In this work, we employ the Bethe-Salpeter (B-S) equation to investigate the spectra of free diquarks and their B-S wave functions. We find that the B-S approach can be consistently applied to study the diqaurks wit...In this work, we employ the Bethe-Salpeter (B-S) equation to investigate the spectra of free diquarks and their B-S wave functions. We find that the B-S approach can be consistently applied to study the diqaurks with two heavy quarks or one heavy and one light quarks, but for two light-quark systems, the results are not reliable. There are a few free parameters in the whole scenario which can only be fixed phenomenologically. Thus, to determine them, one has to study baryons which are composed of quarks and diquarks.展开更多
The widths for pionic decays of the lowest two excited doublets(0^(+),1^(+))and(1^(+),2^(+))of heavy mesons are studied with quantum Chromodynamics sum rules in the heavy quark effective theory.The interpolating curre...The widths for pionic decays of the lowest two excited doublets(0^(+),1^(+))and(1^(+),2^(+))of heavy mesons are studied with quantum Chromodynamics sum rules in the heavy quark effective theory.The interpolating currents used allow us to distinguish the two 1^(+)states without contamination in the infinite mass limit.The soft pion approximation is not used in the calculations.展开更多
基金The project partly supported by National Natural Science Foundation of China and the Special Fund for the Doctorate Programs of Universities. We highly benefit from discussions with Prof. C.H. Chang, who kindly introduces their new methods for numerically solving the B-S equation to us and indicates some important physics problems which we did not notice.
文摘In this work, we employ the Bethe-Salpeter (B-S) equation to investigate the spectra of free diquarks and their B-S wave functions. We find that the B-S approach can be consistently applied to study the diqaurks with two heavy quarks or one heavy and one light quarks, but for two light-quark systems, the results are not reliable. There are a few free parameters in the whole scenario which can only be fixed phenomenologically. Thus, to determine them, one has to study baryons which are composed of quarks and diquarks.
基金Supported by the National Natural Science Foundation of China under Grant No.19335043.
文摘The widths for pionic decays of the lowest two excited doublets(0^(+),1^(+))and(1^(+),2^(+))of heavy mesons are studied with quantum Chromodynamics sum rules in the heavy quark effective theory.The interpolating currents used allow us to distinguish the two 1^(+)states without contamination in the infinite mass limit.The soft pion approximation is not used in the calculations.