With quark-antiquark annihilation and creation in the first Born approximation, we study the reactions:K■→K■~*,K■→K~*■, πK→πK~*, πK→ρK, ππ→ K■~*, ππ→K~*■,ππ→K~*■~*,πρ→K■, πρ→K~*■~*,ρρ...With quark-antiquark annihilation and creation in the first Born approximation, we study the reactions:K■→K■~*,K■→K~*■, πK→πK~*, πK→ρK, ππ→ K■~*, ππ→K~*■,ππ→K~*■~*,πρ→K■, πρ→K~*■~*,ρρ→K~*■~*, K■~*→ρρ, and K~*■→pp. Unpolarized cross sections for the reactions are obtained from transition amplitudes that are composed of mesonic quark-antiquark relative-motion wave functions and the transition potential for quark-antiquark annihilation and creation. Using a quark-antiquark potential that is equivalent to the transition potential, we prove that the total spin of the two final mesons may not be equal to the total spin of the two initial mesons. Based on flavor matrix elements, cross sections for some isospin channels of reactions can be obtained from other isospin channels of the reactions. Remarkable temperature dependence of the cross sections was observed.展开更多
An effective potential in a meson-meson system is discussed based on the SU（3） chiral constituent quark model, and the analytic form of the potential is explicitly given. In addition, the effective potential is empl...An effective potential in a meson-meson system is discussed based on the SU（3） chiral constituent quark model, and the analytic form of the potential is explicitly given. In addition, the effective potential is employed to study the bound state problem of ωφ, which is related to the new resonance of f0（1810） observed in BES Ⅱ very recently.展开更多
In the framework of Regge phenomenology and meson meson mixing, this paper estimates the mass of isoscalar state （ss^-） of the 1^3D1 meson nonet, and the results given by two different approaches are 1735.51 ± ...In the framework of Regge phenomenology and meson meson mixing, this paper estimates the mass of isoscalar state （ss^-） of the 1^3D1 meson nonet, and the results given by two different approaches are 1735.51 ± 59MeV and 1730.29 ±46.SMeV.展开更多
In the qq quark model, the states π（1300）, η（1295） and η（1475） are assigned as the 2^1S0 meson nonet. The mass of the isodoublet remains interesting and needs further confirmation in experiments. This paper e...In the qq quark model, the states π（1300）, η（1295） and η（1475） are assigned as the 2^1S0 meson nonet. The mass of the isodoublet remains interesting and needs further confirmation in experiments. This paper employs the phenomenological trajectory on the （N, M^2）-plot and meson meson mixing methods to calculate the mass of this state, the calculated results are 1341 MeV and 1311.58 ± 59 MeV respectively. These predictions can be compared with experiments in the future.展开更多
Based on the meson-meson mixing and Regge trajectory, this paper establishes the mass relations which can describe the mass spectrum of 1^1 P1 meson state. Using these mass relations, it obtains the mass of K1B, hi （...Based on the meson-meson mixing and Regge trajectory, this paper establishes the mass relations which can describe the mass spectrum of 1^1 P1 meson state. Using these mass relations, it obtains the mass of K1B, hi （1380） and hc（1P） to be 1358.5MeV, 1468 MeV and 3543.9 MeV, respectively. The results are compared with other theoretical results and should be tested by experiments in the future.展开更多
The Schrodinger equation with a Yukawa type of potential is solved analytically.When different boundary conditions are taken into account,a series of solutions are indicated as a Bessel function,the first kind of Hank...The Schrodinger equation with a Yukawa type of potential is solved analytically.When different boundary conditions are taken into account,a series of solutions are indicated as a Bessel function,the first kind of Hankel function and the second kind of Hankel function,respectively.Subsequently,the scattering processes of K^(*)and D^(*)are investigated.In the K^(*)sector,the f_(1)(1285)particle is treated as a K^(*)bound state,therefore,the coupling constant in the K^(*)Yukawa potential can be fixed according to the binding energy of the f_(1)(1285)particle.Consequently,a K^(*)resonance state is generated by solving the Schrodinger equation with the outgoing wave condition,which lies at 1417-i18 MeV on the complex energy plane.It is reasonable to assume that the K^(*)resonance state at 1417-i18 MeV might correspond to the f_(1)(1420)particle in the review of the Particle Data Group.In the D^(*)sector,since the X(3872)particle is almost located at the D^(*)threshold,its binding energy is approximately equal to zero.Therefore,the coupling constant in the D^(*)Yukawa potential is determined,which is related to the first zero point of the zero-order Bessel function.Similarly to the K^(*)case,four resonance states are produced as solutions of the Schrodinger equation with the outgoing wave condition.It is assumed that the resonance states at 3885~i1 MeV,4029-i108 MeV,4328-i191 MeV and 4772-i267 MeV might be associated with the Zc(3900),the X(3940),theχ_(c1)(4274)andχ_(c1)(4685)particles,respectively.It is noted that all solutions are isospin degenerate.展开更多
