{"title":"Multiphonon structure of high-spin states in 40Ca, 90Zr, and 208Pb","authors":"N. Lyutorovich, V. Tselyaev","doi":"10.1142/s0218301323500258","DOIUrl":"https://doi.org/10.1142/s0218301323500258","url":null,"abstract":"The method of description of the high-spin states, which was previously developed and applied for the states of this type in $^{208}$Pb, is generalized for the case of the states having more complex multiphonon structure. In this method, the harmonic approximation with the renormalized phonons is used in which the phonons themselves are determined within the non-linear version of the model based on the random-phase approximation (RPA) and including both the RPA correlations and the beyond-RPA ones. The mean field and the residual interaction are derived within the framework of the self-consistent RPA from the energy-density functional of the Skyrme type. The method is applied for the analysis of the available experimental data in doubly magic $^{208}$Pb and $^{40}$Ca and in semi-magic $^{90}$Zr.","PeriodicalId":50306,"journal":{"name":"International Journal of Modern Physics E","volume":" ","pages":""},"PeriodicalIF":1.1,"publicationDate":"2023-01-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42275452","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}
{"title":"A new relation for nuclear masses based on the nuclide chain with the same number of neutrons","authors":"Xiao-Liang Liu, Bao-Bao Jiao, Xiang-Ting Meng","doi":"10.1142/s0218301322500999","DOIUrl":"https://doi.org/10.1142/s0218301322500999","url":null,"abstract":"<p>There are many studies in Odd–Even staggering (OES) of nuclear masses, but the research on nuclear masses by using the systematicness of OES is indeed very few. In this work, we analyze the relationship among the four neighboring nuclei based on the OES of nuclide chain with the same number of neutrons in atomic mass evaluation database (AME2016 database). Our purpose in this paper is to describe an empirical formula with one constant for OES of nuclear masses that can be useful in describing and predicting nuclear masses with mass number <span><math altimg=\"eq-00001.gif\" display=\"inline\" overflow=\"scroll\"><mi>A</mi><mo>≥</mo><mn>1</mn><mn>0</mn><mn>0</mn></math></span><span></span>. With the empirical formula and AME2016 database, the root-mean-square deviation (RMSD) of the nuclei that we have successfully obtained 172<span><math altimg=\"eq-00002.gif\" display=\"inline\" overflow=\"scroll\"><mspace width=\".17em\"></mspace></math></span><span></span>keV for <span><math altimg=\"eq-00003.gif\" display=\"inline\" overflow=\"scroll\"><mi>A</mi><mo>≥</mo><mn>1</mn><mn>0</mn><mn>0</mn></math></span><span></span> (the RMSD is 140<span><math altimg=\"eq-00004.gif\" display=\"inline\" overflow=\"scroll\"><mspace width=\".17em\"></mspace></math></span><span></span>keV for <span><math altimg=\"eq-00005.gif\" display=\"inline\" overflow=\"scroll\"><mi>A</mi><mo>≥</mo><mn>1</mn><mn>5</mn><mn>8</mn></math></span><span></span>). This paper also uses Levenberg–Marquart (L-M) neural network approach to study the OES of nuclear masses (<span><math altimg=\"eq-00006.gif\" display=\"inline\" overflow=\"scroll\"><mi>A</mi><mo>≥</mo><mn>1</mn><mn>0</mn><mn>0</mn></math></span><span></span>, RMSD <span><math altimg=\"eq-00007.gif\" display=\"inline\" overflow=\"scroll\"><mo>≃</mo><mn>1</mn><mn>4</mn><mn>3</mn></math></span><span></span><span><math altimg=\"eq-00008.gif\" display=\"inline\" overflow=\"scroll\"><mspace width=\".17em\"></mspace></math></span><span></span>keV; <span><math altimg=\"eq-00009.gif\" display=\"inline\" overflow=\"scroll\"><mi>A</mi><mo>≥</mo><mn>1</mn><mn>5</mn><mn>8</mn></math></span><span></span>, RMSD <span><math altimg=\"eq-00010.gif\" display=\"inline\" overflow=\"scroll\"><mo>≃</mo><mn>1</mn><mn>1</mn><mn>9</mn></math></span><span></span><span><math altimg=\"eq-00011.gif\" display=\"inline\" overflow=\"scroll\"><mspace width=\".17em\"></mspace></math></span><span></span>keV). The results show that the RMSD of nuclear masses for <span><math altimg=\"eq-00012.gif\" display=\"inline\" overflow=\"scroll\"><mi>A</mi><mo>≥</mo><mn>1</mn><mn>0</mn><mn>0</mn></math></span><span></span> based on neural network approach 