Equation of state of asymmetric nuclear matter: a VMC study

• Authors: Kaan Manisa , Ülfet Atav , Sibel Sarıaydın
• Languages of publication: EN

Abstracts

EN

A Variational Monte Carlo (VMC) method is employed to investigate the properties of symmetric and asymmetric nuclear matter. The realistic Urbana V
14 twonucleon interaction potential of Lagaris and Pandharipande was used to describe the microscopic interactions. Also, many body interactions are included as a density dependent term in the potential. Total kinetic and potential energies per particle are calculated for asymmetric nuclear matter by VMC method at various densities and isospin asymmetry parameters. The results are compared with data found in literature, and it was observed that the results obtained in this study reasonably agree with the results found in the literature. Also, the symmetry energy and incompressibility factor of the nuclear matter were obtained. The results obtained are in good agreement with those obtained by various authors with different methods and techniques.

Keywords

EN

nuclear matter; equation of state; asymmetric matter; neutron matter

Discipline

• 21.65.Mn: Equations of state of nuclear matter(see also 26.60.Kp Equations of state of neutron-star matter)
• 21.65.Cd: Asymmetric matter, neutron matter
• 21.65.Ef: Symmetry energy
• 26.60.Kp: Equations of state of neutron-star matter

• Publisher: De Gruyter Open
• Journal: Open Physics
• Year: 2010
• Volume: 8
• Issue: 4
• Pages: 587-595

