Tue·Jan 17, 2023Tuesday·January 17, 2023

1. 01*

   CP violation induced by neutral meson mixing interference

   Yin-Fa Shen🇨🇳 · Wen-Jie Song🇨🇳 · Qin Qin🇨🇳

   We propose a new kind of CP violation effect -- the double-mixing CP asymmetry -- in a type of cascade decays that involves at least two mixing neutral mesons in the decay chain. It is induced by the interference between different oscillation paths of the neutral mesons in the decay process. The double-mixing CP asymmetry is of critical importance for phenomenology, providing opportunities for clean determination of CKM phase angles free of uncertainties induced by the strong dynamics. To illustrate this point, we perform a phenomenological analysis on two examples: $B_s^0\to {\rho }^{0}K\to {\rho }^0({\pi }^{-}{\ell }^{+}{\nu }_{\ell })$ and $B^0\to D^{0}K\to D^0({\pi }^{+}{\ell }^{-}{\bar{\nu }}_{\ell })$. Our results demonstrate that the double-mixing CP asymmetry can be numerically significant in the absence of strong phases, as shown by the former example. Additionally, the latter example showcases the direct extraction of weak and strong phases from data, without the need for theoretical inputs.

   hep-phhep-exPRD(2024)·15 citations
2. 02*

   Reconciling collider signals, dark matter, and the muon anomalous magnetic moment in the supersymmetric $U(1{)}_R\times U(1{)}_{B-L}$ model

   Parham Dehghani🇨🇦 · Mariana Frank🇨🇦

   We study the low-scale predictions of the supersymmetric model extended by $U(1{)}_R\times U(1{)}_{B-L}$ symmetry, obtained by breaking $SO(10)$ symmetry at GUT scale via a left-right supersymmetric model. Two new singlet Higgs fields (${\chi }_R$, ${\bar{\chi }}_R$) are responsible for the $U(1{)}_R\times U(1{)}_{B-L}$ symmetry breaking to the standard model gauge group. We explore the phenomenology of this model by assuming universal and non-universal boundary conditions at the GUT scale and their effects in obtaining consistency among low-energy observables, dark matter experiments, muon magnetic moment measurements, and $Z^{\prime }$ phenomenology. We examine different scenarios with both the lightest neutralino and sneutrino mass eigenstates as the dark matter candidates that satisfy all the experimental constraints. We explore the collider signals of various scenarios including different benchmarks and their significance versus standard model background. To complement our analysis, we perform recasting of several LHC analyses to verify the credibility of different benchmarks. We find that relaxing the universality conditions at $M_{\mathrm{GUT}}$ can significantly improve the agreement of the model against the experimental bounds. While the muon anomalous magnetic moment is found to be the most challenging observable to fit with the model, we find points in the parameter space consistent within $2\sigma$ from the average measured value, employing non-universality at the GUT scale.

   hep-phJHEP(2023)·5 citations
3. 03*

   Four-loop massive cusp anomalous dimension in QCD: a calculation from asymptotics

   Nikolaos Kidonakis🇺🇸

   I present a general method for determining the massive cusp anomalous dimension in QCD to a very high degree of accuracy using its asymptotic behavior at small and large quark velocities. I show that the method works exceedingly well at two and three loops where exact results are already known. I then present a calculation of the massive cusp anomalous dimension using its asymptotics at four loops, and I provide a detailed study of the results for different values of the number of flavors and for separate color structures. The method can be further extended and applied to higher numbers of loops.

   hep-phhep-thPRD(2023)·13 citations
4. 04*

   Rare top quark decays in the minimal R-symmetric supersymmetric standard model

   Ke-Sheng Sun🇨🇳 · Zhi-Chuan Wang🇨🇳 · Xiu-Yi Yang🇨🇳 · Tie-Jun Gao🇨🇳 · Hai-Bin Zhang🇨🇳

   The one-loop contributions to the flavor-changing neutral current decays of the top quark into a light quark and a gauge boson or Higgs boson, namely $t\to qV,qh$, with $q$ being $u$ or $c$, and $V$ being $\gamma$, $g$, or $Z$, are analyzed in this study within the framework of the minimal R-symmetric supersymmetric standard model. The charginos in this model have been separated into two sets, i.e., $\chi$-chargino and $\rho$-chargino. The numerical results reveal that gluino or $\rho$-chargino predominantly dictate the predictions for BR($t\to qV,qh$), while the impact of neutralino or $\chi$-chargino contributions is insignificant. By incorporating the constraints imposed by the squark mixing parameters from $\bar{B}\to X_s\gamma$ and $B_{d,s}^0\to {\mu }^{+}{\mu }^{-}$, the theoretical predictions for BR($t\to qg$) can be significantly augmented to approximately $\mathcal{O}(10^{-5}-10^{-6})$. On the other hand, the values of BR($t\to q\gamma ,qZ,qh$) are predicted to be at least four orders of magnitude below the current experimental limits.

