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Prog. Theor. Phys. Vol. 69 No. 5 (1983) pp. 1467-1483

[ Full Text PDF : FREE ACCESS (785K) ]

A Deformable Bag Model of Hadrons. I

Haruo Ui and Koichi Saito

Department of Physics, Tohoku University, Sendai 980

(Received November 22, 1982)

Abstract:

As a generalization of the MIT spherical bag model, we construct the spheroidal bag model of hadron with an arbitrary eccentricity. This generalization is made by slightly modifying the MIT linear boundary condition : The linear boundary condition is examined in detail. Our model always satisfies two necessary requirements of the MIT bag model –i.e., n· j = 0, no quark colour flux leaves the bag, and qq = 0, the scalar density of quark should vanish on the bag surface– and it reduces to the MIT spherical bag model in the limit of zero-eccentricity. Lagrangian formalism of our model is briefly described.
The eigenfrequencies of a single massless quark confined in this spheroidal bag are numerically calculated. We obtain the level-splitting of the excited quark orbits, which is just analogous to the well-known Nilsson's splitting of single particle orbits in deformed nuclei. By using the numerical results of the lowest orbit, the effect of the bag-deformation on the mass of low-lying hadrons is estimated. It is found that, although the spherical bag is stable, the quark bag is extremely soft against the quadrupole deformation. Brief discussions are added on the mechanisms which make the spherical bag more stable.


URL : http://ptp.ipap.jp/link?PTP/69/1467/
DOI : 10.1143/PTP.69.1467

[ Full Text PDF : FREE ACCESS (785K) ] Citation:

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Citing Article(s) :

  1. Progress of Theoretical Physics Vol. 70 No. 2 (1983) pp. 488-498 :
    Axal Polarizability in the System of Two Chiral Nucleon Bags
    Koichi Saito
  2. Progress of Theoretical Physics Vol. 70 No. 6 (1983) pp. 1685-1688 :
    Baryon Spectra in a Relativistic Quark Model with Pion Field
    Tetsuo Hatsuda
  3. Progress of Theoretical Physics Vol. 71 No. 5 (1984) pp. 1020-1025 :
    A Deformable Bag Model of Hadrons. II
    Koichi Saito and Haruo Ui
  4. Progress of Theoretical Physics Vol. 78 No. 2 (1987) pp. 413-422 :
    Hadronic Parameters of Deformed MIT Bags
    Gérard Clement and Mustapha Maamache
  5. Progress of Theoretical Physics Vol. 79 No. 4 (1988) pp. 876-898 :
    Interaction between Two Quark Layers in Chiral Bag Model
    Ryozo Tamagaki and Toshitaka Tatsumi
  6. Progress of Theoretical Physics Vol. 86 No. 2 (1991) pp. 331-336 :
    Deformation Effects in One and Two Chiral Bags Studied with Use of the Finite Element Method
    Shin-ichi Nawa
  7. Progress of Theoretical Physics Vol. 91 No. 1 (1994) pp. 139-150 :
    A Rotating Bag Model for Hadrons. II
    Masaharu Iwasaki
  8. Progress of Theoretical Physics Vol. 108 No. 3 (2002) pp. 609-614 :
    Relationship between the Quark-Meson Coupling Model and Quantum Hadrodynamics
    Koichi Saito

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