Chapter 17
Momentum and Density Dependence
of the Nuclear Mean Field Using Finite
Range Simple Effective Interaction:
A Tool for Heavy-Ion Collision Dynamics
T. R. Routray, X. Viñas, and B. Behera
Abstract The finite range Simple Effective Interaction (SEI) has been constructed
with minimum number of parameters that can simulate the correct trend of momentum dependence of nuclear mean field, as ascertained from the heavy-ion collision
experiments at intermediate energy range. Nine parameter combinations of the total
eleven interaction parameters required for the complete study of symmetric and
isospin asymmetric nuclear matter have been carefully determined, which gives
momentum dependence of the nucleonic mean field and equation of state similar
in trend to the predictions of microscopic calculations. In the determination of the
parameters, one needs to assume the standard values of only three nuclear matter
saturation properties, namely, the density, energy per particle, and symmetry energy
at saturation in normal nuclear matter. The present formulation has the advantage of
varying the density dependence of nuclear symmetry energy where the momentum
dependence of the nuclear mean field remains unchanged, and the vice-versa. This
can provide quality inputs to the transport model equations solved in the analysis of
data of heavy-ion collision experiments in the intermediate energy range. The SEI
has also the ability of predicting the finite nucleus properties similar in quality as
that of any of the existing effective interaction in the field.
T. R. Routray (B) · B. Behera
School of Physics, Sambalpur University, Jyoti-Vihar, Burla 768019, Odisha, India
e-mail: trr1@rediffmail.com
X. Viñas
Department de Física Quàntica i Astrofísica and Institut de Ciències del Cosmos (ICCUB),
Facultat de Física, Universitat de Barcelona, Martí i Franquès 1, 08028 Barcelona, Spain
© Springer Nature Singapore Pte Ltd. 2021
R. K. Puri et al. (eds.), Advances in Nuclear Physics, Springer Proceedings
in Physics 257, https://doi.org/10.1007/978-981-15-9062-7_17
233
Momentum and Density Dependence
of the Nuclear Mean Field Using Finite
Range Simple Effective Interaction:
A Tool for Heavy-Ion Collision Dynamics
T. R. Routray, X. Viñas, and B. Behera
Abstract The finite range Simple Effective Interaction (SEI) has been constructed
with minimum number of parameters that can simulate the correct trend of momentum dependence of nuclear mean field, as ascertained from the heavy-ion collision
experiments at intermediate energy range. Nine parameter combinations of the total
eleven interaction parameters required for the complete study of symmetric and
isospin asymmetric nuclear matter have been carefully determined, which gives
momentum dependence of the nucleonic mean field and equation of state similar
in trend to the predictions of microscopic calculations. In the determination of the
parameters, one needs to assume the standard values of only three nuclear matter
saturation properties, namely, the density, energy per particle, and symmetry energy
at saturation in normal nuclear matter. The present formulation has the advantage of
varying the density dependence of nuclear symmetry energy where the momentum
dependence of the nuclear mean field remains unchanged, and the vice-versa. This
can provide quality inputs to the transport model equations solved in the analysis of
data of heavy-ion collision experiments in the intermediate energy range. The SEI
has also the ability of predicting the finite nucleus properties similar in quality as
that of any of the existing effective interaction in the field.
T. R. Routray (B) · B. Behera
School of Physics, Sambalpur University, Jyoti-Vihar, Burla 768019, Odisha, India
e-mail: trr1@rediffmail.com
X. Viñas
Department de Física Quàntica i Astrofísica and Institut de Ciències del Cosmos (ICCUB),
Facultat de Física, Universitat de Barcelona, Martí i Franquès 1, 08028 Barcelona, Spain
© Springer Nature Singapore Pte Ltd. 2021
R. K. Puri et al. (eds.), Advances in Nuclear Physics, Springer Proceedings
in Physics 257, https://doi.org/10.1007/978-981-15-9062-7_17
233