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Semileptonic Decays B_c~*→η_cll with QCD Sum Rules
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作者 王志刚 《Communications in Theoretical Physics》 SCIE CAS CSCD 2014年第1期81-88,共8页
In this article, we calculate the B*→ηc form-factors with the three-point QCD sum rules, then study the semileptonic decays B*→ηclυl. The tiny decay widths may be observed experimentally in the future at the LH... In this article, we calculate the B*→ηc form-factors with the three-point QCD sum rules, then study the semileptonic decays B*→ηclυl. The tiny decay widths may be observed experimentally in the future at the LHCb, while the B*→ηc form-factors can be taken as basic input parameters in other phenomenologieal analysis. 展开更多
关键词 Bc^*-meson decays QCD sum rules semileptonic decays
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B→ρ(ω,φ)η(′)Decays and NLO Contributions in pQCD Approach 被引量:1
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作者 ZHANG Zhi-Qing XIAO Zhen-Jun 《Communications in Theoretical Physics》 SCIE CAS CSCD 2009年第5期885-894,共10页
By employing the perturbative QCD (pQCD) factorization approach, we calculate some important next- to-leading-order (NLO) contributions to the two-body charmless hadronic decays B^+ →ρ^+η(') and B^0 → ρ^... By employing the perturbative QCD (pQCD) factorization approach, we calculate some important next- to-leading-order (NLO) contributions to the two-body charmless hadronic decays B^+ →ρ^+η(') and B^0 → ρ^0(ω, φ)η('), induced by the vertex QCD corrections, the quark-loops as well as the chromo-magnetic penguins. From the numerical results and phenomenological analysis we find that (a) for B^± → ρ^±η(') (B^0 → ρ^0(ω, φ)η(')decays, the partial NLO contributions to branching ratios are small (large) in magnitude; and (b) the pQCD predictions for ACP^dir(B^± → ρ^±η(')) are consistent with the data, while the predicted .ACP(B^0 → ρ^0(ω)η(')) are generally large in magnitude and could be tested by the forthcoming LHCb experiments. 展开更多
关键词 pQCD factorization approach B meson decays branching ratio CP-violating asymmetry
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Bottomonium Spectrum and Decays with One Gluon Exchange Potential 被引量:1
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作者 Antony Prakash Monteiro K.B.Vijaya Kumar Bhaghyesh 《Communications in Theoretical Physics》 SCIE CAS CSCD 2011年第9期476-480,共5页
The phenomenological non-relativistic quark model (NRQM) has been employed to obtain the masses of bottomonium states. In the frame work of NRQM an exhaustive study of radiative and leptonic decays has been made. Th... The phenomenological non-relativistic quark model (NRQM) has been employed to obtain the masses of bottomonium states. In the frame work of NRQM an exhaustive study of radiative and leptonic decays has been made. The Hamiltonian used in the investigation has kinetic energy, confinement potentiM and one gluon exchange potential (OGEP). An overall agreement is obtained with the experimental masses and decay widths. 展开更多
关键词 quark model one gluon exchange potential bottomonium states leptonic and radiative decays
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Lepton Flavor Violating Decays τ → μM in the 331 Model
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作者 华天 岳崇兴 《Communications in Theoretical Physics》 SCIE CAS CSCD 2014年第9期388-392,共5页
Considering the experimental constraints on the free parameters of the 331 model with a leptonic sector consistent of five triplets, we investigate the lepton flavor violation(LFV) tau decays τ→μM with M = P and V,... Considering the experimental constraints on the free parameters of the 331 model with a leptonic sector consistent of five triplets, we investigate the lepton flavor violation(LFV) tau decays τ→μM with M = P and V,where P and V denote a pseudoscalar meson(π, η or η′) and a vector meson(ρ0, ω or φ), respectively. We find that the contributions of the 331 model to the LFV decays τ→μM mainly come from the new neutral gauge boson Z′. The 331 model considered in this paper can not make the values of the branching ratio Br(τ→μM) approach the corresponding experimental upper limits. 展开更多
