Abstract
The Roper excitation is studied in the chiral bag plus skyrmion hybrid model. The lagrangian is expanded around the classical solution in the hedgehog vibrational mode. In the adiabatic approximation we find a self consistent solution for the fluctuating system of quarks and pions up to the first order of the fluctuations. Only half of the excitation energy was found in the phase shift analysis. It is also discussed that the system is stable for all bag radii against the hedgehog vibration.
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Adkins, G.S., Nappi, C.R., Witten, E.: Nucl. Phys. B228 552 (1983); Skyrme, T.H.R.: Proc. R. Soc. London A260, 127 (1961); Nucl. Phys. 31, 556 (1962)
Zahed, I., Brown, G.E.: Phys. Rep.142 1 (1986)
Vepstas, L., Jackson, A.D., Goldhaber, A.S.: Phys. Lett.140B, 280 (1984); Brown, G.E., Jackson, A.D., Rho, M., Vento, V.: Phys. Lett. 140B, 285 (1984); Mulders, P.J.: Phys. Rev. D30, 1073 (1984)
Hosaka, A., Toki, H.: Phys. Lett.167B, 153 (1986)
Breit, J.D., Nappi, C.R.: Phys. Rev. Lett.53, 889 (1984)
Zahed, I., Meissner, U-G., Kaufluss, U.B.: Nucl. Phys. A426, 525 (1984)
Mattis, M.P., Peskin, M.E.: Phys. Rev. D32, 58 (1985); Mattis, M.P.: SLAC Report 291, February 1986
Walliser, H., Eckart, G.: Nucl. Phys. A429, 514 (1984)
Hayashi, A., Eckart, G., Holzwarth, G., Walliser, H.: Phys. Lett.147B, 5 (1984); Hajduk, C., Schwesinger, B.: Phys. Lett.140B, 172 (1984)
Kaulfus, V.B., Meissner, U-G.: Phys. Lett.154B, 193 (1985)
Zahed, I., Meissner, U-G., Wirzba, A.: Phys. Lett. 140B, 117 (1984): Zahed, I., Wirzba, A., Meissner, U-G.: Ann. Phys.165, 406 (1985)
Brown, G.E., Song, H.Q., Su, R.K., Lie, K.F.: Nucl. Phys. A458, 573 (1986)
Brown, G.E., Rho, M., Weise, W.: Nucl. Phys. A454, 669 (1986)
Schiff, L.I.: Quantum mechanics. London, New York: McGraw-Hill 1970
Nadkarni, S., Nielsen, H.B., Zahed, I.: Nucl. Phys. B253, 308 (1985)
Zahed, I., Klabucar, D.: Phys. Rev. D30, 2647 (1984)
Brown, G.E., Durso, J.D., Johnson, M.B.: Nucl. Phys. A454, 669 (1986); Hatsuda, T.: Nucl. Phys. A458, 583 (1986)
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We thank T. Hatsuda and Ulf-G. Meissner for stimulating discussions and critical comments on our earlier work of this subject. One of us (A.H.) also thanks W. Weise for his comments. Numerical calculations were performed by FACOM M380 at INS, University of Tokyo.
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Hosaka, A., Toki, H. Pion fluctuation around the hedgehog solution in the chiral bag plus skyrmion hybrid model. Z. Physik A - Atomic Nuclei 330, 111–116 (1988). https://doi.org/10.1007/BF01287272
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DOI: https://doi.org/10.1007/BF01287272