Light D wave meson spectrum in a relativistic harmonic model with instanton induced interaction

ABSTRACT

The mass spectrum of the D wave mesons is considered in the frame work of relativistic harmonic model (RHM). The full Hamiltonian used in the investigation has the Lorentz scalar plus a vector harmonic-oscillator potential, the confined-one-gluon-exchange potential (COGEP) and the instanton-induced quark-antiquark interaction (III). A good agreement between calculated D wave meson masses with experimental D wave meson masses is obtained. The respective role of III and COGEP in the D wave meson spectrum is discussed.

The mass spectrum of the D wave mesons is considered in the frame work of relativistic harmonic model (RHM). The full Hamiltonian used in the investigation has the Lorentz scalar plus a vector harmonic-oscillator potential, the confined-one-gluon-exchange potential (COGEP) and the instanton-induced quark-antiquark interaction (III). A good agreement between calculated D wave meson masses with experimental D wave meson masses is obtained. The respective role of III and COGEP in the D wave meson spectrum is discussed.

Cite this paper

Monteiro, A. and Kumar, K. (2010) Light D wave meson spectrum in a relativistic harmonic model with instanton induced interaction.*Natural Science*, **2**, 1292-1297. doi: 10.4236/ns.2010.211156.

Monteiro, A. and Kumar, K. (2010) Light D wave meson spectrum in a relativistic harmonic model with instanton induced interaction.

References

[1] Bhaduri, R.K., Cohler, L.E. and Nogami, Y. (1981) A unified potential for mesons and baryons. Nuovo Cimento A, 65, 376-390.

[2] Godfrey, S. and Isgur, N. (1985) Mesons in a relativised quark model with chromodynamics. Physical Review D, 32, 189-231.

[3] Vinodkumar, P.C., Vijaya Kumar, K.B. and Khadkikar, S.B. (1992) Effect of the confined gluons in quark-quark interaction. Pramana-Journal of Physics, 39, 47-70.

[4] De Rujula, A., Georgi, H. and Glashow, S.L. (1975) Hadron masses in a gauge theory. Physical Review D, 12, 147-162.

[5] ‘t. Hooft, G. (1976) Computation of the quantum effects due to a four dimensional pseudoparticle. Physical Review D, 14, 3432-3450.

[6] Vijaya Kumar, K.B., Hanumaiah, B. and Pepin, S. (2004) Meson spectrum in a relativistic harmonic model with instanton- induced interaction. The European Physical Journal A, 19, 247-250.

[7] Blask, W.H., Bohn, U., Huber, M.G., Metsch, B.C. and Petry, H.R. (1990) Hadron spectroscopy with insatanton induced quark forces.Z. Journal of Physics A, 337, 327- 335.

[8] Brau, F., Semay, C. and Silvestre- Brac, B. (2000) Semiclassical model of light mesons. Physical Review D, 62, 1175011-1175014.

[9] Semay, C. and Silvestre- Brac, B. (1997) Potential models and meson spectra. Nuclear Physics A, 618, 455-482.

[10] Semay, C. and Silvestre-Brac, B. (1999) Determination of quark- antiquark potentials and meson spectra. Nuclear Physics A, 647, 72-96.

[11] Bhavyashri, Vijaya Kumar, K.B., Hanumaiah, B., Sarangi, S. and Zhou, S.G. (2005) Meson spectrum in a non relativistic model with instanton-induced interaction. Journal of Physics G: Nuclear and Particle Physics, 31, 981-986.

[12] Bhavyashri, Prakash, A., Ma, Y.L. and Vijaya Kumar, K.B. (2009) P wave meson spectrum in a relativistic model with instanton induced interaction. International Journal of Modern Physics A, 24, 4209-4220.

[13] Khadkikar, S.B. and Gupta, S.K. (1983) Magnetic moments of light baryons in harmonic Model. Physics Letters B, 124, 523-526.

[14] Khadkikar, S.B. and Vijaya Kumar, K.B. (1991) N-N scattering with exchange of confined gluons. Physics Letters B, 254, 320-324.