关键词 LEPTON FAVOR VIOLATION tau decays the 331 MODEL
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A theoretical explanation of the decays of Majorana oscillations
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作者 Dong Pan 《Journal of Semiconductors》 EI CAS CSCD 2019年第5期5-6,共2页
Majorana zero modes in the hybrid semiconductor-superconductornanowire is one of the promising candidates for topologicalquantum computing. Recently, in nanowires with a superconductingisland, the signature of Majoran... Majorana zero modes in the hybrid semiconductor-superconductornanowire is one of the promising candidates for topologicalquantum computing. Recently, in nanowires with a superconductingisland, the signature of Majorana zero modescan be revealed as a subgap state whose energy oscillatesaround zero in magnetic field. This oscillation was interpretedas overlapping Majoranas. However, the oscillation amplitudeeither dies away after an overshoot or decays, sharply oppositeto the theoretically predicted enhanced oscillations for Majoranabound states, as the magnetic field increases. Several theoreticalstudies have tried to address this discrepancy, but arepartially successful. This discrepancy has raised the concernson the conclusive identification of Majorana bound states, andhas even endangered the scheme of Majorana qubits basedon the nanowires. 展开更多
关键词 A THEORETICAL EXPLANATION the decays of MAJORANA OSCILLATIONS
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Pure annihilation decays of B^(s)_(0)→a^(+)_(0)a^(−)_(0)and B^(0)_(d)→K^(∗+)_(0)K^(∗−)_(0)in the PQCD approac
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作者 Yutong Chen Zewen Jiang Xin Liu 《Communications in Theoretical Physics》 SCIE CAS CSCD 2021年第4期82-91,共10页
We study the CP-averaged branching fractions and the CP-violating asymmetries in the pure annihilation decays of B^(s)_(0)→a^(+)_(0)a^(−)_(0)and B^(0)_(d)→K^(∗+)_(0)K^(∗−)_(0),where a_(0)[K^(∗)_(0)]denotes the scala... We study the CP-averaged branching fractions and the CP-violating asymmetries in the pure annihilation decays of B^(s)_(0)→a^(+)_(0)a^(−)_(0)and B^(0)_(d)→K^(∗+)_(0)K^(∗−)_(0),where a_(0)[K^(∗)_(0)]denotes the scalar a_(0)(980)and a_(0)(1450)[K^(∗)_(0)(800)(orκ)and K^(∗)_(0)(1430)],with the perturbative QCD factorization approach under the assumption of two-quark structure for the a_(0)and K^(∗)_(0)states.The numerical results show that the branching ratios of the B^(0)_(d)→K^(∗+)_(0)K^(∗−)_(0)decays are in the order of 10^(−6),while the decay rates of the B^(s)_(0)→a^(+)_(0)a^(−)_(0)modes are in the order of 10−5.In light of the measured modes with the same quark components in the pseudoscalar sector,namely,B^(0)_(d)→K^(+)k_(-)and B^(0)_(s)→π^(+)π_(−),the predictions for the considered decay modes in this work are expected to be measured at the Large Hadron Collider beauty and/or Belle-Ⅱexperiments in the(near)future.Meanwhile,it is of great interest to find that the twist-3 distribution amplitudesφ^(S)andφ^(T)with inclusion of the Gegenbauer polynomials for the scalar a_(0)(1450)and K^(∗)_(0)(1430)states in scenario 2 contribute slightly to the branching ratios while significantly to the CP violations in the B^(0)_(d)→K^(∗)_(0)(1430)+K^(∗)_(0)(1430)−and B^(0)_(s)→a_(0)(1450)+a_(0)(1450)−decays,which indicates that,compared to the asymptoticφ^(S)andφ^(T),these Gegenbauer polynomials could change the strong phases evidently in these pure annihilation decay channels.These predictions await for the future confirmation experimentally,which could further provide useful information to help explore the inner structure of the scalars and shed light on the annihilation decay mechanism. 展开更多
关键词 B meson decays perturbative QCD factorization approach light scalar mesons branching ratios CP-violating asymmetries