Dates

published

1 - 8 - 2010

online

22 - 5 - 2010

Contributors

author

Kaan Manisa

• Physics Department, Dumlupinar University, Kütahya, Turkey

author

Ülfet Atav

• Department of Physics, Selçuk University, 42079, Konya, Turkey

author

Sibel Sarıaydın

• Physics Department, Dumlupinar University, Kütahya, Turkey

References

• [1] K. Manisa, U. Atav, R. Oğul, Int. J. Mod. Phys. E14, 255 (2005)
• [2] K. A. Brueckner, S. A. Coon, J. Dabrowski, Phys. Rev. 168, 1148 (1968) http://dx.doi.org/10.1103/PhysRev.168.1184[Crossref]
• [3] J. D. Walecka, Ann. Phys.-New York 83, 491 (1974) http://dx.doi.org/10.1016/0003-4916(74)90208-5[Crossref]
• [4] J. C. Owen, R. F. Bishop, J. M. Irvine, Nucl. Phys. A 177, 45 (1976)
• [5] J. C. Owen, R. F. Bishop, J. M. Irvine, Ann. Phys.-New York 102, 170 (1976) http://dx.doi.org/10.1016/0003-4916(76)90260-8[Crossref]
• [6] R. A. Freedman, Phys. Lett. 71B, 369 (1977)
• [7] J. M. Lattimer, D. G. Revenhall, Astrophys. J. 223, 314 (1978) http://dx.doi.org/10.1086/156265[Crossref]
• [8] B. D. Day, Rev. Mod. Phys. 50, 495 (1978) http://dx.doi.org/10.1103/RevModPhys.50.495[Crossref]
• [9] V. R. Pandharipande, R. B. Wiringa, Rev. Mod. Phys. 51, 821 (1979) http://dx.doi.org/10.1103/RevModPhys.51.821[Crossref]
• [10] I. E. Lagaris, V. R. Pandharipande, Nucl. Phys. A 359, 331 (1981) http://dx.doi.org/10.1016/0375-9474(81)90240-2[Crossref]
• [11] I. E. Lagaris, V. R. Pandharipande, Nucl. Phys. A 359, 349 (1981) http://dx.doi.org/10.1016/0375-9474(81)90241-4[Crossref]
• [12] B. Friedman, V. R. Pandharipande, Nucl. Phys. A 361, 502 (1981) http://dx.doi.org/10.1016/0375-9474(81)90649-7[Crossref]
• [13] I. E. Lagaris, V. R. Pandharipande, Nucl. Phys. A 369, 470 (1981) http://dx.doi.org/10.1016/0375-9474(81)90032-4[Crossref]
• [14] M. Prakash, T. L. Ainsworth, Phys. Rev. C 36, 346 (1987) http://dx.doi.org/10.1103/PhysRevC.36.346[Crossref]
• [15] H. Shen, H. Toki, K. Oyamatsu, K. Sumiyoshi, Nucl. Phys. A 637, 435 (1998) http://dx.doi.org/10.1016/S0375-9474(98)00236-X[Crossref]
• [16] H. R. Moshfegh, M. Modarres, Nucl. Phys. A 759, 79 (2005) http://dx.doi.org/10.1016/j.nuclphysa.2005.04.021[Crossref]
• [17] B. D. Serot, J. D. Walecka, Adv. Nucl. Phys. 16, 1 (1986)
• [18] M. Prakash, L. Ainsworth, Phys. Rev. C 36, 1052 (1987) http://dx.doi.org/10.1103/PhysRevC.36.346[Crossref]
• [19] J. M. Lattimer et al., Nucl. Phys. A 432, 646 (1985) http://dx.doi.org/10.1016/0375-9474(85)90006-5[Crossref]
• [20] F. Weber, M. K. Wigel, Nucl. Phys. A 493, 549 (1989) http://dx.doi.org/10.1016/0375-9474(89)90102-4[Crossref]
• [21] C. J. Pethick, D. G. Ravenhall, C. P. Lorentz, Nucl. Phys. A 584, 675 (1995) http://dx.doi.org/10.1016/0375-9474(94)00506-I[Crossref]
• [22] H. A. Bethe, Rev. Mod. Phys. 62, 801 (1990) http://dx.doi.org/10.1103/RevModPhys.62.801[Crossref]
• [23] I. Tanihata, Prog. Part. Nucl. Phys. 35, 505 (1995) http://dx.doi.org/10.1016/0146-6410(95)00046-L[Crossref]
• [24] P. G. Hansen, A. S. Jensen, B. Jonson, Annu. Rev. Nucl. Part. S. 45, 591 (1995) http://dx.doi.org/10.1146/annurev.ns.45.120195.003111[Crossref]
• [25] A. E. L. Dieperink et al., Phys. Rev. C 68, 0643307 (2003) http://dx.doi.org/10.1103/PhysRevC.68.064307[Crossref]
• [26] B.-A. Li, C. M. Ko, Z. Ren, Phys. Rev. Lett. 78, 1644 (1997) http://dx.doi.org/10.1103/PhysRevLett.78.1644[Crossref]
• [27] W. L. McMillan, Phys. Rev. A 442, 138 (1965)
• [28] D. Ceperley, G. V. Chester, M. H. Kalos, Phys. Rev. B 16, 3081 (1977) http://dx.doi.org/10.1103/PhysRevB.16.3081[Crossref]
• [29] M. A. Lee, K. E. Schmidt, M. H. Kalos, G. V. Chester, Phys. Rev. Lett. 46, 728 (1981) http://dx.doi.org/10.1103/PhysRevLett.46.728[Crossref]
• [30] J. Lomnitz-Adler, V. R. Pandharipande, R. A. Smith, Nucl. Phys. A 361, 399 (1981) http://dx.doi.org/10.1016/0375-9474(81)90642-4[Crossref]
• [31] J. Carlson, Phys. Rev. C 38, 1879 (1988) http://dx.doi.org/10.1103/PhysRevC.38.1879[Crossref]
• [32] K. Oyamatsu, K. Lida, Nucl. Phys. A 718, 363 (2003) http://dx.doi.org/10.1016/S0375-9474(03)00740-1[Crossref]
• [33] D. N. Basu, P. Roy Chowdhury, C. Samanta, Acta Phys. Pol. B 37, 2869 (2006)
• [34] A. Akmal, V.R. Pandharipande, Phys. Rev. C 56, 2261 (1997) http://dx.doi.org/10.1103/PhysRevC.56.2261[Crossref]
• [35] R. Jastrow, Phys. Rev. 98, 1479 (1955) http://dx.doi.org/10.1103/PhysRev.98.1479[Crossref]
• [36] K. Oyamatsu, I. Tanihata, Y. Sugahara, K. Sumiyoshi, H. Toki, Nucl. Phys. A 634, 3 (1998) http://dx.doi.org/10.1016/S0375-9474(98)00125-0[Crossref]
• [37] I. Tanihata et al., Phys. Lett. B 160, 380 (1985) http://dx.doi.org/10.1016/0370-2693(85)90005-X[Crossref]
• [38] I. Tanihata et al., Phys. Rev. Lett. 55, 2676 (1985) http://dx.doi.org/10.1103/PhysRevLett.55.2676[Crossref]
• [39] J. Carlson, J. Morales Jr., V. R. Pandharipande, D. G. Ravenhall, Phys. Rev. C 68, 025802 (2003) http://dx.doi.org/10.1103/PhysRevC.68.025802[Crossref]
• [40] P. Finelli, N. Kaiser, D. Vretenar, W. Weise, Nucl. Phys. A 735, 449 (2004) http://dx.doi.org/10.1016/j.nuclphysa.2004.02.001[Crossref]
• [41] D. V. Shetty, S. J. Yennello, G. A. Souliotis, Phys. Rev. C 76, 024606 (2007) http://dx.doi.org/10.1103/PhysRevC.76.024606[Crossref]
• [42] T. Li et al., Phys. Rev. Lett. 99, 162503 (2007) http://dx.doi.org/10.1103/PhysRevLett.99.162503[Crossref]
• [43] H. Muller, B. D. Serot, Phys. Rev. C 52, 2072 (1995) http://dx.doi.org/10.1103/PhysRevC.52.2072[Crossref]
• [44] S. Zaryouni, H. R. Moshfegh, Nucl. Phys. A 734, 108 (2004) http://dx.doi.org/10.1016/j.nuclphysa.2004.03.032[Crossref]

Identifiers

DOI

10.2478/s11534-009-0129-2