1979 Vol. 3, No. 2
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Abstract:
Existing data of rapidity patterns of charged particles can be utilized to determinesome important types of inclusive spectra of nearby particles.Some of these types maybe used to study such open or controversal problems as the size of the cluster,thelocal conservation of charges,the effect of Bose-Einstein statistics etc.The statisticsof these patterns is in general sufficient for inclusive spectra of nearby particles in-cluding 2 to 3 parameters and variables,and insufficient for those including 4 to 5variables.In the latter case we introduce two special methods for the organization ofdata:one of them is to find various types of‘averages’over rapidity intervals of thenearby particles,and the other is to find inclusive spectra of nearby particles in theneighborhood of the maximum point.By means of these methods,some special featuresof inclusive spectra of nearby particles including 4 to 5 parameters and variables,may be significantly determined.The fragmentation model,advanced by Yang and collaborators,the one-dimen-sional version of Chew-Pignotti model with and without diffraction,and the inde-pendent cluster emission model in the form proposed by Quigg and collaborators,areused to calculate crudely the finestructures of inclusive and semi-inclusive spectra aswell as to test the sum rules and the generalized form of Feynman-Yang scaling.
Existing data of rapidity patterns of charged particles can be utilized to determinesome important types of inclusive spectra of nearby particles.Some of these types maybe used to study such open or controversal problems as the size of the cluster,thelocal conservation of charges,the effect of Bose-Einstein statistics etc.The statisticsof these patterns is in general sufficient for inclusive spectra of nearby particles in-cluding 2 to 3 parameters and variables,and insufficient for those including 4 to 5variables.In the latter case we introduce two special methods for the organization ofdata:one of them is to find various types of‘averages’over rapidity intervals of thenearby particles,and the other is to find inclusive spectra of nearby particles in theneighborhood of the maximum point.By means of these methods,some special featuresof inclusive spectra of nearby particles including 4 to 5 parameters and variables,may be significantly determined.The fragmentation model,advanced by Yang and collaborators,the one-dimen-sional version of Chew-Pignotti model with and without diffraction,and the inde-pendent cluster emission model in the form proposed by Quigg and collaborators,areused to calculate crudely the finestructures of inclusive and semi-inclusive spectra aswell as to test the sum rules and the generalized form of Feynman-Yang scaling.
Abstract:
By using Ward Identities,the relations between the kernels of the mesonic andbaryonic Bethe-Salpeter equation and their transition matrix elements of the electriccurrent are obtained.These relations are the constraints for the assumptions underly-ing the discussion of the equations and the transition matrix elements.These constraintsguarantee the conservation of the electomagnetic current.When the contribution ofthe straton loop diagrams is neglected the kernels of the transition matrix elementsof the electromagnetic current can be computed,from the kernels of B-S equation byusing the retations given by Ward Identities.Under the potential assumption for thekernels of the equation,expressions of the kernels of the transition matrix elements areobtanied.The transition matrix elements of the electomagnetic current can be computedby using the kernels of the equation and the solved wave functions.
By using Ward Identities,the relations between the kernels of the mesonic andbaryonic Bethe-Salpeter equation and their transition matrix elements of the electriccurrent are obtained.These relations are the constraints for the assumptions underly-ing the discussion of the equations and the transition matrix elements.These constraintsguarantee the conservation of the electomagnetic current.When the contribution ofthe straton loop diagrams is neglected the kernels of the transition matrix elementsof the electromagnetic current can be computed,from the kernels of B-S equation byusing the retations given by Ward Identities.Under the potential assumption for thekernels of the equation,expressions of the kernels of the transition matrix elements areobtanied.The transition matrix elements of the electomagnetic current can be computedby using the kernels of the equation and the solved wave functions.
Abstract:
In this paper,the theory of mesonic Bethe-Salpeter equation with instantaneousinteraction is generalized to the case where the mass of the straton is not equal tothat of the antistraton.Assuming that the stratons are heavy and the interaction isdominantly a pseudoscalar potential and a static vector potential,we derive the SU(4)mass splitting for mesons.The difficulties encountered by the first order SU(4)massrelations after the discovery of charmed particles are analyzed.It is pointed out thatthese difficulties disappear in our mass relations.In particular,the mass formulaobtained with the potential of harmonic oscillator may explain not only the masses ofboth ground states and radial excited states,but also the effective masses of stratons,while the latter is compatible with the mass values for explaining the magnetic momentsof baryons.Finally,we discuss the newly discovered heavy particle Υ using our mass relations.
In this paper,the theory of mesonic Bethe-Salpeter equation with instantaneousinteraction is generalized to the case where the mass of the straton is not equal tothat of the antistraton.Assuming that the stratons are heavy and the interaction isdominantly a pseudoscalar potential and a static vector potential,we derive the SU(4)mass splitting for mesons.The difficulties encountered by the first order SU(4)massrelations after the discovery of charmed particles are analyzed.It is pointed out thatthese difficulties disappear in our mass relations.In particular,the mass formulaobtained with the potential of harmonic oscillator may explain not only the masses ofboth ground states and radial excited states,but also the effective masses of stratons,while the latter is compatible with the mass values for explaining the magnetic momentsof baryons.Finally,we discuss the newly discovered heavy particle Υ using our mass relations.