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Semileptonic Decays of B_s^(**) Mesons into D_(s1) and D_(s2)~* in HQET
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作者 GAN Long-Fei HUANG Ming-Qiu 《Communications in Theoretical Physics》 SCIE CAS CSCD 2012年第1期85-92,共8页
In the framework of the heavy quark effective theory, the leading order Isgur-Wise functions relevant to semileptonie decays of the orbitally P-wave excited Bs meson states Bs*, including the newly found narrow Bs1 ... In the framework of the heavy quark effective theory, the leading order Isgur-Wise functions relevant to semileptonie decays of the orbitally P-wave excited Bs meson states Bs*, including the newly found narrow Bs1 (5830) andBs2(5840) states, into the (Ds1(2536), Ds2(2573)) doublet are calculated from QCD sum rules. With these universal form factors, the decay rates and branching ratios are also estimated. 展开更多
关键词 heavy quark effective theory semileptonic decays QCD sum rules Bs mesons
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B→K0^*(1430)K Decays in Perturbative QCD Approach
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作者 刘新 肖振军 《Communications in Theoretical Physics》 SCIE CAS CSCD 2010年第3期540-544,共5页
In this article, we calculate the branching ratios of B→K0^* (1430)K decays by employing the pertur-bative QCD (pQCD) approach at leading order. We perform the evaluations in the two scenarios for the scalar mes... In this article, we calculate the branching ratios of B→K0^* (1430)K decays by employing the pertur-bative QCD (pQCD) approach at leading order. We perform the evaluations in the two scenarios for the scalar meson spectrum. We find that (i) The leading order pQCD predictions for the branching ratio Br(B^+→K^+K0^*(1430)^0)are in good agreement with the experimental upper limit in both scenarios, while the pQCD predictions for other considered B→K0^*(1430)K decay modes are also presented and will be tested by the LHC experiments; (ii) The annihilation contributions play an important role in these considered decays, for B^0→K0^*(1430)^±K^± decays,for example,which are found to be (1-4)×10^-6. 展开更多
关键词 B meson decays branching ratios the perturbative QCD approach
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Study on the Effects of the Light CP-odd Higgs via the Leptonic Decays of Pseudoscalar Mesons
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作者 汤亮 柯红卫 李学潜 《Communications in Theoretical Physics》 SCIE CAS CSCD 2012年第11期732-738,共7页
To explain the anomALously large decay rate of ∑+→p+μ+μ-, it was proposed that a new mechanism where a light CP-odd pseudoscaJar boson of mAo = 214.3 MeV makes a crucial contribution. Later, some authors have s... To explain the anomALously large decay rate of ∑+→p+μ+μ-, it was proposed that a new mechanism where a light CP-odd pseudoscaJar boson of mAo = 214.3 MeV makes a crucial contribution. Later, some authors have studied the transition π0→e+e- and γ→γA10 in terms of the same mechanism and their result indicates that with the suggested mass one cannot fit the data. This discrepancy might be caused by experimental error of ∑+→p+μ+μ- because there were only a few events. Whether the mechanism is a reasonable one motivates us to investigate the transitions π0→e+e-;η(η′)→μ+μ-;ηc→μ+μ-;ηb→τ+τ- within the same framework. It is noted that for π0→ e+ e-, the standard model (SM) prediction is smaller than the data, whereas the experimental central value of η→μ+μ- is also above the SM prediction. It means that there should be extra contributions from other mechanisms and the contribution of A may be a possible one. Theoretically calculating the branching ratios of the concerned modes, we would cheek if we can obtain a univers mass for A10 which reconcile the theoretical predictions and data for all the modes. Unfortunately, we find that it is impossible conclude that the phenomenology does not favor such a to have such a mass with the same coupling|gt|. Therefore we light A10, even though a small window is still open. 展开更多
