272
A. Quddus and S. K. Patra
at the corresponding N numbers. These neutron numbers are usual close-shell/magic
numbers. One can conclude that for a magic neutron number, large amount of energy
required to convert one neutron to proton or vice-versa and hence more stability of
neutron magic number. Apart from that some small peaks are also observed which
support some of the weak magic numbers. Since the matter at extreme temperature
and density is impossible to create in a laboratory, a study of neutron-rich nuclei
is treated as a tool to understand it. Therefore to guide an experiment, an accurate
theoretical estimation of their characteristics is essential. The calculated quantities
are important for the structural properties of finite nuclei, to constrain an EoS of the
nuclear matter and consequently nucleosynthesis processes, and may be useful for
the synthesis of neutron-rich/deficient exotic-nuclei.
Acknowledgements We are thankful to Mitko Gaidarov and Shakeb Ahmad for the fruitful discussions. AQ would like to acknowledge the Department of Science and Technology (DST), Gov.
of India for providing financial support in the form of INSPIRE fellowship with No. DST/INSPIRE
fellowship/2016/IF160131.
References
1. T. Niksic, D. Vretenar, P. Ring, Relativistic nuclear energy density functionals: adjusting parameters to binding energies. Phys. Rev. C 78, 034318 (2008)
2. N. Van Giai, B.V. Carlson, Z. Ma, H. Wolter, The Dirac-Brueckner-Hartree-Fock approach:
from infinite matter to effective Lagrangians for finite systems. J. Phys. G 37, 064043 (2010)
3. E.N.E. van Dalen, H. Müther, Relativistic effects in nuclear matter and nuclei. Int. J. Mod.
Phys. E 19, 2077–2122 (2010)
4. B.-A. Li, L.-W. Chen, C.M. Ko, Recent progress and new challenges in isospin physics with
heavy-ion reactions. Phys. Rep. 464, 113–281 (2008)
5. M. Colonna, Nuclear matter and nuclear dynamics. J. Phys. Conf. Ser. 168, 012006 (2009)
6. V. Rodin, Neutron skin and giant resonances in nuclei. Prog. Part. Nucl. Phys. 59, 268–276
(2007)
7. A.W. Steiner, M. Prakash, J.M. Lattimer, P.J. Ellis, Isospin asymmetry in nuclei and neutron
stars. Phys. Rep. 411, 325–375 (2005)
8. F.J. Fattoyev, W.G. Newton, J. Xu, B.-A. Li, Generic constraints on the relativistic mean-field
and Skyrme-Hartree-Fock models from the pure neutron matter equation of state. Phys. Rev.
C 86, 025804 (2012)
9. M. Dutra, O. Lourenço, J.S.S. Martins, A. Delfino, J.R. Stone, P.D. Stevenson, Skyrme interaction and nuclear matter constraints. Phys. Rev. C 85, 035201 (2012)
10. M. Dutra, O. Lourenço, S.S. Avancini, B.V. Carlson, A. Delfino, D.P. Menezes, C. Providència,
S. Typel, J.R. Stone, Relativistic mean-field hadronic models under nuclear matter constraints.
Phys. Rev. C 90, 055203 (2014)
11. M.K. Gaidarov, A.N. Antonov, P. Sarriguren, E. Moya de Guerra, Surface properties of neutronrich exotic nuclei: a source for studying the nuclear symmetry energy. Phys. Rev. C 84, 034316
(2011)
12. W.D. Myers, J. Swiatecki, Droplet-model theory of the neutron skin. Nucl. Phys. A 336, 267–
278 (1980)
13. M. Bhuyan, B.V. Carlson, S.K. Patra, S.-G. Zhou, Surface properties of neutron-rich exotic
nuclei within relativistic mean field formalisms. Phys. Rev. C 97, 024322 (2018)
14. J.M. Lattimer, Symmetry energy in nuclei and neutron stars. Nucl. Phys. A 928, 276–295
(2014)
A. Quddus and S. K. Patra
at the corresponding N numbers. These neutron numbers are usual close-shell/magic
numbers. One can conclude that for a magic neutron number, large amount of energy
required to convert one neutron to proton or vice-versa and hence more stability of
neutron magic number. Apart from that some small peaks are also observed which
support some of the weak magic numbers. Since the matter at extreme temperature
and density is impossible to create in a laboratory, a study of neutron-rich nuclei
is treated as a tool to understand it. Therefore to guide an experiment, an accurate
theoretical estimation of their characteristics is essential. The calculated quantities
are important for the structural properties of finite nuclei, to constrain an EoS of the
nuclear matter and consequently nucleosynthesis processes, and may be useful for
the synthesis of neutron-rich/deficient exotic-nuclei.
