Effects of the Dirac sea on pion propagation in asymmetric nuclear matter

Biswas, Subhrajyoti; Dutt-Mazumder, Abhee K.

doi:10.1103/physrevc.77.045201

Cited by 7 publications

(9 citation statements)

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“…Many authors have studied pion properties either restricted to the symmetric nuclear matter or performed calculations in the non-relativistic framework [24][25][26][27][28][29]. In a recent work, the authors of [30,31] have shown pionic mode splitting in asymmetric nuclear matter (ANM). Using the approximation of the hard nucleon loop and suitable density expansions, they have studied pion propagation in matter in the framework of Chiral effective Lagrangian model [32].…”

Section: Introductionmentioning

confidence: 99%

“…Using the approximation of the hard nucleon loop and suitable density expansions, they have studied pion propagation in matter in the framework of Chiral effective Lagrangian model [32]. In [31] they presented the density and asymmetry dependent pion dispersion relations and effective masses for the various charged states of pion considering both pseudoscalar and pseudovector representation of pion-nucleon interactions. It was shown that the effective pion masses had large values in the pseudoscalar representation compared to pseudovector representation.…”

Section: Introductionmentioning

confidence: 99%

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Pionic dispersion relations in the presence of a weak magnetic field

Adhya

Mandal

Biswas³

et al. 2016

Phys. Rev. D

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In this work, dispersion relations of π 0 and π ± have been studied in vacuum in the limit of weak external magnetic field using a phenomenological pion-nucleon (πN ) Lagrangian. For our purpose, we have calculated the results up to one loop order in self energy diagrams with the pseudoscalar (P S) and pseudovector (P V ) pion-nucleon interactions. By assuming weak external magnetic field it is seen that the effective mass of pion gets explicit magnetic field dependence and it is modified significantly for the case of PS coupling. However, for the PV coupling, only a modest increase in the effective mass is observed. These modified dispersion relations due to the presence of the external field can have substantial influence in the phenomenological aspect of the mesons both in the context of neutron stars as well as relativistic heavy ion collisions. * souvikpriyam.adhya@saha.ac.in †

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Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Pionic dispersion relations in the presence of a weak magnetic field

Adhya

Mandal

Biswas³

et al. 2016

Phys. Rev. D

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“…To get the energy variation, the real and imaginary potentials have to be evaluated at a particular radius known as radius of sensitivity of optical model potential. Unlike the strongly bound system where this evaluation is done at strong absorption radius that has very weak energy dependence, the radius of sensitivity found by the technique of crossing radius for loosely bound nuclei depends strongly on energy [5]. Considering this energy variation of crossing radius, a Gauss-weighted radial moment of real and imaginary potentials around the average radius of sensitivity has been plotted as a function of energy for 6 Li+ 58 ¢ 64 Ni.…”

Section: Resultsmentioning

confidence: 99%

Threshold behaviour of effective potential for 6,7Li+58,64Ni around the Coulomb barrier

Biswas¹

2009

Proceedings of 10th Symposium on Nuclei in the Cosmos — PoS(NIC X)

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In order to probe the effect of the breakup or transfer induced breakup coupling on the energy dependence of the optical potential in the presence of conventional quasielastic couplings, the elastic scattering angular distributions for of the potential components with decreasing energy were extracted. A further analysis of the measured angular distributions, along with the existing data for 6¤ 7 Li+ 58 Ni, was performed with two different model potentials -one with the folded potential normalized with a complex factor (OMP1) and the other with a hybrid potential composed of a renormalized folded real and a phenomenological imaginary (OMP2) potential components. All the model potentials predict similar energy dependent behaviour for the interaction potential around the barrier indicating a model independence of the observed behaviour. The observed energy dependences of the strengths of the real and imaginary potentials also corroborate with the dispersion relation prediction for both the 6 Li+ 64 Ni and 6 Li+ 58 Ni systems. Though the evidence of breakup is distinct in the energy variation of the potential strengths for 6 Li+ 58¤ 64 Ni systems, close to the barrier the variation is more in the line of conventional threshold anomaly. Also the threshold behaviour of the interaction potential does not indicate any distinct isotopic dependence for 6 Li+ 58¤ 64 Ni. On the other hand, though 7 Li+ 64 Ni shows normal threshold behaviour, for 7 Li+ 58 Ni, the potential does not exhibit any significant energy dependence. Unlike 6 Li, in case of 7 Li a distinct isotopic dependence has been observed for 58 Ni and 64 Ni. 10th Symposium on Nuclei in the Cosmos

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“…Recently in Ref. [9], it was found that the masses split for the various charged states of the pion in ANM. Such mode splitting is, in fact, a generic feature of all the isovector mesons.…”

Section: Introductionmentioning

confidence: 99%

Study of various charged ρ-meson masses in asymmetric nuclear matter

Yao

Shi-Shu

2009

Chinese Phys. C

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We study the effective masses of ρ-mesons for different charged states in asymmetric nuclear matter (ANM) using the Quantum Hadrodynamics II model. The closed form analytical results are presented for the effective masses of ρ-mesons. We have shown that the different charged ρ-mesons have mass splitting similar to various charged pions. The effect of the Dirac sea is also examined, and it is found that this effect is very important and leads to a reduction of the different charged ρ-meson masses in ANM.

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Effects of the Dirac sea on pion propagation in asymmetric nuclear matter

Cited by 7 publications

References 50 publications

Pionic dispersion relations in the presence of a weak magnetic field

Pionic dispersion relations in the presence of a weak magnetic field

Threshold behaviour of effective potential for 6,7Li+58,64Ni around the Coulomb barrier

Study of various charged ρ-meson masses in asymmetric nuclear matter

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