Abstract:
A bi-periodic accelerator structure with coupling cavity of arrow-shaped cross-section is described in this paper.This structure has the advantages of loose dimen-sional tolerance,simplicity in fabrication,convenience to feed RF power and good heatconductivity.Certain features of this structure are discussed and some useful datapertaining to concrete accelerator design are also included.
A bi-periodic accelerator structure with coupling cavity of arrow-shaped cross-section is described in this paper.This structure has the advantages of loose dimen-sional tolerance,simplicity in fabrication,convenience to feed RF power and good heatconductivity.Certain features of this structure are discussed and some useful datapertaining to concrete accelerator design are also included.
Abstract:
Hadronic production of J/ψ、ψ′(3684) particles is discussed in this paper on thebasis of reference [1] after considering the massive effects of the charmed straton.The results of [1] are improved.With the aid of the decay of ψ″→DD and the effective coupling constant between ψ″(3772) and the charmed straton we estimate that the content of the charmed stratonin the sea of the stratons is 0.41% of the ordinary stratons at most.
Hadronic production of J/ψ、ψ′(3684) particles is discussed in this paper on thebasis of reference [1] after considering the massive effects of the charmed straton.The results of [1] are improved.With the aid of the decay of ψ″→DD and the effective coupling constant between ψ″(3772) and the charmed straton we estimate that the content of the charmed stratonin the sea of the stratons is 0.41% of the ordinary stratons at most.
Abstract:
Under the framework of the Bakamjian-Thomas theory,we discuss the qualitativeproperties of the phenomenological nuclear force V=VR-iV1 at high energy arediscussed by a comparision with the small angle scattering data.Because these data inhigh energy are insensitive to the spin,we suppose that the nuclear force at highenergies is spin-independent.The followings are obtained:i)for the Gaussian potential,X3≌200 MeV and β3≌0.95 fm,which are thestrength and the range of V1 respectively;ii)in VR,there is no hard repulsive core.Under a rough estimation,supposingthe range β1>0.45 fm,we find the strength of the repulsive force,X1<480 MeV;iii)all parameters are vary very slowly with energy.
Under the framework of the Bakamjian-Thomas theory,we discuss the qualitativeproperties of the phenomenological nuclear force V=VR-iV1 at high energy arediscussed by a comparision with the small angle scattering data.Because these data inhigh energy are insensitive to the spin,we suppose that the nuclear force at highenergies is spin-independent.The followings are obtained:i)for the Gaussian potential,X3≌200 MeV and β3≌0.95 fm,which are thestrength and the range of V1 respectively;ii)in VR,there is no hard repulsive core.Under a rough estimation,supposingthe range β1>0.45 fm,we find the strength of the repulsive force,X1<480 MeV;iii)all parameters are vary very slowly with energy.
Abstract:
We discuss a model of quantum chromodynamics in 1+1 dimension.Using't Hooft's 1/N expansion and considering the effects of the infrared structure in non-Abelian gauge theories by assuming that the coupling g2(t)~1/tκ-1,the Straton's Pro-pagator and the Bethe-Salpeter equation of mesons are obtained;the propertiesof the meson wave functions and their characteristics are also discussed.From thebehaviour of the electromagnetic form factors and the deep inelastic scattering struc-ture functions obtained,it follows that κ≤2.
We discuss a model of quantum chromodynamics in 1+1 dimension.Using't Hooft's 1/N expansion and considering the effects of the infrared structure in non-Abelian gauge theories by assuming that the coupling g2(t)~1/tκ-1,the Straton's Pro-pagator and the Bethe-Salpeter equation of mesons are obtained;the propertiesof the meson wave functions and their characteristics are also discussed.From thebehaviour of the electromagnetic form factors and the deep inelastic scattering struc-ture functions obtained,it follows that κ≤2.
Abstract:
Using Glauber theory,the π-12C elastic and inelastic scattering differential cross-sections at the energies 260 and 280 MeV are calculated and analyzed.Comparing withthe experimental data,better fits are obtained.
Using Glauber theory,the π-12C elastic and inelastic scattering differential cross-sections at the energies 260 and 280 MeV are calculated and analyzed.Comparing withthe experimental data,better fits are obtained.
Abstract:
Using a“preselection-register-operation for reselection”program,a selection systemof the Yunan big cloud chamber set used for cosmic ray reseach is projected andconstructed.A small on-line digital computation technigue is applied to the momentumselector of the system,and a special computation element is designed.According tothe deflection angle and momentum of a charged particle passing through the magniticfield,computation and logieal judgment can be done immediately for the track signal registered before.
Using a“preselection-register-operation for reselection”program,a selection systemof the Yunan big cloud chamber set used for cosmic ray reseach is projected andconstructed.A small on-line digital computation technigue is applied to the momentumselector of the system,and a special computation element is designed.According tothe deflection angle and momentum of a charged particle passing through the magniticfield,computation and logieal judgment can be done immediately for the track signal registered before.