30<span><math altimg=\"eq-00013.gif\" display=\"inline\" overflow=\"scroll\"><mspace width=\".17em\"></mspace></math></span><span></span>keV decreases than that based on empirical formula (the accuracy is increased by about 17%). In addition, the predicted values based on the empirical formula and L-M neural network approach are consistent with the values in AME2020 database, and the difference between our","PeriodicalId":50306,"journal":{"name":"International Journal of Modern Physics E","volume":"18 1","pages":""},"PeriodicalIF":1.1,"publicationDate":"2023-01-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"138530231","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}
{"title":"Microscopic study of shape variation across even-even mass chain of cadmium isotopes","authors":"Shivali Sharma, R. Devi, S. Khosa","doi":"10.1142/s021830132250104x","DOIUrl":"https://doi.org/10.1142/s021830132250104x","url":null,"abstract":"","PeriodicalId":50306,"journal":{"name":"International Journal of Modern Physics E","volume":" ","pages":""},"PeriodicalIF":1.1,"publicationDate":"2022-12-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46764447","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}
{"title":"The role of hyperonic interactions in proto neutron stars","authors":"Xian-Feng Zhao","doi":"10.1142/s0218301322501014","DOIUrl":"https://doi.org/10.1142/s0218301322501014","url":null,"abstract":"<p>In this paper, how the hyperonic interaction affect the properties of proto neutron stars (PNSs) is studied with relativistic mean field theory. Corresponding to the same baryon density, in consideration of the hyperonic interaction, the <span><math altimg=\"eq-00001.gif\" display=\"inline\" overflow=\"scroll\"><mi>σ</mi></math></span><span></span>-meson field strength increases, whereas the <span><math altimg=\"eq-00002.gif\" display=\"inline\" overflow=\"scroll\"><mi>ω</mi></math></span><span></span>- and <span><math altimg=\"eq-00003.gif\" display=\"inline\" overflow=\"scroll\"><mi>ρ</mi></math></span><span></span>-meson field strengths, chemical potentials of neutrons and electrons, energy density and pressure all decrease. The influence of the interaction between hyperons on the center field strengths of mesons <span><math altimg=\"eq-00004.gif\" display=\"inline\" overflow=\"scroll\"><mi>σ</mi></math></span><span></span>, <span><math altimg=\"eq-00005.gif\" display=\"inline\" overflow=\"scroll\"><mi>ω</mi></math></span><span></span> and <span><math altimg=\"eq-00006.gif\" display=\"inline\" overflow=\"scroll\"><mi>ρ</mi></math></span><span></span>, the central chemical potential of neutrons and electrons, the central energy density and the central pressure increases with the increase of the PNS’s mass. As the hyperonic interaction is considered, the PNS’s mass <span><math altimg=\"eq-00007.gif\" display=\"inline\" overflow=\"scroll\"><mi>M</mi></math></span><span></span> decreases with respect to the same radius <span><math altimg=\"eq-00008.gif\" display=\"inline\" overflow=\"scroll\"><mi>R</mi></math></span><span></span>, and the larger the PNS’s mass, the larger the radius reduction. Our results show that inside PNSs, <span><math altimg=\"eq-00009.gif\" display=\"inline\" overflow=\"scroll\"><msup><mrow><mi mathvariant=\"normal\">Σ</mi></mrow><mrow><mo stretchy=\"false\">+</mo></mrow></msup></math></span><span></span> hyperons do not appear, but baryons <span><math altimg=\"eq-00010.gif\" display=\"inline\" overflow=\"scroll\"><mi>n</mi></math></span><span></span>, <span><math altimg=\"eq-00011.gif\" display=\"inline\" overflow=\"scroll\"><mi>p</mi></math></span><span></span>, <span><math altimg=\"eq-00012.gif\" display=\"inline\" overflow=\"scroll\"><mi mathvariant=\"normal\">Λ</mi></math></span><span></span>, <span><math altimg=\"eq-00013.gif\" display=\"inline\" overflow=\"scroll\"><msup><mrow><mi mathvariant=\"normal\">Σ</mi></mrow><mrow><mn>0</mn></mrow></msup></math></span><span></span>, <span><math altimg=\"eq-00014.gif\" display=\"inline\" overflow=\"scroll\"><msup><mrow><mi mathvariant=\"normal\">Σ</mi></mrow><mrow><mo stretchy=\"false\">−</mo></mrow></msup></math></span><span></span>, <span><math altimg=\"eq-00015.gif\" display=\"inline\" overflow=\"scroll\"><msup><mrow><mi mathvariant=\"normal\">Ξ</mi></mrow><mrow><mn>0</mn></mrow></msup></math></span><span></span> and <span><math altimg=\"eq-00016.gif\" display=\"inline\" overflow=\"scroll\"><msup><mrow><mi mathvariant=\"normal\">Ξ</mi></mrow><mrow><mo stretchy=\"false\">−</mo></mrow>","PeriodicalId":50306,"journal":{"name":"International Journal of Modern Physics E","volume":"212 1","pages":""},"PeriodicalIF":1.1,"publicationDate":"2022-12-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"138530230","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}
