arXiv subjects

P. K. Rath

Publications and source records attributed to P. K. Rath.

28 records · Page 2Linked to original sources

arXiv2009

Multipolar correlations and deformation effect on nuclear transition matrix elements of double-$β$ decay

The two neutrino and neutrinoless double beta decay of $^{94,96}$Zr, $^{98,100}$Mo, $^{104}$Ru, $^{110}$Pd, $^{128,130}$Te and $^{150}$Nd isotopes for the $0^{+}\to 0^{+}$ transition is studied within the PHFB framework along with an effective two-body interaction consisting of pairing, quadrupole-quadrupole and hexadecapole-hexadecapole correlations. It is found that the effect of hexadecapolar correlations can be assimilated substantially as a renormalization of the quadrupole-quadrupole interaction. The effect of deformation on nuclear transition matrix elements is investigated by varying the strength of quadrupolar correlations in the parent and daughter nuclei independently. The variation of the nuclear transition matrix elements as a function of the difference in deformation parameters of parent and daughter nuclei reveals that in general, the former tend to be maximum for equal deformation and they decrease as the difference in deformation parameters increases, exhibiting a very similar trend for the $(β^{-}β^{-})_{2ν}$ and $(β^{-}β^{-})_{0ν}$ transition matrix elements.

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arXiv2008

Influence of the hexadecapole deformation on the two neutrino double-$\be ta $ decay

The two neutrino double beta $(β^{-}β^{-})_{2ν}$ decay of $ ^{94,96}$Zr, $^{98,100}$Mo, $^{104}$Ru, $^{110}$Pd, $^{128,130}$Te and $^{150}$Nd nuclei for the $0^{+}\to 0^{+}$ transition is studied in the PHFB model in conjunction with the pairing plus quadrupole-quadrupole plus hexadecapole-hexadecapole effective two-body interaction and the effect of the latter is investigated on the calculation of nuclear transition matrix elements $M_{2ν}$. The reliability of the intrinsic wave functions of parent and daughter nuclei involved in the $(β^{-}β^{-})_{2ν}$ decay of above mentioned nuclei is established by obtaining an overall agreement between a number of theoretically calculated spectroscopic properties, namely the yrast spectra, reduced $B(E2$:$0^{+}\to 2^{+})$ transition probabilities, static quadrupole moments $Q(2^{+})$ and $g$-factors $g(2^{+})$ and the available experimental data. The effect of deformation on $M_{2ν}$ is also investigated to inveterate its inverse relation with nuclear deformation.

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arXiv2007

Nuclear deformation and the two neutrino double-βdecay in ^{124,126}Xe,^{128,130}Te, ^{130,132}Ba and ^{150}Nd isotopes

The two neutrino double beta decay of $^{124,126}$Xe,$^{128,130}$Te, $ ^{130,132}$Ba and $^{150}$Nd isotopes is studied in the Projected Hartree-Fock-Bogoliubov (PHFB) model. Theoretical 2$ν$ $β^{-}β^{-}$ half-lives of $^{128,130}$Te, and $^{150}$Nd isotopes, and 2$νβ^{+}β^{+}$, 2$ν$ $β^{+}EC$ and 2$ν$ $ECEC$ for $ ^{124,126}$Xe and $^{130,132}$Ba nuclei are presented. Calculated quadrupolar transition probabilities B(E2: $0^+\to 2^+$), static quadrupole moments and $g$ factors in the parent and daughter nuclei reproduce the experimental information, validating the reliability of the model wave functions. The anticorrelation between nuclear deformation and the nuclear transition matrix element $M_{2ν} $ is confirmed.

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arXiv2007

Dynamical age of the universe as a constraint on the parametrization of dark energy equation of state

The dynamical age of the universe depends upon the rate of the expansion of the universe, which explicitly involves the dark energy equation of state parameter $w(z)$. Consequently, the evolution of $w(z)$ has a direct imprint on the age of the universe. We have shown that the dynamical age of the universe as derived from CMB data can be used as an authentic criterion, being independent of the priors like the present value of the Hubble constant $H_{0}$ and the cosmological density parameter $Ω_{M}^{0}$, to constrain the range of admissible values of $w$ for quiessence models and to test the physically viable parametrizations of the equation of state $w(z) $ in kinessence models. An upper bound on variation of dark energy density is derived and a relation between cosmological density parameters and the transition redshift is established.

