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Interactions Between Heavy Mesons And Baryons (Mesons)

Posted on:2018-06-24Degree:MasterType:Thesis
Country:ChinaCandidate:X F WangFull Text:PDF
GTID:2310330515955323Subject:Physics
Abstract/Summary:PDF Full Text Request
In the chiral SU(3)quark model and extended chiral SU(3)quark model,we study the properties of the heavy quark meson baryon interaction of all possible quantum numbers by using the resonant group method(RGM).Firstly,the systems of NDs(*)?NBs(*)??Ds(*)and ?Bs(*)with different quantum numbers are calculated and the numerical results show that the internal interactions within all the systems are weakly attractive,which are mainly provided by the ?meson exchange.Except for ?Bs(*),the interactions within other systems are similar in the two models,and in the extended chiral SU(3)quark model,especially in parameters ?,the attractive forces are greater than those in the chiral SU(3)quark model.The attractions in[?Bs*]3/2 system are also similar in the two models,and the attractive forces from parameters ? in the middle-long-range part are a little stronger.As for the[?Bs]3/2 and[?Bs*]5/2,systems,due to weakly repulsive forces in the short-range provided by vector meson K*in the extended chiral SU(3)quark model,the short-rang attractions given by parameters ? are slightly stronger than those from parameters ? and ?.It is found that the attractions between nucleon N or baryon ?and heavy flavor mesons Ds(*)and Bs(*)are not strong enough to form the corresponding bound states by solving the bound-state RGM equation.At the same time,the scattering phase shifts of all the S-wave systems are positive,to indicate the interactions are attractive.Except that the amplitudes of the[?Bs]3/2,and[?Bs*]5/2 systems in high-energy(short-range)region are a little higher in parameters ?,which represents that the corresponding attractions are a little greater,the amplitudes of other systems are higher in parameters ?.This conclusion agrees with that from the interaction analysis.All P-wave scattering phase shifts distribute near zero,which presents an weakly attractive trend.D-waves have almost no contribution.Secondly,the same research has been extended to N(?)s(*)?N(?)s(*)??(?)3(*)and?(?)s(*)systems with different quantum numbers.The theoretical results show that interactions in all systems are attractive.As for[N(?)s]1/2 and[N(?)S*]1/2,the short range attractions in parameters ? and ? are weaker than those in parameters ? due to the repulsive forces provided by vector meson K*,while the medium-long-distance attractions are stronger in the extended chiral SU(3)quark model since the attractive forces from ? meson are greater in parameters ? and ?.There is little difference between the short range interactions of the[N(?)s*]3/2,system in parameters ? and parameters ?.Overall,the attractions given by parameters ? are a little stronger.The internal interactions of N(?)s(*)systems are similar to those of N(?)s(*),and those of?(?)s(*)and ?(?)s(*)systems are also similar to those of ?Ds(*)and ?Bs(*),respectively.By solving the bound-state RGM equation,it is concluded that the attractions between nucleus N or baryon ? and the heavy mesons (?)s(*)?(?)s(*)sare not great enough to form bound states.Meanwhile,the results illustrate that the information given by the S-wave scattering phase shifts of each system is qualitatively consistent with the corresponding conclusion from the interaction analysis.The P-wave and D-wave scattering phase shifts tend to zero and have little effect.Finally,under the same three sets of parameters in the two models,the interactions between the heavy meson D and meson K with different spins is studied by using RGM when the isospin is I =0 or I = 1.The interactions between the meson D(D*)and the meson K(K*)are attractive in the medium-low-energy(medium-long-distance)region,which are mainly due to the exchange of ? meson between light quarks.When the isospin is I= 0,attractions within[DK]s=0,[D*K]s=1,[D*K*]s=oand[D*K*]s=1,systems are weaker in the extended chiral SU(3)quark model than those in the chiral SU(3)quark model since vector mesons provide relatively strong repulsive forces.The interactions in[D*K*]s=2 systems are weakly repulsive in the short range,and the repulsive force given by parameters I is slightly larger than those of the parameters II and III,because the vector mesons p and co are weakly attractive in the extended chiral SU(3)quark model.When the isospin is I = 1,the internal effective interactions of all the DK system with various spin quantum numbers are attractive in the three sets of parameters,and the attractions in the extended chiral SU(3)quark model,especially in parameters II,are greater than those in parameters I.Overall,the internal attractive forces of the isospin I = 1 systems are stronger than those of the isospin I=0 systems.The internal interactions of DK and DK systems with all quantum numbers are attractive.As for the special system[(?)k]s=0 with isospin I=1,since the vector mesons ? and ? provide weakly repulsive forces,the attractions in the extended chiral SU(3)quark model are weaker than those in the chiral SU(3)quark model,while the attractions of other systems in the extended chiral SU(3)quark model,especially in parameters ?,are larger.The results of solving bound-state RGM equation show that the attractions between the two clusters are not great enough to form corresponding bound states.This conclusion is in agreement with that from other theoretical methods.We also study the scattering phase shifts of S-,P-and D-wave systems and the results suggest that conclusions from the S-wave scattering phase shifts are consistent with those from the previous internal interaction analysis.The P-wave scattering phase shifts are near zero,which indicates trends of weak attraction.D-wave scattering phase shifts tend to zero and have almost no contribution.
Keywords/Search Tags:Chiral quark model, Resonant group method, Meson with heavy flavor, Scattering phase shift
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