Tochtli Yépez-Martínez, O. Civitarese, Peter O. Hess, Octavio A. Rico-Trejo, Ulises I. Ramirez-Soto
{"title":"Theoretical results for hadronic masses and their widths in the framework of the SO(4) model","authors":"Tochtli Yépez-Martínez, O. Civitarese, Peter O. Hess, Octavio A. Rico-Trejo, Ulises I. Ramirez-Soto","doi":"10.1142/s0218301322501002","DOIUrl":"https://doi.org/10.1142/s0218301322501002","url":null,"abstract":"<p>The prediction of properties of the low-energy portion of the hadronic spectrum is a challenging task which, up to day, is still tentatively given due to the nonperturbative nature of quantum chromodynamics (QCD) at low energies. In this paper, we are exploring the validity of the SO(4) scheme, as a representative of the fundamental QCD structure of meson-like states in the region below 2.5 GeV. We have focused our attention on the calculation of the energy and width of meson states of various spin, isospin and parities.</p>","PeriodicalId":50306,"journal":{"name":"International Journal of Modern Physics E","volume":"5 1","pages":""},"PeriodicalIF":1.1,"publicationDate":"2022-12-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"138530229","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}
J. P. Ndjobo, A. Atangana Likéné, K. Ahmadou, P. Mah Tsila, G. H. Ben-Bolie
{"title":"Conformable fractional study of nuclear energy excitation by Bohr Hamiltonian with screened Kratzer potential for triaxial nuclei","authors":"J. P. Ndjobo, A. Atangana Likéné, K. Ahmadou, P. Mah Tsila, G. H. Ben-Bolie","doi":"10.1142/s0218301322500951","DOIUrl":"https://doi.org/10.1142/s0218301322500951","url":null,"abstract":"<p>In this work, we obtain new solutions of the Bohr Hamiltonian model appropriate for triaxial nuclei, with screened Kratzer potential in the framework of conformable fractional derivative. The analytical solutions for energy spectra are obtained using the conformable fractional Nikiforov–Uvarov method. We discuss the link between the present model and other relevant related models such as Z(5) model, classical screened Kratzer model and conformable fractional Kratzer model. The effect of the fractional-order parameter is investigated on the variations of the interaction potential. The normalized eigen-energies are calculated as well as normalized <i>B</i>(<i>E</i>2) transitions probabilities at different values of the fractional-order parameter. Our results reproduced well the experimental data for <span><math altimg=\"eq-00001.gif\" display=\"inline\" overflow=\"scroll\"><msup><mrow></mrow><mrow><mn>1</mn><mn>2</mn><mn>6</mn></mrow></msup></math></span><span></span>Xe, <span><math altimg=\"eq-00002.gif\" display=\"inline\" overflow=\"scroll\"><msup><mrow></mrow><mrow><mn>1</mn><mn>2</mn><mn>8</mn></mrow></msup></math></span><span></span>Xe, <span><math altimg=\"eq-00003.gif\" display=\"inline\" overflow=\"scroll\"><msup><mrow></mrow><mrow><mn>1</mn><mn>3</mn><mn>0</mn></mrow></msup></math></span><span></span>Xe, <span><math altimg=\"eq-00004.gif\" display=\"inline\" overflow=\"scroll\"><msup><mrow></mrow><mrow><mn>1</mn><mn>9</mn><mn>2</mn></mrow></msup></math></span><span></span>Pt, <span><math altimg=\"eq-00005.gif\" display=\"inline\" overflow=\"scroll\"><msup><mrow></mrow><mrow><mn>1</mn><mn>9</mn><mn>4</mn></mrow></msup></math></span><span></span>Pt and <span><math altimg=\"eq-00006.gif\" display=\"inline\" overflow=\"scroll\"><msup><mrow></mrow><mrow><mn>1</mn><mn>9</mn><mn>6</mn></mrow></msup></math></span><span></span>Pt atomic nuclei, and are found to be improved in comparison with other related theoretical models.</p>","PeriodicalId":50306,"journal":{"name":"International Journal of Modern Physics E","volume":"29 1","pages":""},"PeriodicalIF":1.1,"publicationDate":"2022-12-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"138543065","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}
