Low Density Instability in Asymmetric Nuclear Matter Using Pion Dressing

S. K. Sahu

Department of Physics, Banki College, Banki, Cuttack, India.

DOI: 10.4236/jmp.2015.69140                

Abstract

We study the asymmetric nuclear matter in a nonperturbative manner. The bulk nuclear matter studied by the consistent exchange of σ, ω and π mesons is used to investigate its stability. The equation of state (EOS) at zero temperature is considered to study the symmetry energy, curvature parameter of symmetry energy and asymmetry energy. The effect of the density dependence of the symmetry energy on instability property is investigated and analyzed using proton fraction in the nuclear matter. Here a microscopic density-dependent model of the nucleon-meson coupling is used to reexamine the instability of asymmetric nuclear matter.

Keywords

Symmetry Energy, Equation of State, Nucleon-Pion Interaction

Conflicts of Interest

The authors declare no conflicts of interest.

References

[1]	Margueron, J. and Chomaz, P. (2003) Physical Review C, 67, Article ID: 041602. http://dx.doi.org/10.1103/PhysRevC.67.041602
[2]	Chomaz, P., Colonna, M. and Randrup, J. (2004) Physics Reports, 389, 263. http://dx.doi.org/10.1016/j.physrep.2003.09.006
[3]	Avancini, S.S., Brito, L., Menezes, D.P. and Providência, C. (2004) Physical Review C, 70, Article ID: 015203. http://dx.doi.org/10.1103/PhysRevC.70.015203
[4]	Avancini, S.S., Brito, L., Chomaz, Ph., Menezes, D.P. and Providência, C. (2006) Physical Review C, 74, Article ID: 024317.
[5]	Margueron, J., van Dalen, E. and Fuchs, C. (2007) Physical Review C, 76, Article ID: 034309.
[6]	Vidana, I. and Polls, A. (2008) Physics Letters B, 666, 232. http://dx.doi.org/10.1016/j.physletb.2008.07.066
[7]	Pais, H., Santos, A. and Providência, C. (2009) Physical Review C, 80, Article ID: 045808. http://dx.doi.org/10.1103/PhysRevC.80.045808
[8]	Xu, H.S., et al. (2000) Physical Review Letters, 85, 716. http://dx.doi.org/10.1103/PhysRevLett.85.716
[9]	Botvina, A.S., Mishustin, L.N. and Begenann-Blaich, M. (1995) Nuclear Physics A, 584, 737. http://dx.doi.org/10.1016/0375-9474(94)00621-S
[10]	Li, B.A., De Angelis, A.R. and Gross, D.H.E. (1993) Physics Letters B, 303, 225. http://dx.doi.org/10.1016/0370-2693(93)91424-L
[11]	Agostino, M.D., Botvina, A.S., Milazzo, P.M., Bruno, M., Kunde, G.J., Bowman, D.R., et al. (1996) Physics Letters B, 371, 175-180. http://dx.doi.org/10.1016/0370-2693(96)00008-1
[12]	Walecka, J.D. (1974) Annals of Physics, 83, 491-529. http://dx.doi.org/10.1016/0003-4916(74)90208-5
[13]	Gmuca, S. (1991) Journal of Physics G, 17, 1115-1126. http://dx.doi.org/10.1088/0954-3899/17/7/010
[14]	Serot, B.D. and Walecka, J.D. (1986) Advances in Nuclear Physics, 16.
[15]	Gambhir, Y.K. and Ring, P. (1988) Physics Letters B, 202, 5-9. http://dx.doi.org/10.1016/0370-2693(88)90843-X
[16]	Friar, J.L. and Coon, S.A. (1994) Physical Review C, 49, 1272-1280. http://dx.doi.org/10.1103/PhysRevC.49.1272
