Short Retraction NoticeThe paper does not meet the standards of "Journal of Applied Mathematics and Physics". This article has been retracted to straighten the academic record. In making this decision the Ed...Short Retraction NoticeThe paper does not meet the standards of "Journal of Applied Mathematics and Physics". This article has been retracted to straighten the academic record. In making this decision the Editorial Board follows COPE's Retraction Guidelines. The aim is to promote the circulation of scientific research by offering an ideal research publication platform with due consideration of internationally accepted standards on publication ethics. The Editorial Board would like to extend its sincere apologies for any inconvenience this retraction may have caused.Editor guiding this retraction: Prof. Wen-Xiu Ma (EiC of JAMP)The full retraction notice in PDF is preceding the original paper, which is marked "RETRACTED".展开更多
The parameters of the sdg interacting boson model Hamiltonian are calculated for the <sup>104-110</sup>Pdisotopes.The calculations utilize the microscopic procedure based on the Dyson boson mapping propose...The parameters of the sdg interacting boson model Hamiltonian are calculated for the <sup>104-110</sup>Pdisotopes.The calculations utilize the microscopic procedure based on the Dyson boson mapping proposedby Yang-Liu-Qi and extended to include the g boson effects.The calculated parameters reproduce thosevalues from the phenomenological fits.The resulting spectra are compared with the experimental spectra.展开更多
The Standard Model is the theory of Physics that describes the elementary particles of matter and the strong, weak and electromagnetic interactions, between them. The theory of the Standard Model does not include the ...The Standard Model is the theory of Physics that describes the elementary particles of matter and the strong, weak and electromagnetic interactions, between them. The theory of the Standard Model does not include the description of the gravitational interactions. It is a very well founded theory that has predicted many experimental results, such as the existence of many particles and has withstood many experimental tests. The key missing piece of the theory to fill in was the Higgs boson, whose existence was reasonably suspected and confirmed by CERN’s ATLAS and CMS experiments in 2012. The current synthesis of the theory was completed in the mid-1970s, after the experimental confirmation of the existence of the quarks, and then confirmed, with the discovery of the Higgs boson, in 2012. All these, are according to the established views of science. But according to the opinions of many scientists, opinions with which I as the author of this paper agree, the theory of the Standard Model is a wrong theory because, while it makes some successful predictions, it does not answer to a number of many other questions that it should answer for its final establishment. Specifically and according to established views, the theory cannot explain the existence of dark matter and dark energy, the behavior of neutrinos and the existence of particles with very different masses. It is also questionable whether the Higgs boson, discovered in the ATLAS experiment is actually the particle that contributes to the creation of the mass of the elementary particles of matter, and whether the Higgs mechanism is theoretically a correct mechanism. There is doubt if the interactions, actually be created by the exchange of bosons? If bosons are really exist? And not any convincing explanation is given by the theory, for the case that, the bosons exist as particles, where were they found? And how do they work? For replace, or fill the void will be left by the theory of the Standard Model, which I believe sooner or later will be renewed or retired, I propose a New Model that more convincingly describes the elementary components of matter and the interactions between them. The New Model also addresses all the weak points of the theory of the Standard Model, including the interaction of gravity. But the main feature of the New Model, which will surprise you! Is its reliability, correctness, logic and simplicity. But this is something you will judge after studying the New Model.展开更多
The \%SU\%(3) limit of the \%sdg\|pf\% interacting boson model is proposed. Applications to the collective states of 236,238 U are discussed. It is shown that the spectra can be well described by the model.