{"title":"Vibrational anharmonicity in near closed shell isotopes","authors":"J. Gupta, Vikas Katoch","doi":"10.1142/s0218301322500896","DOIUrl":"https://doi.org/10.1142/s0218301322500896","url":null,"abstract":"The anharmonicity in the [Formula: see text][Formula: see text]Cd, and [Formula: see text][Formula: see text]Te chain of isotopes, which lie close to magic number [Formula: see text], is analyzed from the study of the correlation of the energy levels in the ground band, and some anomalies in the various entities are pointed out. The split of the degeneracy of the phonon triplet and quintuplet is illustrated. Formation of multiple coexisting phonon multiplets, associated with higher lying excited [Formula: see text] and [Formula: see text] states, and intruder states, including 2p4h excitation, with varying deformations, in [Formula: see text]Cd is discussed. The interacting boson model (IBM) is applied for [Formula: see text] [Formula: see text]Cd. The results of a previous study of [Formula: see text] isotones in the dynamic pairing plus quadrupole model are cited for Cd and Te. The problem of collectivity as reflected in the quadrupole moments and [Formula: see text] values is analyzed. The enigma of deformation features in spherical [Formula: see text]Te, reflected in the transition probability [Formula: see text] is resolved. Charge dependence of [Formula: see text]2 transitions for vibrational nuclei, in producing enhanced [Formula: see text] strengths in Te versus Cd is illustrated.","PeriodicalId":50306,"journal":{"name":"International Journal of Modern Physics E","volume":" ","pages":""},"PeriodicalIF":1.1,"publicationDate":"2022-12-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42788801","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}
{"title":"Quark condensate and magnetic moment in a strong magnetic field","authors":"De-Xian Wei, Lijuan Zhou","doi":"10.1142/s0218301323500246","DOIUrl":"https://doi.org/10.1142/s0218301323500246","url":null,"abstract":"This paper studies the quark condensate, magnetic moment, magnetic polarization, and magnetic susceptibility in a strong external magnetic field by employing the Dyson-Schwinger equations (DSE). The results show that these physical quantities as functions of the magnetic field. We note that the quark's spin polarizations are approximately proportional to the magnetic field magnitude. For comparison, we investigate the magnetic moments and susceptibility of the nucleon in the constituent quark model framework and demonstrate that both these quantities increase as the magnetic field rises.","PeriodicalId":50306,"journal":{"name":"International Journal of Modern Physics E","volume":" ","pages":""},"PeriodicalIF":1.1,"publicationDate":"2022-12-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42068341","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}
{"title":"Isotopic yields and spontaneous fission half-lives of 279Ds and 281Ds superheavy isotopes","authors":"M. Pahlavani, H. K. Gazafroodi","doi":"10.1142/s0218301322501038","DOIUrl":"https://doi.org/10.1142/s0218301322501038","url":null,"abstract":"","PeriodicalId":50306,"journal":{"name":"International Journal of Modern Physics E","volume":" ","pages":""},"PeriodicalIF":1.1,"publicationDate":"2022-11-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42461331","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}
Muhammad Ali, U. Tabassam, Z. Abidin, M. Ajaz, M. Suleymanov, A. M. Khubrani, M. Waqas
{"title":"Elucidating the Jet Cross Section in pp and pPb Collisions at SNN = 5.02 TeV","authors":"Muhammad Ali, U. Tabassam, Z. Abidin, M. Ajaz, M. Suleymanov, A. M. Khubrani, M. Waqas","doi":"10.1142/s0218301322501026","DOIUrl":"https://doi.org/10.1142/s0218301322501026","url":null,"abstract":"","PeriodicalId":50306,"journal":{"name":"International Journal of Modern Physics E","volume":" ","pages":""},"PeriodicalIF":1.1,"publicationDate":"2022-11-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48916862","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}