关键词 supersymmetric Higgs bosons supersymmetric models leptonic decays of pseudoscalar mesons
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Axion-Like Particles and the Higgs Decays h→PZ and h→Pe^+e^-
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作者 Zhong-Yuan An Chong-Xing Yue Zhi-Cheng Liu 《Chinese Physics Letters》 SCIE CAS CSCD 2018年第6期11-14,共4页
Axion-like particles(ALPs)are often defined as relatively light pseudoscalar particles and appear in many extensions of the Standard Model.Taking into account constraints on the free parameters from existing searche... Axion-like particles(ALPs)are often defined as relatively light pseudoscalar particles and appear in many extensions of the Standard Model.Taking into account constraints on the free parameters from existing searches and explaining the g-2 deviation,we consider the contributions of ALPs with mass in the range of 1.5GeV 展开更多
关键词 Axion-Like Particles and the Higgs decays h PZ and h PE
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Angular Distributions for φ' Sequential Decays into 2(π^+π^-)pp^-γ via XCJ
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作者 PING Rong-Gang 《Communications in Theoretical Physics》 SCIE CAS CSCD 2005年第6X期1050-1054,共5页
Amplitudes for φ(2S) sequential decays into 2(π^+π^-)pp^-γ via XCJ are constructed in effective coupling scheme. A Mote-Carlo simulation is carried out to study angular distributions of the decayed particles ... Amplitudes for φ(2S) sequential decays into 2(π^+π^-)pp^-γ via XCJ are constructed in effective coupling scheme. A Mote-Carlo simulation is carried out to study angular distributions of the decayed particles in laboratory system. The results can be taken as a reference for measuring the decay of XCJ into at BESⅡ/BEPC in the near future. 展开更多
关键词 charmonium decays Monte-Carlo simulation invanant amplitudes
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Effects of a Family Non-universal Z' Boson in B_d → μ^+μ^-and B^-→ π^-μ^+μ^-,ρ^-μ^+μ^-Decays
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作者 常钦 高银浩 《Communications in Theoretical Physics》 SCIE CAS CSCD 2012年第2期234-240,共7页
Motivated by the recently updated experimental measurement on Bd→μ^+μ^- and B^-→π^-μ+μ^- decays by CDF and Belle collaborations, we revisit these decays, as well as B^-→ρ^-μ^+μ^- decay, within the Standa... Motivated by the recently updated experimental measurement on Bd→μ^+μ^- and B^-→π^-μ+μ^- decays by CDF and Belle collaborations, we revisit these decays, as well as B^-→ρ^-μ^+μ^- decay, within the Standard Model, and evaluate the effects of a family non-universal Z' boson. Under the constraint from β(B- → π^-μ+μ^-), we find the ranges of the Z' couplings SLRμμ 〈 -5.2 × 10^-2 or Dμμ^LR 〈 -8.1 × 10^-2 are excluded. Within the allowed Z' parameters spaces, comparing with the SM predictions, we find that B(Bd→μ^+μ^-), B(B^-→π^-μ+μ^-), and B(B^-→ρ^-μ+μ^-) could be enhanced by a factor about 226%, 245%, and 254%, respectively, by Z' contributions. However, they are hardly to be reduced. Furthermore, the zero crossing in the normalized forward-backward asymmetry spectrum of B^-→ρ^-μ+μ^- decay at low dimuon mass always exists. 展开更多
关键词 B-PHYSICS rare decays beyond the standard model
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H^± Decays into W^± and a1 in the Next Minimal Supersymmetric Standard Model
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作者 Nguyen Chinh Cuong 《Journal of Physical Science and Application》 2014年第2期130-135,共6页
