Abstract
We investigated the structure of baryons within a three-body quark model based on hypercentral approach. We considered an SU(6)-invariant potential consisting of the well-known “Coulomb-plus-linear” potential plus some multipole interactions as V (x) ∝ x −n with n > 2. Then, through an analytical solution, we obtained the energy eigenvalues and eigenfunctions of the three-body problem and evaluated some observables such as the mass spectrum of light baryons and both the electromagnetic elastic form factors, and the charge radii of nucleons. We compared our results with the experimental data and showed that the present model provides a good description of the observed resonances.
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M. Ronniger and B. Ch. Metsch, Eur. Phys. J. A 49, 8 (2013).
S. Capstick and W. Roberts, Prog. Part. Nucl. Phys. 45, S241 (2000).
L. Ya. Glozman and D. O. Riska, Phys. Rep. C 268, 263 (1996).
S. Capstick and B. D. Keister, Phys. Rev. D 51, 3598 (1995).
D. Merten, U. Löring, K. Kretzschmar, B. Metsch and H. R. Petry, Eur. Phys. J. A 14, 477 (2002).
R. Bijker, F. Iachello and A. Leviatan, Ann. Phys. (N.Y.) 236, 69 (1994).
M. Ferraris, M. M. Giannini, M. Pizzo, E. Santopinto and L. Tiator, Phys. Lett. B 364, 231 (1995).
T. Van Cauteren, J. Ryckebusch, B. Metsch, and H.-R. Petry, Eur. Phys. J. A 26, 339 (2005); Eur. Phys. J. A 31, 613 (2007).
M. De Sanctis, J. Ferretti, E. Santopinto and A. Vassallo, Phys. Rev. C 84, 055201 (2011).
E. Santopinto and M. M. Giannini, Phys. Rev. C 86, 065202 (2012).
N. Isgur and G. Karl, Phys. Rev. D 18, 4187 (1978).
S. Bali et al., Phys. Rev. D 62, 054503 (2000).
Y. Sumino, Phys. Lett. B 571, 173 (2003).
M. M. Giannini, E. Santopinto and A. Vassallo, Eur. Phys. J. A 25, 241 (2005).
W. Melnitchouk et al., Phys. Rev. D 67, 114506 (2003).
S. Aoki et al. (JLQCD Collaboration), Phys. Rev. D 68, 054502 (2003).
C. Alexandrou, P. de Forcrand and O. Jahn, Nucl. Phys. Proc. Suppl. 119, 667 (2003).
J. L. Ballot and M. Fabre de la Ripelle, Ann. Phys. (N.Y.) 127, 62 (1980).
C. D. Lin, Phys. Rep. 257, 1 (1995).
Yu. A. Simonov, Sov. J. Nucl. Phys. 3, 461 (1966).
V. Aqulanti and S. Tonzano, J. Chem. Phys. 126, 4066 (2004).
E. Santopinto, M. M. Giannini and F. Iachello, Symmetries in Science VII, edited by B. Gruber (Plenum Press, New York 1995), p. 445
F. Iachello, Symmetries in Science VII, edited by B. Gruber (Plenum Press, New York 1995), p. 213.
N. Isgur and G. Karl, Phys. Rev. D 20, 1191 (1979).
T. Kawanai and S. Sasaki, Phys. Rev. Lett. 107, 091601 (2011).
C. L. Pekeris, Phys. Rev. 45, 98 (1934).
C. Tezcan and R. Sever, Int. J. Theor. Phys. 48, 337 (2009).
V. H. Badalov, H. I. Ahmadov and A. I. Ahmadov, Int. J. Mod. Phys. E 18, 631 (2009).
M. Aslanzadeh and A. A. Rajabi, Chin. J. Phys. 53, 100301 (2015).
M. Aslanzadeh and A. A. Rajabi, Can. J. Phys. 94, 236 (2016).
F. Güersey and L. A. Radicati, Phys. Rev. Lett. 13, 173 (1964).
E. Santopinto, F. Iachello and M. M. Giannini, Eur. Phys. J. A 1, 307 (1998).
K. A. Olive et al. (Particle Data Group Collaboration), Chin. Phys. C 38, 090001 (2014).
F. J. Ernst, R. G. Sachs and K. C. Wali, Phys. Rev. 119, 1105 (1960).
R. G. Sachs, Phys. Rev. 126, 2256 (1962).
K. Melnikov and T. van Ritbergen, Phys. Rev. Lett. 84, 1673 (2000).
S. Kopecky, P. Riehs, J. A. Harvey and N. W. Hill, Phys. Rev. Lett. 74, 2427 (1995).
A. F. Sill et al., Phys. Rev. D 48, 29 (1993).
C. F. Perdrisat, V. Punjabi and M. Vanderhaeghen, Prog. Part. Nucl. Phys. 59, 694 (2007).
K. Hagiwara et al., Phys. Rev. D 66, 010001 (2002).
R. C. Walker et al., Phys. Rev. D 49, 5671 (1994).
J. Arrington, W. Melnitchouk and J. A. Tjon, Phys. Rev. C 76, 035205 (2007).
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Aslanzadeh, M., Rajabi, A.A. Systematic study of baryons in a three-body quark model. Journal of the Korean Physical Society 69, 716–725 (2016). https://doi.org/10.3938/jkps.69.716
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DOI: https://doi.org/10.3938/jkps.69.716