Temperature Dependent Diquark and Baryon Masses

A. Chandra, A. Bhattacharya, B. Chakrabarti

Department of Physics, Jadavpur University, Kolkata, India.
Department of Physics, Jogamaya Devi College, Kolkata, India.

DOI: 10.4236/jmp.2013.47127                

Abstract

Temperature dependence of diquark mass has been investigated in the frame work of the quasi particle diquark model. The effective mass of the diquark has been suggested to have a temperature dependence which shows a power law behavior. The variation of the diquark mass with temperature has been studied. A decrease in effective mass at temperature T < T_c, where T_c is the critical temperature has been observed. Some features of the phase transition have been discussed. The phase transition is found to be of second order. Temperature variation of baryon masses has also been studied. The results are compared and discussed with available works.

Keywords

Diquark; Quasi Particle; Rushbrooke Inequality; Power Law

Conflicts of Interest

The authors declare no conflicts of interest.

References

[1]	V. A. Khodel and V. R. Shaginyan, Pis’ma Zh. Eksp. Theor. Fiz., Vol. 51, 1990, pp. 488-490.
[2]	E. Abrahams, P. Woelfle, Strongly Correlated Electrons, 2012.
[3]	A. Cassinese, M. A. Hein, S. Hensen and G. Müller, The European Physical Journal B, Vol. 14, 2000, pp. 605-610. doi:10.1007/s100510051068
[4]	K. Nawa, et al., Physical Review D, Vol. 74, 2006, Article ID: 034017. doi:10.1103/PhysRevD.74.034017
[5]	R. A. Schneider, T. Renk and W. Weise, “Quasiparticles in QCD Thermodynamics and Dilepton Radiation.”
[6]	S. I. Koh, Physical Review B, Vol. 51, 1995, pp. 669-673. doi:10.1103/PhysRevB.51.11669
[7]	A. Bhattacharya, A. Chandra, B. Chakrabarti and A. Sagari, The European Physical Journal Plus, Vol. 126, 2011, pp. 57-61. doi:10.1140/epjp/i2011-11057-1
[8]	A. Huang, “Theoretical Solid State Physics,” Pergamon Press, Oxford, 1975, p. 100.
[9]	W. Lucha, F. F. Schoberi and D. Gromes, Physics Reports, Vol. 200, 1991, pp. 127-240. doi:10.1016/0370-1573(91)90001-3
[10]	R. K. Bhaduri, L. E. Cohler and Y. Nogami, Physical Review Letters, Vol. 44, 1980, pp. 1369-1372. doi:10.1103/PhysRevLett.44.1369
[11]	B. Chakrabarti, et al., Nuclear Physics A, Vol. 782, 2007, pp. 392-395. doi:10.1016/j.nuclphysa.2006.10.021
[12]	A. Bhattacharya, A. sagari, B. Chakrabarti and S. Mani, Physical Review C, Vol. 81, 2010, Article ID: 015202. doi:10.1103/PhysRevC.81.015202
[13]	B. Ram and V. Kriss, Physical Review D, Vol. 35, 1987, pp. 400-402. doi:10.1103/PhysRevD.35.400
[14]	B. Chakrabarti, Modern Physics Letters A, Vol. 12, 1997, pp. 2133-2140. doi:10.1142/S0217732397002181
[15]	A. S. de Castro, H. F. de Carvalho and A. C. B. Antunes, Zeitschrift für Physik C Particles and Fields, Vol. 57, 1993, pp. 315-317. doi:10.1007/BF01565063
[16]	M. Karliner and H. J. Lipkin, Physics Letters B, Vol. 575, 2003, pp. 249-255. doi:10.1016/j.physletb.2003.09.062
[17]	L. D. Landau and E. M. Lifshitz, “Statistical Physics,” Oxford, Vol. 5, 3rd Edition, p. 216.
[18]	S. N. Banerjee, A. Bhattacharya, B. Chakrabarti and S. Banerjee, International Journal of Modern Physics A, Vol. 16, 2001, pp. 201-207. doi:10.1142/S0217751X01002956
[19]	A. Bhattacharya, A. Raichaudhuri and S. N. Banerjee, Nuovo Cimento, Vol. 105, 1992, pp. 497-501. doi:10.1007/BF02730786
[20]	W. W. Kolb, et al., “In the Early Universe,” Addison-Wesly Publishing Company, Singapore, p. 485.
[21]	J. Gasser and H. Leutwyler, Physics Letters B, Vol. 188, 1987, pp. 477-481. doi:10.1016/0370-2693(87)91652-2
[22]	C. M. Shakin and W. D. Sun, Physical Review C, Vol. 49, 1994, pp. 1185-1189. doi:10.1103/PhysRevC.49.1185
[23]	C. Song, Physical Review D, Vol. 49, 1994, pp. 1551-1555. doi:10.1103/PhysRevD.49.1556
[24]	K. Saito, T. Maruyama and K. Soutome, Physical Review C, Vol. 40, 1989, pp. 407-431. doi:10.1103/PhysRevC.40.407
[25]	T. Hatsuda and T. Kunihiro, Progress of Theoretical Physics, 1987, pp. 284-298. doi:10.1143/PTPS.91.284
[26]	V. L. Eletsky and B. L. Ioffe, Physical Review D, Vol. 51, 1995, pp. 2371-2376. doi:10.1103/PhysRevD.51.2371
[27]	I. Zakout, Nuclear Theory, 2005, 14 p.
[28]	P. T. Renter, et al., “Critical Exponents of Statistical Mal Fragmentation Model,” 2001.
[29]	H. G. Ballesteros, et al., Physics Letters B, Vol. 387, 1996, p. 125. doi:10.1016/0370-2693(96)00984-7
[30]	A. Drozd-Rzoska, et al., Physical Review E, Vol. 82, 2010, Article ID: 031501. doi:10.1103/PhysRevE.82.031501
[31]	S. Lehmann, A. D. Jackson and B. Lautrup, Physics and Society, 2005, 5 p.