To solve the/a problem of the Minimal Supersymmetric Standard Model (MSSM), a single field S is added to build the Next Minimal Supersymmetric Standard Model (NMSSM). Vacuum enlarged with non-zero vevs of the neut... To solve the/a problem of the Minimal Supersymmetric Standard Model (MSSM), a single field S is added to build the Next Minimal Supersymmetric Standard Model (NMSSM). Vacuum enlarged with non-zero vevs of the neutral-even CP is the combination of Hu, Hd and S. In the NMSSM, the Higgs sector is increased to 7 (compared with 5 hogs in the MSSM), including three Higgs-which are the even-CP hi,2,3 (mh1〈 mh2〈 mh3), two Higgs-which are odd-CP a1,2 (ma1 〈 ma2) and a couple of charged Higgs H^±. The decays Higgs into Higgs is one of the remarkable new points of the NMSSM. In this paper, we study the decays H^± into W^± and at. The decay width is calculated to one loop vertex correction. The numerical results are also described together with evaluations. 展开更多
关键词 HIGGS decays NMSSM
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Strong Decays of Charm Mesons D_1~*(2680), D_3~*(2760), D_2~*(3000)
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作者 Zhi-Gang Wang 《Communications in Theoretical Physics》 SCIE CAS CSCD 2016年第12期671-674,共4页
In this article, we assign the higher charm mesons D1^*(2680), D3^*(2760), D2^*(3000) to be the 2S 1^-, 1D3^- and 1F 2^+ states, respectively, and study the two-body strong decays to the ground state charm m... In this article, we assign the higher charm mesons D1^*(2680), D3^*(2760), D2^*(3000) to be the 2S 1^-, 1D3^- and 1F 2^+ states, respectively, and study the two-body strong decays to the ground state charm mesons and light pseudoscalar mesons with the heavy meson effective theory. We obtain the ratios among the strong decays, which can be confronted to the experimental data in the future and shed light on the nature of those higher charm mesons. 展开更多
关键词 charm mesons strong decays
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An Explanation for the Violation of Lepton Universality in Beauty-Quark Decays: The Binary Isotope Mixture of Beauty-Quarks
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作者 Ding-Yu Chung 《Journal of Modern Physics》 2021年第7期971-982,共12页
This paper purposes an explanation for the recent evidence for the violation of lepton universality in beauty-quark decays at CERN’s Large Hadron Collider. A beauty meson (B<sup>+</sup>) transforms into a... This paper purposes an explanation for the recent evidence for the violation of lepton universality in beauty-quark decays at CERN’s Large Hadron Collider. A beauty meson (B<sup>+</sup>) transforms into a strange meson (K<sup>+</sup>) with the emission of either electron-positron (e<sup>+</sup>e<sup>-</sup>) or muon-antimuon (<span style="white-space:nowrap;"><em>μ</em></span><sup>+</sup><em>μ</em><sup>-</sup>). The ratio (<em>R</em><sub>K</sub>) of branching fractions for B<sup>+ </sup><span style="white-space:nowrap;">→</span> K<sup>+</sup><em>μ</em><sup>+</sup><em>μ</em><sup>- </sup>and B<sup>+</sup><span style="white-space:nowrap;">→</span> K<sup>+</sup>e<sup>+</sup>e<sup>-</sup> decays is measured to be <em>R</em><sub>K</sub> = 0.846 instead of 1 in the violation of lepton universality in the Standard Model. This paper proposes that the violation is derived from the binary isotope mixture of two beauty-quarks, b<sub>7</sub> (4979 MeV mass) and b<sub>8</sub> (143,258 MeV mass) whose masses are calculated from the periodic table of elementary particles. b<sub>7</sub> is the observable B, while b<sub>8</sub> is the hidden B to preserve the generation number symmetry between the three lepton family generations and the three quark family generations in the Standard Model. The preservation of the generation number symmetry forbids b<sub>8</sub> to decay into K<sup>+</sup><em>μ</em><sup>+</sup><em>μ</em><sup>-</sup>. In the transition state involving the virtual particles (<span style="white-space:nowrap;"><em>γ</em></span>, W± and Z<span style="white-space:nowrap;">°</span>) before the decay, b<sub>7</sub> and b<sub>8</sub> emerge to form the binary isotope mixture from B. The rates of emergence as the rates of diffuse in Graham’s law of diffusion are proportional to inverse square root of mass. The rate ratio between b<sub>8</sub>/b<sub>7</sub> is (4979/143,258)<sup>1/2</sup> = 