2002Unpublished venueRequires access

ON THE MASS SPECTRA OF THE PSEUDOSCALAR MESONS IN THE RELATIVISTIC INDEPENDENT QUARK MODEL

V. V. Khruschev, S. Semenov

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Abstract

In the framework of the relativistic independent quark model with the QCD-motivated static potential, the masses of the ground states of pseudoscalar mesons and their radial excitations are calculated for both observed mesons and unobserved ones. The strength of the spinAspin interaction and the magnitude of the meaneld contribution are estimated for both the light and heavy 0 −+ mesons. The calculated masses are in agreement with experimental values within an accuracy of 30 ÷ 40 MeV, and the predictions are obtained for the mass values of a number of unobserved yet radial excitations of pseudoscalar mesons. ‚ · ³± I ·¥²OE¨¢¨¸E¸±µ° ³µ¤¥²¨ ´¥§ ¢¨¸¨³OI ±¢ ·±µ¢ ¸ S•-³µE¨¢¨·µ¢ ´´O³ ¸E E¨I¥¸±¨³ ¶µE¥´I¨ ²µ³ ¢OI¨¸²¥´O ³ ¸¸O µ¸´µ¢´OI ¸µ¸EµO´¨° ¶¸¥¢¤µ¸± ²O·´OI ³¥§µ´µ¢ ¨ ¨I · ¤¨ ²O´OI ¢µ§iE|¤¥´¨° ± ± ¤²O ¨§¢¥¸E´OI, E ± ¨ ¤²O ´¥¨§¢¥¸E´OI ¥Ð¥ ¸µ¸EµO´¨°. �I¥´¥´O ¢¥²¨I¨´ ¸¶¨´- ¸¶¨´µ¢µ£µ ¢§ ¨³µ¤¥°¸E¢¨O ¨ §´ I¥´¨¥ ¢±² ¤ ¸·¥¤´¥£µ ¶µ²O ¤²O ²¥£±¨I ¨ ¤²O EO|¥²OI 0 −+ -³¥§µ´µ¢. ‚OI¨¸²¥´´O¥ ³ ¸¸O ¸µ£² ¸EOE¸O ¸ O±¸¶¥·¨³¥´E ²O´O³¨ §´ I¥´¨O³¨ ¸ ¶µ£·¥I´µ¸EOO 30 ÷ 40 ŒO‚. �µ²EI¥´O E ±|¥ ¶·¥¤¸± § ´¨O §´ I¥´¨° ³ ¸¸ ¤²O · O¤ ´¥ µE±·OEOI ¶µ± · ¤¨ ²O´OI ¢µ§iE|¤¥´¨° ¶¸¥¢¤µ¸± ²O·´OI ³¥§µ´µ¢.