U（5）-0（6） transitional behaviour in the SD-palr shell model is studied. The results show that the U（5）-O（6） transitional patterns of the interacting boson model can be reproduced in the S D-palr shell model ap...U（5）-0（6） transitional behaviour in the SD-palr shell model is studied. The results show that the U（5）-O（6） transitional patterns of the interacting boson model can be reproduced in the S D-palr shell model approximately.展开更多
The△I = 2 and △I = 4 staggering parameters of transition energies Eγfor normally deformed positive parity ground bands in232 Th and236,238 U nuclei are studied in framework of the symplectic extension of the intera...The△I = 2 and △I = 4 staggering parameters of transition energies Eγfor normally deformed positive parity ground bands in232 Th and236,238 U nuclei are studied in framework of the symplectic extension of the interacting vector boson model. The model parameters are obtained from the fitting procedure between the calculated excitation energies and the corresponding experimental ones. The staggering parameters represent the finite difference approximations to higher order derivatives dnEγ/d Inof the γ-ray transition energies in a△I = 2 and △I = 4 bands, which yielding multipoint formulae. The first order derivative(two-point formula) provides us with information about the dynamical moment of inertia. The staggering oscillation for the fourth order derivative(five-point formula) is about 0.5 Ke V and is even larger than that in superdeformed bands. The quite similarity in dynamical moments of inertia of the isotopes236,238 U up to high spin states indicate that the phenomenon of identical bands is not restricted to superdeformed bands.展开更多
The extended interacting boson model with s-, p-, d-, f- and g-bosons included (spdfg IBM)is investigated. The algebraic structure including the generators, the Casimir operators of the groups at the SU(5) dynamical s...The extended interacting boson model with s-, p-, d-, f- and g-bosons included (spdfg IBM)is investigated. The algebraic structure including the generators, the Casimir operators of the groups at the SU(5) dynamical symmetry and the branching rules of the irreducible representation reductions along the group chain are obtained. The typical energy spectrum of the symmetry is given.展开更多
This contribution reviews the symmetry properties of the interacting boson model of Arima and Iachello. While the concept of a dynamical symmetry is by now a familiar one, this is not necessarily so for the extended n...This contribution reviews the symmetry properties of the interacting boson model of Arima and Iachello. While the concept of a dynamical symmetry is by now a familiar one, this is not necessarily so for the extended notions of partial dynamical symmetry and quasi dynamical symmetry, which can be beautifully illustrated in the context of the interacting boson model. The main conclusion of the analysis is that dynamical symmetries are scarce while their partial and quasi extensions are ubiquitous.展开更多
The low-lying energy levels and electromagnetic transitions of even-even nuclei ^98Zr, ^100Zr, ^102Zr,^104Zr are studied within the framework of the interacting boson model. The Hamiltonian matrix elements and some of...The low-lying energy levels and electromagnetic transitions of even-even nuclei ^98Zr, ^100Zr, ^102Zr,^104Zr are studied within the framework of the interacting boson model. The Hamiltonian matrix elements and some of their states have been respectively analyzed and determined with respect to the current nuclear experimental data. The B（E2） of electromagnetic transitions have also been calculated and the wave function structures also analyzed. The results show good agreement with the available experimental data. The present study shows that these series of nuclei are in the transition from U（5） to SU（3）, namely from vibration to rotation.展开更多
Interacting Boson Model-2(IBM-2)is used to determine the Hamiltonian for Er nuclei.Fit values of parameters are used to construct the Hamiltonian,energy levels and electromagnetic transitions(B(E2),B(M1))multipole mix...Interacting Boson Model-2(IBM-2)is used to determine the Hamiltonian for Er nuclei.Fit values of parameters are used to construct the Hamiltonian,energy levels and electromagnetic transitions(B(E2),B(M1))multipole mixing ratios(δ(E2/M1))for some even-even Er nuclei and monopole transition probability are estimated.New ideas are used for counting bosons number at N=64 and results are compared with previous works.展开更多
The energy dependence of the spectral fluctuations in the interacting boson model(IBM)and its connections to the mean-field structures are analyzed by adopting two statistical measures:the nearest neighbor level spaci...The energy dependence of the spectral fluctuations in the interacting boson model(IBM)and its connections to the mean-field structures are analyzed by adopting two statistical measures:the nearest neighbor level spacing distribution P(S)measuring the chaoticity(regularity)in energy spectra and the Δ_(3)(L)statistics of Dyson and Metha measuring the spectral rigidity.Specifically,the statistical results as functions of the energy cutoff are determined for different dynamical scenarios,including the U(5)-SU(3)and SU(3)-O(6)transitions as well as those near the AW arc of regularity.We observe that most of the changes in spectral fluctuations are triggered near the stationary points of the classical potential,particularly for cases in the deformed region of the IBM phase diagram.Thus,the results justify the stationary point effects from the perspective of statistics.In addition,the approximate degeneracies in the 2^(+)spectrum on the AW arc is also revealed from the statistical calculations.展开更多