Acknowledgements We are thankful to Mitko Gaidarov and Shakeb Ahmad for the fruitful discussions. AQ would like to acknowledge the Department of Science and Technology (DST), Gov.
of India for providing financial support in the form of INSPIRE fellowship with No. DST/INSPIRE
fellowship/2016/IF160131.
References
1. T. Niksic, D. Vretenar, P. Ring, Relativistic nuclear energy density functionals: adjusting parameters to binding energies. Phys. Rev. C 78, 034318 (2008)
2. N. Van Giai, B.V. Carlson, Z. Ma, H. Wolter, The Dirac-Brueckner-Hartree-Fock approach:
from infinite matter to effective Lagrangians for finite systems. J. Phys. G 37, 064043 (2010)
3. E.N.E. van Dalen, H. Müther, Relativistic effects in nuclear matter and nuclei. Int. J. Mod.
Phys. E 19, 2077–2122 (2010)
4. B.-A. Li, L.-W. Chen, C.M. Ko, Recent progress and new challenges in isospin physics with
heavy-ion reactions. Phys. Rep. 464, 113–281 (2008)
5. M. Colonna, Nuclear matter and nuclear dynamics. J. Phys. Conf. Ser. 168, 012006 (2009)
6. V. Rodin, Neutron skin and giant resonances in nuclei. Prog. Part. Nucl. Phys. 59, 268–276
(2007)
7. A.W. Steiner, M. Prakash, J.M. Lattimer, P.J. Ellis, Isospin asymmetry in nuclei and neutron
stars. Phys. Rep. 411, 325–375 (2005)
8. F.J. Fattoyev, W.G. Newton, J. Xu, B.-A. Li, Generic constraints on the relativistic mean-field
and Skyrme-Hartree-Fock models from the pure neutron matter equation of state. Phys. Rev.
C 86, 025804 (2012)
9. M. Dutra, O. Lourenço, J.S.S. Martins, A. Delfino, J.R. Stone, P.D. Stevenson, Skyrme interaction and nuclear matter constraints. Phys. Rev. C 85, 035201 (2012)
10. M. Dutra, O. Lourenço, S.S. Avancini, B.V. Carlson, A. Delfino, D.P. Menezes, C. Providència,
S. Typel, J.R. Stone, Relativistic mean-field hadronic models under nuclear matter constraints.
Phys. Rev. C 90, 055203 (2014)
11. M.K. Gaidarov, A.N. Antonov, P. Sarriguren, E. Moya de Guerra, Surface properties of neutronrich exotic nuclei: a source for studying the nuclear symmetry energy. Phys. Rev. C 84, 034316
(2011)
12. W.D. Myers, J. Swiatecki, Droplet-model theory of the neutron skin. Nucl. Phys. A 336, 267–
278 (1980)
13. M. Bhuyan, B.V. Carlson, S.K. Patra, S.-G. Zhou, Surface properties of neutron-rich exotic
nuclei within relativistic mean field formalisms. Phys. Rev. C 97, 024322 (2018)
14. J.M. Lattimer, Symmetry energy in nuclei and neutron stars. Nucl. Phys. A 928, 276–295
(2014)