   hep-phMod.Phys.Lett.A(2024)·2 citations
5. 05*

   Probing active-sterile neutrino transition magnetic moments at LEP and CEPC

   Yu Zhang🇨🇳 · Wei Liu🇨🇳

   We consider the sterile neutrino, that is also know as heavy neutral lepton (HNL), interacting with the Standard Model (SM) active neutrino and photon via a transition magnetic moment, the so-called dipole portal, which can be induced from the more general dipole couplings which respect the full gauge symmetries of the SM. Depending on the interactions with $\mathrm{SU}(2{)}_L$ and ${\mathrm{U}(1)}_Y$ field strength tensors ${\mathcal{W}}_{\mu \nu }^a$ and $B^{\mu \nu }$, we consider four typical scenarios and probe the constraints on the couplings with photon $d_{\gamma }$ at LEP using the analyses to search monophoton signature and the measurement of $Z$ decay. We find that in the considered scenarios assuming the coupling with $Z$ boson $d_Z\ne 0$, the measurement of $Z$ decaying into photon plus invisible particles can provide stricter constraints than the monophoton searches at the LEP1. The complementary constraints to existing experiments can be provided by the LEP. We also investigate the sensitivity on the dipole portal coupling $d_{\gamma }$ from the monophoton searches at future electron colliders, such as CEPC, and find that CEPC can explore the previously unconstrained parameter space by current experiments.

   hep-phPRD(2023)·24 citations
6. 06*

   Overview of neutrino electromagnetic properties 2022

   Alexander Studenikin🇷🇺

   Continuing the discussion of the problem of electromagnetic properties of neutrinos, in this note we present additional information on this problem and focus on selected issues that have been developed recently, after the publication of our previous brief review on this topic [1].

   hep-ph2 citations
7. 07*

   Generation of isospin sum rules in heavy hadron weak decays

   Di Wang🇨🇳

   Isospin symmetry is the most precise flavor symmetry. In this work, we propose an approach to generate isospin sum rules for heavy hadron decays without the Wigner-Eckhart invariants. The effective Hamiltonian of heavy quark weak decay is fully invariant under a series of isospin lowering operators $I_{-}^n$ and then the isospin sum rules can be generated through several master formulas. It provides a systematic way to study the isospin symmetry of $c$- and $b$-hadron weak decays. The theoretical framework of this approach is presented in detail with the nonleptonic decays of $D$ and $B$ mesons as examples. In addition, the $V$-/$U$-spin sum rules are derived in a similar algorithm by replacing $I_{-}^n$ with $V_{-}^n$/$U_{-}^n$.

   hep-phJHEP(2023)·7 citations
8. 08*

   The Nambu-Goto string in QCD: Dipole interactions, scattering and entanglement

   Yizhuang Liu🇵🇱 · Maciej A. Nowak🇵🇱 · Ismail Zahed🇺🇸

   We revisit some aspects of the stringy approach to dipole-dipole interactions, scattering and entanglement in QCD, using the Nambu-Goto (NG) string, without recourse to holography. We first show that the potential between two static dipoles exchanging closed NG strings is attractive at all separations. Underlining the exchange there is an emergent entropy, that is dominated by the tachyon at large separation, and vanishes at short separation, a measure of the confinement-deconfinement transition. The same tachyon is dominant in the scattering amplitude, as a correlator of two Wilson loops for two fixed dipole-like hadrons separated at large rapidity gap, where the contribution of the worldsheet fermions is included. While the tachyon causes the mean string bit density to grow exponentially with the rapidity, the total scattering cross section still satisfies the Froissart bound by quantum shadowing. The stringy scattering exchange also carries an entanglement entropy, that saturates when the bound is reached. For hadrons with varying dipole sizes, the tachyon exchange takes place in hyperbolic space in the conformal limit. The result for the full S-matrix is reminiscent of the one from Mueller${}^{\prime }$s evolved dipole wavefunction, for the total dipole-dipole cross section in perturbative QCD.

   hep-phhep-latnucl-thPRD(2023)·9 citations
9. 09*

   Kinked tracks from ${\Sigma }^{+}$ baryons as a probe of light quark polarizations

   Yevgeny Kats🇮🇱

   Jets initiated by energetic quarks carry in an obvious way approximate information about the original quark energy and momentum. In a less obvious way, they also carry information about the quark polarization. Previous works have shown how the polarization information can be extracted by ATLAS and CMS using events in which the quark hadronizes to an energetic baryon - ${\Lambda }_b$ for $b$ quarks, ${\Lambda }_c$ for $c$ quarks and $\Lambda$ for $s$ quarks. In this paper we extend these proposals to ${\Sigma }^{+}$ baryons, which can provide sensitivity to polarizations of $s$ and $u$ quarks. We analyze the various aspects of how the kinked track signature of the ${\Sigma }^{+}\to p{\pi }^0$ decay can be used for this purpose. We evaluate the feasibility of such measurements in $t\bar{t}$ samples.