Starting from one of the microscopic sdg interacting boson approximations, the lead-ing terms in the interaction Hamiltonian are discussed by using numerical investigations. Com-parisons of both the calculated levels ...Starting from one of the microscopic sdg interacting boson approximations, the lead-ing terms in the interaction Hamiltonian are discussed by using numerical investigations. Com-parisons of both the calculated levels and the overlap of wave functions between the exact re-sults and the approximations are made to find out negligible part in the Hamiltonian. The re-sults show that the leading terms given in this paper may provide a way to simplify the complexcalculations.展开更多
Within the framework of the interacting boson model- 1, the energy levels and electromagnetic transitions in 72-84Kr isotopes are calculated. The structures of the eigenstate and Hamiltonian matrix for some low-lying ...Within the framework of the interacting boson model- 1, the energy levels and electromagnetic transitions in 72-84Kr isotopes are calculated. The structures of the eigenstate and Hamiltonian matrix for some low-lying states are also calculated. The calculated results are compared with available experimental data, and the results are generally in good agreement. The present study shows that the 72,74,76,80,82,84Kr isotopes are in the transition from U（5）→ SU（3）, and 7SKr is in the transition from U（5）→ O（6）.展开更多
文摘Short Retraction NoticeThe paper does not meet the standards of "Journal of Applied Mathematics and Physics". This article has been retracted to straighten the academic record. In making this decision the Editorial Board follows COPE's Retraction Guidelines. The aim is to promote the circulation of scientific research by offering an ideal research publication platform with due consideration of internationally accepted standards on publication ethics. The Editorial Board would like to extend its sincere apologies for any inconvenience this retraction may have caused.Editor guiding this retraction: Prof. Wen-Xiu Ma (EiC of JAMP)The full retraction notice in PDF is preceding the original paper, which is marked "RETRACTED".
基金①The project supported by the National Natural Science Foundation of China
文摘The parameters of the sdg interacting boson model Hamiltonian are calculated for the <sup>104-110</sup>Pdisotopes.The calculations utilize the microscopic procedure based on the Dyson boson mapping proposedby Yang-Liu-Qi and extended to include the g boson effects.The calculated parameters reproduce thosevalues from the phenomenological fits.The resulting spectra are compared with the experimental spectra.
文摘The Standard Model is the theory of Physics that describes the elementary particles of matter and the strong, weak and electromagnetic interactions, between them. The theory of the Standard Model does not include the description of the gravitational interactions. It is a very well founded theory that has predicted many experimental results, such as the existence of many particles and has withstood many experimental tests. The key missing piece of the theory to fill in was the Higgs boson, whose existence was reasonably suspected and confirmed by CERN’s ATLAS and CMS experiments in 2012. The current synthesis of the theory was completed in the mid-1970s, after the experimental confirmation of the existence of the quarks, and then confirmed, with the discovery of the Higgs boson, in 2012. All these, are according to the established views of science. But according to the opinions of many scientists, opinions with which I as the author of this paper agree, the theory of the Standard Model is a wrong theory because, while it makes some successful predictions, it does not answer to a number of many other questions that it should answer for its final establishment. Specifically and according to established views, the theory cannot explain the existence of dark matter and dark energy, the behavior of neutrinos and the existence of particles with very different masses. It is also questionable whether the Higgs boson, discovered in the ATLAS experiment is actually the particle that contributes to the creation of the mass of the elementary particles of matter, and whether the Higgs mechanism is theoretically a correct mechanism. There is doubt if the interactions, actually be created by the exchange of bosons? If bosons are really exist? And not any convincing explanation is given by the theory, for the case that, the bosons exist as particles, where were they found? And how do they work? For replace, or fill the void will be left by the theory of the Standard Model, which I believe sooner or later will be renewed or retired, I propose a New Model that more convincingly describes the elementary components of matter and the interactions between them. The New Model also addresses all the weak points of the theory of the Standard Model, including the interaction of gravity. But the main feature of the New Model, which will surprise you! Is its reliability, correctness, logic and simplicity. But this is something you will judge after studying the New Model.
文摘The \%SU\%(3) limit of the \%sdg\|pf\% interacting boson model is proposed. Applications to the collective states of 236,238 U are discussed. It is shown that the spectra can be well described by the model.
基金Supported in part by the National Natural Science Foundation of China under Grant Nos 10675063 and 10575047）, SRF for ROCS.
文摘U（5）-0（6） transitional behaviour in the SD-palr shell model is studied. The results show that the U（5）-O（6） transitional patterns of the interacting boson model can be reproduced in the S D-palr shell model approximately.