[17]	Matsui, T. and Serot, B.D. (1982) Annals of Physics, 144, 107-167. http://dx.doi.org/10.1016/0003-4916(82)90106-3
[18]	Mishra, H., Misra, S.P., Panda, P.K. and Parida, B.K. (1992) International Journal of Modern Physics E, 1, 405-419. http://dx.doi.org/10.1142/S0218301392000229
[19]	Santos, A.M., Providencia, C. and Panda, P.K. (2009) Physical Review C, 79, Article ID: 045805. http://dx.doi.org/10.1103/PhysRevC.79.045805
[20]	Sarangi, S., Panda, P.K., Sahu, S.K. and Maharana, L. (2008) International Journal of Modern Physics B, 22, 4524-4537. http://dx.doi.org/10.1142/S0217979208050279
[21]	Sarangi, S., Panda, P.K., Sahu, S.K. and Maharana, L. (2010) Indian Journal of Physics, 84, 431-447. http://dx.doi.org/10.1007/s12648-010-0028-9
[22]	Mishra, A., Mishra, H. and Mishra, S.P. (1990) International Journal of Modern Physics A, 5, 3391-3399. http://dx.doi.org/10.1142/S0217751X90001483
[23]	Baran, V., Colonna, M., Di Toro, M. and Larionov, A.B. (1998) Nuclear Physics A, 632, 287-303. http://dx.doi.org/10.1016/S0375-9474(98)00006-2
[24]	Margueron, J. and Chomaz, P. (2003) Physical Review C, 67, Article ID: 041602. Comaz, P., Colonna, M. and Randrup, J. (2004) Physics Reports, 389, 262.
[25]	Mueller, H. and Serot, B.D. (1995) Physical Review C, 52, 2072-2091. http://dx.doi.org/10.1103/PhysRevC.52.2072
[26]	van Dalen, E.N.E. and Muether, H. (2013) Physical Review C, 87, Article ID: 024317. http://dx.doi.org/10.1103/PhysRevC.87.024317
[27]	Steiner, A.W., Prakash, M., Lattimer, J.M. and Ellis, P.J. (2005) Physics Reports, 441, 325-375. http://dx.doi.org/10.1016/j.physrep.2005.02.004
[28]	Fuchs, C., Holter, H.H. (2006) European Physical Journal A, 30. Lalazissis, G.A., Koeningf, J. and Ring, P. (1997) Physical Review C, 55, 540-543.
[29]	Guichon, P.A.M. (1988) Physics Letters B, 200, 235-240. http://dx.doi.org/10.1016/0370-2693(88)90762-9 Saito, K. and Thomas, A.W. (1994) Physics Letters B, 327, 9. http://dx.doi.org/10.1016/0370-2693(94)91520-2 Saito, K. and Thomas, A.W. (1994) Physics Letters B, 335, 17. http://dx.doi.org/10.1016/0370-2693(94)91551-2 Saito, K. and Thomas, A.W. (1995) Physics Letters B, 363, 157. http://dx.doi.org/10.1016/0370-2693(95)01204-4 Guichon, P.A.M., Saito, K., Rodionov, E. and Thomas, A.W. (1996) Nuclear Physics A, 601, 349-379. http://dx.doi.org/10.1016/0375-9474(96)00033-4 Saito, K., Tsushima, K. and Thomas, A.W. (1996) Ibid, A609, 339. Saito, K., Tsushima, K. and Thomas, A.W. (1997) Physical Review C, 55, 2637. http://dx.doi.org/10.1103/PhysRevC.55.2637 Saito, K., Tsushima, K. and Thomas, A.W. (1997) Physics Letters B, 406, 287. http://dx.doi.org/10.1016/S0370-2693(97)00693-X Panda, P.K., Mishra, A., Eisenberg, J.M. and Greiner, W. (1997) Physical Review C, 56, 3134-3139. http://dx.doi.org/10.1103/PhysRevC.56.3134 Panda, P.K., Menezes, D.P. and Providencia, C. (2004) Physical Review C, 69, Article ID: 025207.
[30]	Typel, S. and Holter, H.H. (1999) Nuclear Physics A, 656, 331-364. http://dx.doi.org/10.1016/S0375-9474(99)00310-3