We analyze ππ-KK and πη-Kk couple channel [1,1] matrix Padé amplitudes of SU(3) × SU(3) chiral perturbation theory.By fitting phase shift and inelasticity data,we determine pole positions in different ch...We analyze ππ-KK and πη-Kk couple channel [1,1] matrix Padé amplitudes of SU(3) × SU(3) chiral perturbation theory.By fitting phase shift and inelasticity data,we determine pole positions in different channels (f 0 (980),a 0 (980),f 0 (600),K*0 (800),K*(892),ρ(770)) and trace their N c trajectories.We stress that a couple channel Breit-Wigner resonance should exhibit two poles on different Riemann sheets and meet each other on the real axis when N c=∞.Poles are hence classified using this criteria and we conclude that K*(892) and ρ(770) are unambiguous Breit-Wigner resonances.For scalars the situation is much less clear.We find that f 0 (980) is a molecular state rather than a Breit-Wigner resonance,while a 0 (980),though behave oddly when varying N c,do maintain a twin pole structure.展开更多
In a previous paper [Commun. Theor. Phys., [arxiv：hep-ph/11081451]], guish poles of different dynamical origin, in unitarized amplitudes of ππ, K K system. that ＂A Breit-wigner resonance should exhibit two poles o...In a previous paper [Commun. Theor. Phys., [arxiv：hep-ph/11081451]], guish poles of different dynamical origin, in unitarized amplitudes of ππ, K K system. that ＂A Breit-wigner resonance should exhibit two poles on different Riemann sheets axis when Nc = ∞＂. In this paper, we extend our previous work [Commun. Theor. to the ππ-KK=ηη three channel system. We reconfirm most of the predictions in our Phys., [arxiv：hep-ph/11081451]]. Especially the fo（980） is of KK molecule nature. 0 Breit-WJgner type. we proposed a method to distinThat is based on the observation which meet each other on the real phys,[arXiv：hep,ph/11081451]]pres.ious work ： Theor. ther poles, including the σ,are of Breit-wigner type.展开更多
This paper discusses the masses and possible members of 2^1S0 and 2^3S1 meson multiplets in the framework of meson-meson mixing and Regge phenomenology. For the 2^1S0 meson nonet, K＊ （1460） may be the observed stat...This paper discusses the masses and possible members of 2^1S0 and 2^3S1 meson multiplets in the framework of meson-meson mixing and Regge phenomenology. For the 2^1S0 meson nonet, K＊ （1460） may be the observed state of the 2^1S0 isodoublet with a mass of 1400 MeV and the mass of w（1420） is 1412 MeV. For the 2^3S1 meson nonet, K＊（1410） seems too light to be the 2^3S1 ns member. The fact that the agreement between the present findings and those given by experiments and other different approaches is satisfactory implies that the assignments in this paper may be reasonable.展开更多
基金National Natural Science Foundation of China(11175111)
文摘With quark-antiquark annihilation and creation in the first Born approximation, we study the reactions:K■→K■~*,K■→K~*■, πK→πK~*, πK→ρK, ππ→ K■~*, ππ→K~*■,ππ→K~*■~*,πρ→K■, πρ→K~*■~*,ρρ→K~*■~*, K■~*→ρρ, and K~*■→pp. Unpolarized cross sections for the reactions are obtained from transition amplitudes that are composed of mesonic quark-antiquark relative-motion wave functions and the transition potential for quark-antiquark annihilation and creation. Using a quark-antiquark potential that is equivalent to the transition potential, we prove that the total spin of the two final mesons may not be equal to the total spin of the two initial mesons. Based on flavor matrix elements, cross sections for some isospin channels of reactions can be obtained from other isospin channels of the reactions. Remarkable temperature dependence of the cross sections was observed.
基金Supported by National Natrual Science Foundation (10775146, 10775148, 10975146, 11035006)Ministry of Science and Technology of China (2009CB825200)
文摘An effective potential in a meson-meson system is discussed based on the SU（3） chiral constituent quark model, and the analytic form of the potential is explicitly given. In addition, the effective potential is employed to study the bound state problem of ωφ, which is related to the new resonance of f0（1810） observed in BES Ⅱ very recently.
文摘In the framework of Regge phenomenology and meson meson mixing, this paper estimates the mass of isoscalar state （ss^-） of the 1^3D1 meson nonet, and the results given by two different approaches are 1735.51 ± 59MeV and 1730.29 ±46.SMeV.
