217732323501870
Faizuddin Ahmed, Abdullah Güvendi
In this paper, we investigate the behavior of a scalar bosonic field within the backdrop of Eddington-inspired Born–Infeld gravity with a global monopole configuration. Additionally, we consider the presence of both scalar and vector potentials. To introduce the scalar potential, we perform a transformation on the mass term, replacing [Formula: see text] with [Formula: see text]. For the vector potential, we apply a minimal coupling scheme, transforming [Formula: see text] within the relativistic Klein–Gordon equation. We opt for a harmonic oscillator scenario where the scalar and vector potentials are equal, i.e. [Formula: see text]. Through this setup, we analytically solve the wave equation using the confluent Heun equation form. Subsequently, we delve into the quantum system in the absence of any potential, determining the permissible values for bound-state relativistic energy levels and the scalar field’s wave function. Our analysis reveals that the energy levels and wave function are influenced by various parameters present in the eigenvalue expression.
{"title":"Behavior of spin-0 scalar particles in Eddington-inspired Born–Infeld gravity global monopole with harmonic oscillator potential","authors":"Faizuddin Ahmed, Abdullah Güvendi","doi":"10.1142/s0217732323501870","DOIUrl":"https://doi.org/10.1142/s0217732323501870","url":null,"abstract":"In this paper, we investigate the behavior of a scalar bosonic field within the backdrop of Eddington-inspired Born–Infeld gravity with a global monopole configuration. Additionally, we consider the presence of both scalar and vector potentials. To introduce the scalar potential, we perform a transformation on the mass term, replacing [Formula: see text] with [Formula: see text]. For the vector potential, we apply a minimal coupling scheme, transforming [Formula: see text] within the relativistic Klein–Gordon equation. We opt for a harmonic oscillator scenario where the scalar and vector potentials are equal, i.e. [Formula: see text]. Through this setup, we analytically solve the wave equation using the confluent Heun equation form. Subsequently, we delve into the quantum system in the absence of any potential, determining the permissible values for bound-state relativistic energy levels and the scalar field’s wave function. Our analysis reveals that the energy levels and wave function are influenced by various parameters present in the eigenvalue expression.","PeriodicalId":18752,"journal":{"name":"Modern Physics Letters A","volume":"5 30","pages":""},"PeriodicalIF":1.4,"publicationDate":"2024-01-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139439761","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}