Study Of B Meson Three-body Non-leptonic Decays With Perturbative QCD Factorization Approach

Since b quarks were discovered experimentally,the study of particles containing b quarks has become a hot topic in the field of particle physics.We call the study of particles containing b quarks B physics.Taking LHCb,Belle,Babar and other experimental projects as examples,people can find a large number of cases of B meson decay in experiments every year,which can help people to further study the basic properties of B meson.The study of the decay of B mesons is of great significance,as it provides a window into the origin of CP destruction,and provides a great deal of insight into the dynamics of QCD to further our understanding of the particle world.In order to calculate the B-meson decay effectively,people have developed a variety of methods after a lot of attempts.Among these methods,the perturbation QCD(pQCD)factorization approach has a wide range of calculation,it can simultaneously calculate the contribution items such as factorized graph,non-factorized graph and annihilation graph,and its function is very powerful.In this work,we use the pQCD factorization method to calculate the three-body decay of B meson,and finally get the results which basically accord with the experimental measurement.By considering the existence of vector or scalar intermediate resonant states in the three-body decay process,we can simplify the three-body decay of B meson to the quasi two-body decay,and then consider the two-body decay of intermediate resonant states on this basis.in the calculation,considering the existence of power depressing effect,we can conclude that there are two virtual gluons exchange in the leading order of B quark in the three-body decay of B meson.In this case,it is very difficult to directly calculate the decay amplitude.Light so we consider final state light meson meson for processing,we describe light meson under harmonic oscillator based on amplitude of the distribution of the wave function in the wave function at the same time to add the appropriate class shape factor,so that we can put the three body B meson decays into class two body decay calculation,calculation process is simplified greatly.This paper mainly studies the decay process of(?)(3686,3770)K-?+ and calculates the decay branching ratio.According to theoretical expectation and experimental findings,charm?(3686)and?(3770)meson is composed of a mixture of certain Angle ?(2S)and?(1D)meson states.In this work,S wave,P wave and D wave are calculated in detail.We consider resonance states of(?)(892)0,(?)(1410)0,(?)(1430)0,(?)(1680)0 and(?)(1430)0,in which(?);(1430)0 is the resonance state of the K-?+meson S wave,(?)(892)0,(?)(1410)0 and(?)(1680)0 is the resonance state of the K-?+meson P wave,and(?)(1430)0 is the resonance state of the K-?+ meson on D wave.For the mixing Angle of ?/(2S)and?(1D),we selected the mixing Angle ?=-(12�2)�and ?=(27�2)�according to the literature.On this basis,we calculate the decay branching ratio in the case of ?(2S)and?(ID)respectively.We find that the intermediate state(?)(892)0 is the largest decay trace in the decay process(?)?(2S,1D)K-?+.By comparing our calculated results with the experimental detection results,it can be seen that the calculated results of(?)(2S)K-?+and ?(2S)((?)(892)0?)K-?+ decay channels are in good agreement with the experimental detection results,which also verifies the correctness of the pQCD factorization approach and the applicability of the meson construction based on the harmonic oscillator basis to the wave function amplitude.However,other decay channels cannot be directly compared due to the temporary lack of experimental detection results.We look forward to further experimental detection results in the future.We find that for the decay channel(?)(3686)K-?+,after considering the mixing Angle in the calculation,the result of the calculation is very close to that of the decay channel(?)(2S)K-?+,which means that maybe ?(3686)and ?(2S)can be regarded as the same state.For the decay trace(?)(3770)K-?+,after considering the mixing Angle in the calculation,its decay branch is 2 to 4 times larger than that of(?)(1D)K-?+,which may be due to the small decay constant of ?(1D).We look forward to the observation of the(?)(3770)K-?+decay channel in the future,and further understanding of the internal mechanism of three-body decay and the 2S-1D mixing mechanism can be obtained based on the observation results.