0.1864. Since b<sub>7</sub> decays into K<sup>+</sup>, e<sup>+</sup>e<sup>-</sup>, and <em>μ</em><sup>+</sup><em>μ</em><sup>-</sup>, while b<sub>8</sub> decays into K<sup>+</sup>, e<sup>+</sup>e<sup>-</sup>, and forbidden <em>μ</em><sup>+</sup><em>μ</em><sup>-</sup>, the calculated ratio (RK) of branching fractions for B<sup>+</sup><span style="white-space:nowrap;">→</span> K<sup>+</sup><em>μ</em><sup>+</sup><em>μ</em><sup>-</sup> and B<sup>+</sup><span style="white-space:nowrap;">→</span> K<sup>+</sup>e<sup>+</sup>e<sup>- </sup>is 0.5/(0.1864 × 0.5+ 0.5) = 0.843 in excellent agreement with the observed 0.846. The agreement between the calculated RK and the observed RK confirms the validity of the periodic table of elementary particles which provides the answers for the dominance of matter over antimatter, dark-matter, and the mass hierarchy of elementary particles. 展开更多
关键词 Beauty-Quark decays Violation of Lepton Universality Periodic Table of Elementary Particles Binary Isotope Mixture of Beauty-Quarks Ratio of Branching Fractions Dark Matter Dominance of Matter over Antimatter
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p-wave mesons emitting weak decays of bottom mesons
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作者 Maninder Kaur Supreet Pal Singh R.C.Verma 《Chinese Physics C》 2025年第2期47-59,共13页
This paper is the extension of our previous work entitled''Searching a systematics for nonfactorizable contributions to B and B^(0)hadronic decays''.Obtaining the factorizable contributions from the sp... This paper is the extension of our previous work entitled''Searching a systematics for nonfactorizable contributions to B and B^(0)hadronic decays''.Obtaining the factorizable contributions from the spectator-quark model for Nc=3,a systematics was identified among the isospin reduced amplitudes for the nonfactorizable terms amongB→Dπ/D^(∗)π/Dρdecay modes.This systematics enables us to derive a generic formula to help predict the branching fractions forB^(0)−decays.Inspired by this observation,we extend our analysis to p-wave meson emitting decays of B−mesonB→PA/PT/PS,particularlyB→a_(1)D/πD_(1)/πD′1/πD_(2)/πD_(0),which have similar isospin structures and make predictions forB^(0)−decays,for which experimental measurements are not yet available. 展开更多
关键词 non factorization in B meson decays weak hadronic decays p-wave mesons
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Two-body strong decays of the hidden-charm tetraquark molecular states via QCD sum rules
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作者 Tao Hong Xiao-Song Yang Zhi-Gang Wang 《Chinese Physics C》 2025年第10期134-144,共11页
In this study,we extend our previous study on the D^(*)D^(*)molecular states with J^(PC)=0^(++),1^(+-),and 2^(++)to investigate their two-body strong decays via the QCD sum rules based on rigorous quark-hadron duality... In this study,we extend our previous study on the D^(*)D^(*)molecular states with J^(PC)=0^(++),1^(+-),and 2^(++)to investigate their two-body strong decays via the QCD sum rules based on rigorous quark-hadron duality.We obtain the partial decay widths and,therefore,the total widths of the ground states with J^(PC)=0^(++),1^(+-),and 2^(++),which indicate that it is reasonable to assign X_(2)(4014)as the D^(*)D^(*) tetraquark molecular states with J^(PC)=2^(++). 展开更多
关键词 X Y Z states QCD sum rules molecular states strong decays
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New horizon in particle physics:first observation of CP violation in baryon decays
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作者 Fu-Sheng Yu Cai-Dian Lü 《Science Bulletin》 2025年第13期2035-2036,共2页
A well-known problem in particle physics and cosmology is the observed matter–antimatter asymmetry in the Universe.According to the Big Bang theory,equal amounts of matter and antimatter should have been produced in ... A well-known problem in particle physics and cosmology is the observed matter–antimatter asymmetry in the Universe.According to the Big Bang theory,equal amounts of matter and antimatter should have been produced in the early universe.However,astrophysical observations show that the visible universe today is overwhelmingly dominated by matter. 展开更多