文摘In the qq quark model, the states π（1300）, η（1295） and η（1475） are assigned as the 2^1S0 meson nonet. The mass of the isodoublet remains interesting and needs further confirmation in experiments. This paper employs the phenomenological trajectory on the （N, M^2）-plot and meson meson mixing methods to calculate the mass of this state, the calculated results are 1341 MeV and 1311.58 ± 59 MeV respectively. These predictions can be compared with experiments in the future.
文摘Based on the meson-meson mixing and Regge trajectory, this paper establishes the mass relations which can describe the mass spectrum of 1^1 P1 meson state. Using these mass relations, it obtains the mass of K1B, hi （1380） and hc（1P） to be 1358.5MeV, 1468 MeV and 3543.9 MeV, respectively. The results are compared with other theoretical results and should be tested by experiments in the future.
文摘The Schrodinger equation with a Yukawa type of potential is solved analytically.When different boundary conditions are taken into account,a series of solutions are indicated as a Bessel function,the first kind of Hankel function and the second kind of Hankel function,respectively.Subsequently,the scattering processes of K^(*)and D^(*)are investigated.In the K^(*)sector,the f_(1)(1285)particle is treated as a K^(*)bound state,therefore,the coupling constant in the K^(*)Yukawa potential can be fixed according to the binding energy of the f_(1)(1285)particle.Consequently,a K^(*)resonance state is generated by solving the Schrodinger equation with the outgoing wave condition,which lies at 1417-i18 MeV on the complex energy plane.It is reasonable to assume that the K^(*)resonance state at 1417-i18 MeV might correspond to the f_(1)(1420)particle in the review of the Particle Data Group.In the D^(*)sector,since the X(3872)particle is almost located at the D^(*)threshold,its binding energy is approximately equal to zero.Therefore,the coupling constant in the D^(*)Yukawa potential is determined,which is related to the first zero point of the zero-order Bessel function.Similarly to the K^(*)case,four resonance states are produced as solutions of the Schrodinger equation with the outgoing wave condition.It is assumed that the resonance states at 3885~i1 MeV,4029-i108 MeV,4328-i191 MeV and 4772-i267 MeV might be associated with the Zc(3900),the X(3940),theχ_(c1)(4274)andχ_(c1)(4685)particles,respectively.It is noted that all solutions are isospin degenerate.
基金Supported by National Natural Science Foundation of China under Grant Nos.10925522,10875001,and 11021092
文摘We analyze ππ-KK and πη-Kk couple channel [1,1] matrix Padé amplitudes of SU(3) × SU(3) chiral perturbation theory.By fitting phase shift and inelasticity data,we determine pole positions in different channels (f 0 (980),a 0 (980),f 0 (600),K*0 (800),K*(892),ρ(770)) and trace their N c trajectories.We stress that a couple channel Breit-Wigner resonance should exhibit two poles on different Riemann sheets and meet each other on the real axis when N c=∞.Poles are hence classified using this criteria and we conclude that K*(892) and ρ(770) are unambiguous Breit-Wigner resonances.For scalars the situation is much less clear.We find that f 0 (980) is a molecular state rather than a Breit-Wigner resonance,while a 0 (980),though behave oddly when varying N c,do maintain a twin pole structure.
基金Supported in part by National Nature Science Foundations of China under Grant Nos.10925522 and 10875001
文摘In a previous paper [Commun. Theor. Phys., [arxiv：hep-ph/11081451]], guish poles of different dynamical origin, in unitarized amplitudes of ππ, K K system. that ＂A Breit-wigner resonance should exhibit two poles on different Riemann sheets axis when Nc = ∞＂. In this paper, we extend our previous work [Commun. Theor. to the ππ-KK=ηη three channel system. We reconfirm most of the predictions in our Phys., [arxiv：hep-ph/11081451]]. Especially the fo（980） is of KK molecule nature. 0 Breit-WJgner type. we proposed a method to distinThat is based on the observation which meet each other on the real phys,[arXiv：hep,ph/11081451]]pres.ious work ： Theor. ther poles, including the σ,are of Breit-wigner type.
文摘This paper discusses the masses and possible members of 2^1S0 and 2^3S1 meson multiplets in the framework of meson-meson mixing and Regge phenomenology. For the 2^1S0 meson nonet, K＊ （1460） may be the observed state of the 2^1S0 isodoublet with a mass of 1400 MeV and the mass of w（1420） is 1412 MeV. For the 2^3S1 meson nonet, K＊（1410） seems too light to be the 2^3S1 ns member. The fact that the agreement between the present findings and those given by experiments and other different approaches is satisfactory implies that the assignments in this paper may be reasonable.