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arXiv2006

The $0^{+}\to 0^{+}$ positron double-$β$ decay with emission of two neutrinos in the nuclei $^{96}$Ru, $^{102}$Pd, $^{106}$Cd and $^{108}$Cd

Theoretical results for %the $0^{+}\to 0^{+}$ positron double-$β$ decay with emission of two neutrinos in the nuclei $^{96}$Ru, $^{102}$Pd, $^{106}$Cd and $^{108}$Cd are presented. The study employs the Hartree-Fock-Bogoliubov model to obtain the wave functions of the parent and daughter nuclei, in conjunction with the summation method to estimate the double beta decay nuclear matrix elements. The reliability of the intrinsic wave functions of $^{96,102}$Ru, $% ^{96}$Mo, $^{102,106,108}$Pd and $^{106,108}$Cd nuclei are tested by comparing the theoretically calculated spectroscopic properties with the available experimental data. Calculated half-lives $T_{1/2}^{2ν}$ of $% ^{96}$Ru, $^{102}$Pd, $^{106}$Cd and $^{108}$Cd nuclei for 2$ν$ $β^{+}β^{+}$, 2$ν$ $β^{+}EC$ and 2$ν$ $ECEC$ modes are presented. The effect of deformation on the nuclear transition matrix element $M_{2ν}$ is also studied.

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arXiv2005

Parametrization of dark energy equation of state Revisited

A comparative study of various parametrizations of the dark energy equation of state is made. Astrophysical constraints from LSS, CMB and BBN are laid down to test the physical viability and cosmological compatibility of these parametrizations. A critical evaluation of the 4-index parametrizations reveals that Hannestad-Mörtsell as well as Lee parametrizations are simple and transparent in probing the evolution of the dark energy during the expansion history of the universe and they satisfy the LSS, CMB and BBN constraints on the dark energy density parameter for the best fit values.

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arXiv2004

Exploring effective interactions through transition charge density study of $^{70,72,74,76}\rm Ge$ nuclei

Transition charge density (TCD) for $ 0^+\to 2_1^+ $ excitation have been calculated for $\rm ^{70,72,74,76}Ge$ nuclei within microscopic variational framework employing $2p_{3/2}, 1f_{5/2}, 2p_{1/2}$ and $1g_{9/2}$ valence space. The calculated TCDs for different monopole variants of Kuo interaction are compared with available experimental results. Other systematics like reduced transition probabilities B(E2) and static quadrupole moments Q(2) are also presented. It is observed that the transition density study acts as a sensitive probe for discriminating the response of different parts of effective interactions.

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arXiv2004

n-p Interaction Effects on the Double Beta Decay Nuclear Matrix Elements for Medium Mass Nuclei

The quality of HFB wave functions are tested by comparing the theoretically calculated results with the available experimental data for a number of spectroscopic properties like yrast spectra, reduced B(E2) transition probabilities, quadrupole moments and g-factors for the nuclei involved in 2$ν$ $ββ$ decay. It is observed that the np interactions vis-à-vis the deformations of the intrinsic ground states of medium mass nuclei play a crucial role in the fine tuning of the nuclear matrix elements, M$_{2ν}.$

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arXiv2004

Two neutrino double $β$ decay of 94v$\leq A\leq $110 nuclei for $0^+ \to 0^+$ transition

The two neutrino double beta decay of $ ^{94,96}$Zr$,^{98,100}$Mo$,^{104}$% Ru and $ ^{110}$Pd nuclei for $0^{+}\to 0^{+}$ transition is studied in the PHFB model in conjunction with the summation method. In the first step, the reliability of the intrinsic wave functions has been established by obtaining an overall agreement between a number of theoretically calculated spectroscopic properties and the available experimental data for $ ^{94,96}$% Zr$,^{94,96,98,100}$Mo, $^{98,100,104}$Ru, $^{104,110}$Pd and $^{110}$Cd isotopes. Subsequently, the PHFB wave functions of the above mentioned nuclei are employed to calculate the nuclear transition matrix elements $M_{2ν}$ as well as half-lives $T{_{1/2}^{2ν}}$. Further, we have studied the effects of deformation on the $M_{2ν}$.

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arXiv2004

Two neutrino positron double beta decay of $^{106}$Cd for $0^+ \to 0^+$ transition

The two neutrino positron double beta decay of $^{106}$Cd for 0$^{+} \to $ 0$^{+}$ transition has been studied in the Hartree-Fock-Bogoliubov model in conjunction with the summation method. In the first step, the reliability of the intrinsic wave functions of $^{106}$Cd and $^{106}$Pd nuclei has been tested by comparing the theoretically calculated results for yrast spectra, reduced $B(E2$:$0^{+}\to 2^{+})$ transition probabilities, quadrupole moments $Q(2^{+})$ and gyromagnetic factors $g(2^{+})$ with the available experimental data. In the second step, the nuclear transition matrix element $M_{2ν}$ and the half-life $T_{1/2}^{2ν}$ for 0$^{+}\to$ 0$^{+}$ transition have been calculated with these wave functions. Moreover, we have studied the effect of deformation on nuclear transition matrix element M$_{2ν}.$

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