关键词 big bang theoryequal baryon decays CP violation particle physics matter antimatter asymmetry big bang theory
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Remarks on strong phase shifts in weak nonleptonic baryon decays
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作者 Hong-Jian Wang Pei-Rong Li +2 位作者 Xiao-Rui Lyu Jusak Tandean Hai-Bo Li 《Science Bulletin》 2025年第8期1183-1185,共3页
The matter-antimatter asymmetry observed in nature is one of the biggest mysteries in physics,and the resolution of this puzzle could be one of the necessary paths to identifying the ultimate theory of the universe.Th... The matter-antimatter asymmetry observed in nature is one of the biggest mysteries in physics,and the resolution of this puzzle could be one of the necessary paths to identifying the ultimate theory of the universe.The violation of the combined charge-conjugation and parity(CP)symmetry is one of the required ingredients for explaining this asymmetry[1]. 展开更多
关键词 ultimate theory CP violation weak nonleptonic baryon decays matter antimatter asymmetry resolution puzzle strong phase shifts
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Heron’s Triangles,Golden Section and Quantization of Decays of Scalar,Strange Mesons andΔ,N Baryons in the Hyperbolic Lobachevsky Velocity Space
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作者 Valeriy Pavlovich Khеn Aleksey Valerevich Khen 《Journal of Applied Mathematics and Physics》 2025年第10期3337-3351,共15页
The ends of the velocity vectors of the decay particles of resonance represent material points-velocities in the hyperbolic Lobachevsky velocity space of negative curvature k=−1/C2(C=1 is the speed of light,the rest m... The ends of the velocity vectors of the decay particles of resonance represent material points-velocities in the hyperbolic Lobachevsky velocity space of negative curvature k=−1/C2(C=1 is the speed of light,the rest masses of the decay particles are assigned to the points-velocities).Two points-velocities of the decay particles can be connected by a line segment and an arc of a line of constant curvature 0,called the oricycle.Archimedes’leverage laws define a 3rd point on the arc of the oricycle to which an additive mass(sum of rest masses of particles)is assigned.Connecting 3 points-velocities by line segments,we obtain isosceles triangles of decays of resonances in the Beltrami model of the Lobachevsky velocity space.In the decay triangles of resonances,the golden section is found and the Stewart,Brettschneider theorems on oricyclic arcs are satisfied.Near the decay triangles of scalar,strange mesons andΔ,N baryons,isosceles triangles-satellites with integer values of their characteristics were found.On the satellite triangles,the Lorentz invariant function—the product of the length of the arc of the oricycle subtending the base and the cotangent of half the angle at the vertex opposite the base—takes integer values.The function is called the oricyclic cotangent of a triangle(OCT).In addition to the integer values of OCT,these satellite triangles also have the sum of the hyperbolic cosines of the lengths of the lateral sides and the hyperbolic cosines of the base lengths equal to integers.These satellite triangles are called Heron triangles.On Heron triangles,the generalized cosines of the angles between the tangent to the oricycle at the point-velocity of the additive mass and the tan-gent at the point-velocity of the base of the triangle take multiples of 1/2 values. 展开更多
关键词 Lobachevsky Velocity Space Resonance Decay Triangles Oricyclic Cotangent Triangle Heron’s Hyperbolic Triangle Golden Section Stewart’s Theorem Bretschneider’s Theorem Quantization Resonance decays
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