Abstract:
It is proved that under the Gelfand-Biedenharn phase convention any SUn singletfactor (SF) belongs to the type of the derivable or underivable,designated as (SUnSF)d and (SUr SF) respectively,and (SUn SF)d=(SUr SF),n=r+1,r+2,….Therefore the calculation of any SUn Clebsch-Gordan coefficients is reduced to thecalculation of a few underivable singlet factor (SUr SF).
It is proved that under the Gelfand-Biedenharn phase convention any SUn singletfactor (SF) belongs to the type of the derivable or underivable,designated as (SUnSF)d and (SUr SF) respectively,and (SUn SF)d=(SUr SF),n=r+1,r+2,….Therefore the calculation of any SUn Clebsch-Gordan coefficients is reduced to thecalculation of a few underivable singlet factor (SUr SF).
Abstract:
In this paper,we have analyzed the experimental results of the quasifree scattering6Li(p,pd)a with Ep=156 MeV.Both PWIA and DWIA are performed.UsingDWIA and the relative wave function proposed by Sakamoto et al.,the results of ourcalculation agree better with the experiment.
In this paper,we have analyzed the experimental results of the quasifree scattering6Li(p,pd)a with Ep=156 MeV.Both PWIA and DWIA are performed.UsingDWIA and the relative wave function proposed by Sakamoto et al.,the results of ourcalculation agree better with the experiment.
Abstract:
Bringing together the gauge space into consideration,the sudden transition ofnuclear shape can be analyzed in association with that of pair correlation.Thus,notonly the dramatic retardation of the E2 transition rate at the backbending can be reasona-bly used as a criterion for establishing the shape transition,but also the interplay ofnuclear deformation and pair correlation can be clearly shown.
Bringing together the gauge space into consideration,the sudden transition ofnuclear shape can be analyzed in association with that of pair correlation.Thus,notonly the dramatic retardation of the E2 transition rate at the backbending can be reasona-bly used as a criterion for establishing the shape transition,but also the interplay ofnuclear deformation and pair correlation can be clearly shown.
Abstract:
It is shown that even if the nucleon-nucleon interactions contain many-body forces,the discrete energy eigenvalues εγ determined by the non-hermitian sp potential uαβ=Mαβ(εβ)still possess the following properties:Gγα(εγ)=∞,for at least one α,Since the points at which Gγα(ω) tends to ∞ areeither its poles or the heads of its branch cuts (where Gγα(ω) is log-divergent),itfollows that εγ are real and satisfy the relation.εγ=±[Enγ(N±1)-E0(N)].
It is shown that even if the nucleon-nucleon interactions contain many-body forces,the discrete energy eigenvalues εγ determined by the non-hermitian sp potential uαβ=Mαβ(εβ)still possess the following properties:Gγα(εγ)=∞,for at least one α,Since the points at which Gγα(ω) tends to ∞ areeither its poles or the heads of its branch cuts (where Gγα(ω) is log-divergent),itfollows that εγ are real and satisfy the relation.εγ=±[Enγ(N±1)-E0(N)].
Abstract:
The deep inelastic scattering of 71.5 12C ions on a 27Al target was measured.ΔE-E telescope was used to identify the reaction products.The contour plots in the E-θ plane for the measured cross sections in the C.M.S.for B and Be show the generalfeatures of quasi-elastic scattering at grazing angles and the deep inelastic scatteringridge extending from smaller angles and flattening at larger ones.Two special featuresmay be worthwhile to mention.First,there are some fine structures near the Q.E.peak.Secondly,the average C.M.kinetic energy of the completely damped part is notequal to the Coulomb energy of the final state.
The deep inelastic scattering of 71.5 12C ions on a 27Al target was measured.ΔE-E telescope was used to identify the reaction products.The contour plots in the E-θ plane for the measured cross sections in the C.M.S.for B and Be show the generalfeatures of quasi-elastic scattering at grazing angles and the deep inelastic scatteringridge extending from smaller angles and flattening at larger ones.Two special featuresmay be worthwhile to mention.First,there are some fine structures near the Q.E.peak.Secondly,the average C.M.kinetic energy of the completely damped part is notequal to the Coulomb energy of the final state.
Abstract:
In this paper,we suggest a two-nucleon model of the A(p,π-) B reaction.Areduced formulation of the reactoin amplitude and a relation between the reactionamplitude and the nuclear structure are given.The differential cross section of 13C(p,π-)14Og.s,at EP=185 MeV is calculated in the plane wave approximation.The results+s can explain the experimental data qualilatively.
In this paper,we suggest a two-nucleon model of the A(p,π-) B reaction.Areduced formulation of the reactoin amplitude and a relation between the reactionamplitude and the nuclear structure are given.The differential cross section of 13C(p,π-)14Og.s,at EP=185 MeV is calculated in the plane wave approximation.The results+s can explain the experimental data qualilatively.
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