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What this paper is about

In the framework of the relativistic independent quark model with the QCD-motivated static potential, the masses of the ground states of pseudoscalar mesons and their radial excitations are calculated for both observed mesons and unobserved ones. The strength of the spinAspin interaction and the magnitude of the meaneld contribution are estimated for both the light and heavy 0 −+ mesons. The calculated masses are in agreement with experimental values within an accuracy of 30 ÷ 40 MeV, and the predictions are obtained for the mass values of a number of unobserved yet radial excitations of pseudoscalar mesons. ‚ · ³± I ·¥²OE¨¢¨¸E¸±µ° ³µ¤¥²¨ ´¥§ ¢¨¸¨³OI ±¢ ·±µ¢ ¸ S•-³µE¨¢¨·µ¢ ´´O³ ¸E E¨I¥¸±¨³ ¶µE¥´I¨ ²µ³ ¢OI¨¸²¥´O ³ ¸¸O µ¸´µ¢´OI ¸µ¸EµO´¨° ¶¸¥¢¤µ¸± ²O·´OI ³¥§µ´µ¢ ¨ ¨I · ¤¨ ²O´OI ¢µ§iE|¤¥´¨° ± ± ¤²O ¨§¢¥¸E´OI, E ± ¨ ¤²O ´¥¨§¢¥¸E´OI ¥Ð¥ ¸µ¸EµO´¨°. �I¥´¥´O ¢¥²¨I¨´ ¸¶¨´- ¸¶¨´µ¢µ£µ ¢§ ¨³µ¤¥°¸E¢¨O ¨ §´ I¥´¨¥ ¢±² ¤ ¸·¥¤´¥£µ ¶µ²O ¤²O ²¥£±¨I ¨ ¤²O EO|¥²OI 0 −+ -³¥§µ´µ¢. ‚OI¨¸²¥´´O¥ ³ ¸¸O ¸µ£² ¸EOE¸O ¸ O±¸¶¥·¨³¥´E ²O´O³¨ §´ I¥´¨O³¨ ¸ ¶µ£·¥I´µ¸EOO 30 ÷ 40 ŒO‚. �µ²EI¥´O E ±|¥ ¶·¥¤¸± § ´¨O §´ I¥´¨° ³ ¸¸ ¤²O · O¤ ´¥ µE±·OEOI ¶µ± · ¤¨ ²O´OI ¢µ§iE|¤¥´¨° ¶¸¥¢¤µ¸± ²O·´OI ³¥§µ´µ¢.

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Available abstract

In the framework of the relativistic independent quark model with the QCD-motivated static potential, the masses of the ground states of pseudoscalar mesons and their radial excitations are calculated for both observed mesons and unobserved ones. The strength of the spinAspin interaction and the magnitude of the meaneld contribution are estimated for both the light and heavy 0 −+ mesons. The calculated masses are in agreement with experimental values within an accuracy of 30 ÷ 40 MeV, and the predictions are obtained for the mass values of a number of unobserved yet radial excitations of pseudoscalar mesons. ‚ · ³± I ·¥²OE¨¢¨¸E¸±µ° ³µ¤¥²¨ ´¥§ ¢¨¸¨³OI ±¢ ·±µ¢ ¸ S•-³µE¨¢¨·µ¢ ´´O³ ¸E E¨I¥¸±¨³ ¶µE¥´I¨ ²µ³ ¢OI¨¸²¥´O ³ ¸¸O µ¸´µ¢´OI ¸µ¸EµO´¨° ¶¸¥¢¤µ¸± ²O·´OI ³¥§µ´µ¢ ¨ ¨I · ¤¨ ²O´OI ¢µ§iE|¤¥´¨° ± ± ¤²O ¨§¢¥¸E´OI, E ± ¨ ¤²O ´¥¨§¢¥¸E´OI ¥Ð¥ ¸µ¸EµO´¨°. �I¥´¥´O ¢¥²¨I¨´ ¸¶¨´- ¸¶¨´µ¢µ£µ ¢§ ¨³µ¤¥°¸E¢¨O ¨ §´ I¥´¨¥ ¢±² ¤ ¸·¥¤´¥£µ ¶µ²O ¤²O ²¥£±¨I ¨ ¤²O EO|¥²OI 0 −+ -³¥§µ´µ¢. ‚OI¨¸²¥´´O¥ ³ ¸¸O ¸µ£² ¸EOE¸O ¸ O±¸¶¥·¨³¥´E ²O´O³¨ §´ I¥´¨O³¨ ¸ ¶µ£·¥I´µ¸EOO 30 ÷ 40 ŒO‚. �µ²EI¥´O E ±|¥ ¶·¥¤¸± § ´¨O §´ I¥´¨° ³ ¸¸ ¤²O · O¤ ´¥ µE±·OEOI ¶µ± · ¤¨ ²O´OI ¢µ§iE|¤¥´¨° ¶¸¥¢¤µ¸± ²O·´OI ³¥§µ´µ¢.

Key concepts: Meson, Pseudoscalar, Physics, Particle physics, Quantum chromodynamics, Quark, Quark model, Spectral line

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