文摘The△I = 2 and △I = 4 staggering parameters of transition energies Eγfor normally deformed positive parity ground bands in232 Th and236,238 U nuclei are studied in framework of the symplectic extension of the interacting vector boson model. The model parameters are obtained from the fitting procedure between the calculated excitation energies and the corresponding experimental ones. The staggering parameters represent the finite difference approximations to higher order derivatives dnEγ/d Inof the γ-ray transition energies in a△I = 2 and △I = 4 bands, which yielding multipoint formulae. The first order derivative(two-point formula) provides us with information about the dynamical moment of inertia. The staggering oscillation for the fourth order derivative(five-point formula) is about 0.5 Ke V and is even larger than that in superdeformed bands. The quite similarity in dynamical moments of inertia of the isotopes236,238 U up to high spin states indicate that the phenomenon of identical bands is not restricted to superdeformed bands.
基金the National Natural Science Foundation of China(Grant Nos.19875001,10075002)the Foundation for University Key Teacher by the Ministry of Education,Chinathe Funds of the Key Laboratory of Heavy Ion Physics at Peking University,Ministry of Education,China.
文摘The extended interacting boson model with s-, p-, d-, f- and g-bosons included (spdfg IBM)is investigated. The algebraic structure including the generators, the Casimir operators of the groups at the SU(5) dynamical symmetry and the branching rules of the irreducible representation reductions along the group chain are obtained. The typical energy spectrum of the symmetry is given.
文摘This contribution reviews the symmetry properties of the interacting boson model of Arima and Iachello. While the concept of a dynamical symmetry is by now a familiar one, this is not necessarily so for the extended notions of partial dynamical symmetry and quasi dynamical symmetry, which can be beautifully illustrated in the context of the interacting boson model. The main conclusion of the analysis is that dynamical symmetries are scarce while their partial and quasi extensions are ubiquitous.
基金Supported by National Natural Science Foundation of China (11165001, 11205079)
文摘The low-lying energy levels and electromagnetic transitions of even-even nuclei ^98Zr, ^100Zr, ^102Zr,^104Zr are studied within the framework of the interacting boson model. The Hamiltonian matrix elements and some of their states have been respectively analyzed and determined with respect to the current nuclear experimental data. The B（E2） of electromagnetic transitions have also been calculated and the wave function structures also analyzed. The results show good agreement with the available experimental data. The present study shows that these series of nuclei are in the transition from U（5） to SU（3）, namely from vibration to rotation.
文摘Interacting Boson Model-2(IBM-2)is used to determine the Hamiltonian for Er nuclei.Fit values of parameters are used to construct the Hamiltonian,energy levels and electromagnetic transitions(B(E2),B(M1))multipole mixing ratios(δ(E2/M1))for some even-even Er nuclei and monopole transition probability are estimated.New ideas are used for counting bosons number at N=64 and results are compared with previous works.
基金Supported by National Natural Science Foundation of China(11875158,11875171)。
文摘The energy dependence of the spectral fluctuations in the interacting boson model(IBM)and its connections to the mean-field structures are analyzed by adopting two statistical measures:the nearest neighbor level spacing distribution P(S)measuring the chaoticity(regularity)in energy spectra and the Δ_(3)(L)statistics of Dyson and Metha measuring the spectral rigidity.Specifically,the statistical results as functions of the energy cutoff are determined for different dynamical scenarios,including the U(5)-SU(3)and SU(3)-O(6)transitions as well as those near the AW arc of regularity.We observe that most of the changes in spectral fluctuations are triggered near the stationary points of the classical potential,particularly for cases in the deformed region of the IBM phase diagram.Thus,the results justify the stationary point effects from the perspective of statistics.In addition,the approximate degeneracies in the 2^(+)spectrum on the AW arc is also revealed from the statistical calculations.
基金The project supported by the National Natural Science Foundation of China
文摘Starting from one of the microscopic sdg interacting boson approximations, the lead-ing terms in the interaction Hamiltonian are discussed by using numerical investigations. Com-parisons of both the calculated levels and the overlap of wave functions between the exact re-sults and the approximations are made to find out negligible part in the Hamiltonian. The re-sults show that the leading terms given in this paper may provide a way to simplify the complexcalculations.
基金Supported by NSFC(11465001,11165001)Natural Science Foundation of Inner Mongolia of China(2013MS0117)
文摘Within the framework of the interacting boson model- 1, the energy levels and electromagnetic transitions in 72-84Kr isotopes are calculated. The structures of the eigenstate and Hamiltonian matrix for some low-lying states are also calculated. The calculated results are compared with available experimental data, and the results are generally in good agreement. The present study shows that the 72,74,76,80,82,84Kr isotopes are in the transition from U（5）→ SU（3）, and 7SKr is in the transition from U（5）→ O（6）.
