Momentum and Density Dependence of Isovector Part of Nuclear Mean Field

Abstract

Momentum and density dependence of the isovector part of nuclear mean field uτ(k, ρ) is studied by using effective interactions having general form. It is found that only the difference between finite range parts of the exchange interactions between like and unlike nucleons accounts for the momentum dependence of uτ(k, ρ). Depending on the choice of the parameters of these exchange interactions, two conflicting trends of momentum dependence of uτ(k, ρ) are noted which lead to two opposite types of splitting of neutron and proton effective masses. The behavior of uτ(k, ρ) at the Fermi momentum k=k F is related to the density dependence of nuclear symmetry energy Jτ(ρ) and effective nucleon mass M*(k=k F , ρ)/M in symmetric nuclear matter. The need for possible theoretical and experimental efforts to constrain the high density behavior of Jτ(ρ) as well as to resolve the puzzle regarding the two opposite types of splitting of neutron and proton effective masses are also stressed.

Study of spin polarized nuclear matter and finite nuclei with finite range simple effective interaction

“…The momentum dependence of the mean field is a fundamental property [49,50] and it should not be left open to assume an arbitrary behaviour. This momentum Ferromagnetic completely polarized SNM CASNM Antiferromagnetic completely polarized SNM dependence of the mean field, as extracted from the analysis of nucleon-nucleus scattering data [50,51,52,55] is explicitly taken into account in the fitting procedure of the parameters of the finite range simple effective interaction (SEI) which has been used in NM studies [47,56,57,58,59]. In a recent work [37], the SEI has been extended for studying ground-state finite nuclei properties.…”

Simple effective interaction: infinite nuclear matter and finite nuclei

“…In this way the different mean fields obtained with the aforementioned form factors have a similar behaviour over a wide range of momentum and density. This simple effective interaction (SEI) has been used in several studies of NM, such as, momentum dependence of the mean field and the equation of state (EOS) in ANM [56,57], neutron star matter at zero and finite temperature [58,59] and the thermal evolution of NM properties [60].…”

Neutron–proton effective mass splitting and thermal evolution in neutron-rich matter

“…In view of this, a correct knowledge of the momentum dependence of the neutron and proton mean fields in neutron rich ANM is very crucial while deciding the temperature dependence of various nuclear matter properties. But our limited understanding on this important aspect is revealed from our poor knowledge on the momentum and density dependence of isovector part of nuclear mean field in ANM [10][11][12][13][14][15][16][17][18][19][20][21][22][23][24][25][26][27][28].…”