[15] Vijaya Kumar, K.B. and Khadkikar, S.B. (1998) Spin observables of the NN interaction in a relativistic harmonic model with confined gluons and mesons. Pramana Journal of Physics, 50, 149-153.

[16] Monteiro, A.P. and Vijaya Kumar, K.B. (2009) Ground state meson spectrum in a relativistic model with instanton induced interaction. Communications in theoretical Physics, 52, 1-6,

[17] Burakovsky, L. and Goldman, T. (1997) On D-wave meson spectroscopy and the K*(1410) - K*(1680) problem. Nuclear Physics A, 625, 220-230.

[18] Amsler, C. et al. (2008) Particle Data Group, Physical Letters B, 667, 1

[1] Bhaduri, R.K., Cohler, L.E. and Nogami, Y. (1981) A unified potential for mesons and baryons. Nuovo Cimento A, 65, 376-390.

[2] Godfrey, S. and Isgur, N. (1985) Mesons in a relativised quark model with chromodynamics. Physical Review D, 32, 189-231.

[3] Vinodkumar, P.C., Vijaya Kumar, K.B. and Khadkikar, S.B. (1992) Effect of the confined gluons in quark-quark interaction. Pramana-Journal of Physics, 39, 47-70.

[4] De Rujula, A., Georgi, H. and Glashow, S.L. (1975) Hadron masses in a gauge theory. Physical Review D, 12, 147-162.

[5] ‘t. Hooft, G. (1976) Computation of the quantum effects due to a four dimensional pseudoparticle. Physical Review D, 14, 3432-3450.

[6] Vijaya Kumar, K.B., Hanumaiah, B. and Pepin, S. (2004) Meson spectrum in a relativistic harmonic model with instanton- induced interaction. The European Physical Journal A, 19, 247-250.

[7] Blask, W.H., Bohn, U., Huber, M.G., Metsch, B.C. and Petry, H.R. (1990) Hadron spectroscopy with insatanton induced quark forces.Z. Journal of Physics A, 337, 327- 335.

[8] Brau, F., Semay, C. and Silvestre- Brac, B. (2000) Semiclassical model of light mesons. Physical Review D, 62, 1175011-1175014.

[9] Semay, C. and Silvestre- Brac, B. (1997) Potential models and meson spectra. Nuclear Physics A, 618, 455-482.

[10] Semay, C. and Silvestre-Brac, B. (1999) Determination of quark- antiquark potentials and meson spectra. Nuclear Physics A, 647, 72-96.

[11] Bhavyashri, Vijaya Kumar, K.B., Hanumaiah, B., Sarangi, S. and Zhou, S.G. (2005) Meson spectrum in a non relativistic model with instanton-induced interaction. Journal of Physics G: Nuclear and Particle Physics, 31, 981-986.

[12] Bhavyashri, Prakash, A., Ma, Y.L. and Vijaya Kumar, K.B. (2009) P wave meson spectrum in a relativistic model with instanton induced interaction. International Journal of Modern Physics A, 24, 4209-4220.

[13] Khadkikar, S.B. and Gupta, S.K. (1983) Magnetic moments of light baryons in harmonic Model. Physics Letters B, 124, 523-526.

[14] Khadkikar, S.B. and Vijaya Kumar, K.B. (1991) N-N scattering with exchange of confined gluons. Physics Letters B, 254, 320-324.

[15] Vijaya Kumar, K.B. and Khadkikar, S.B. (1998) Spin observables of the NN interaction in a relativistic harmonic model with confined gluons and mesons. Pramana Journal of Physics, 50, 149-153.

[16] Monteiro, A.P. and Vijaya Kumar, K.B. (2009) Ground state meson spectrum in a relativistic model with instanton induced interaction. Communications in theoretical Physics, 52, 1-6,

[17] Burakovsky, L. and Goldman, T. (1997) On D-wave meson spectroscopy and the K*(1410) - K*(1680) problem. Nuclear Physics A, 625, 220-230.

[18] Amsler, C. et al. (2008) Particle Data Group, Physical Letters B, 667, 1