   hep-phhep-exJHEP(2023)·4 citations
10. 10*

    On thermodynamically consistent quasiparticle model at finite chemical potential

    Wei-Liang Qian🇨🇳 · Hong-Hao Ma🇨🇳 · Shao-Yu Yin🇨🇳 · Ping Wang🇨🇳

    We explore the quasiparticle model at finite chemical potential related to Ru-Keng Su's distinguished contributions to the topic. Besides, we discuss recent developments in the model, and in particular, one argues that the effective mass of the quasiparticle might attain a specific form as a function of momentum, in addition to its dependence on temperature and chemical potential. Unlike the approaches based on the properties of underlying symmetry or renormalization group, the momentum dependence emerges as a special solution to an integro-differential equation resulting from the underlying thermodynamic consistency. Moreover, this special solution to the problem is shown to be more general than previously explored in the literature. Instead of fitting to the lattice QCD data at vanishing chemical potential, in this work, we adopt a ``bottom-up'' approach by assuming some analytic ansatzes that are manifestly thermodynamically consistent. The remaining physical quantities are subsequently derived, and possible implications are also addressed.

    hep-phSymmetry(2023)·0 citations
11. 11*

    NLO Effects in QCD Sum-Rule Analyses of $f_0(500)$ as a Tetraquark state

    B.A. Cid-Mora🇩🇪 · T.G. Steele🇨🇦

    QCD sum-rule studies have been useful to understand and get an insight on the structure of exotic states, such as tetraquark systems. Moreover, the majority of these studies are performed only at leading-order (LO) within the light tetraquarks systems picture, overlooking the effects of higher order corrections, thus motivating our analysis. Our study focused on the effects of next-to-leading order (NLO) contributions to the mass estimates of the lightest tetraquark state ($J^{PC}=0^{++}$), the so-called $\sigma$ or $f_0(500)$, using ratios of QCD Laplace sum-rules. A variety of different models were used, which included multiple resonances and width effects, resulting in a final mass prediction of $0.52\text{GeV}<m_{\sigma }<0.77\text{GeV}$. Even though the ratios of sum-rules demonstrated some insensitivity under superficially large NLO contributions, they added the beneficial feature of canceling the dependence on the anomalous dimension. Our findings were in good agreement with patterns found in Chiral Lagrangian studies regarding the four-quark structure of the $\sigma$ state, including the relative coupling strengths within the multiple resonance analysis.

    hep-phPoS(2023)·2 citations
12. 12*

    Remarks on Compton forward scattering singularity in the NCQED

    Josip Trampetić🇭🇷 · Jiangyang You🇭🇷

    We investigate the behaviour of head-to-head high energy Compton scattering in the $\theta$-exact noncommutative (NC) quantum electrodynamics (QED) on the Moyal space (NCQED) in the amid its unresolved forward scattering singularity. We model the effect of the currently unknown resolution to this unavoidable collinear singularity by cut-offs which are functions of the control variable $s/{\Lambda }_{\mathrm{NC}}^2$, and find that such cut-off functions can suppress NC corrections to the inverse Compton scattering to negligible. Discussed cut-offs leave the unpolarised integral cross section of the forward region larger than the backward region all the time, making the former potentially easier to observe. Our estimations indicate that such an effect may be visible in the future collider experiments when the NC scale ${\Lambda }_{\mathrm{NC}}\gtrsim 1$ TeV.

    hep-phhep-exhep-thEPJC(2025)·2 citations
13. 13*

    Higgs boson decays to $B_c$ meson in the fragmentation-function approach

    Xu-Chang Zheng🇨🇳 · Xing-Gang Wu🇨🇳 · Xi-Jie Zhan🇨🇳 · Guang-Yu Wang🇨🇳 · Hong-Tai Li🇨🇳

    In the paper, we present a calculation of the decay widths for the Higgs boson decays to the $B_c$, $B_c^{\ast }$, $B_c(2^1{S}_0)$ and $B_c^{\ast }(2^3{S}_1)$ mesons using the fragmentation-function approach. In the calculation, the fragmentation functions up to order ${\alpha }_s^3$ based on the nonrelativistic QCD factorization theory are used, and the decay widths for $H\to Q+X$ and $H\to g+X$ at the partonic level are calculated up to order ${\alpha }_s$. The large logarithms of $m_H^2/m_{Bc}^2$ are resummed up to next-to-leading logarithmic accuracy by solving the evolution equations for the running quark masses and the fragmentation functions. Compared to the leading-order decay widths based on the nonrelativistic QCD approach, the decay widths based on the fragmentation-function approach that include the higher-order QCD corrections are reduced significantly. Our numerical results show that there are about $1.2\times 10^5$ $B_c$ events via the Higgs decays to be produced at the HL-LHC with $3a{b}^{-1}$, and about $1.6\times 10^6$ $B_c$ events via the Higgs decays to be produced at the HE-LHC with $15a{b}^{-1}$.

    hep-phPRD(2023)·9 citations
14. 14*

    Production of $X_{cs\bar{c}\bar{s}}$ in heavy ion collisions

    Yuanyuan Hu🇨🇳 · Hui Zhang🇨🇳

    The yields of $X_{cs\bar{c}\bar{s}}$ with its two possible configurations, i.e., the hadronic molecular state and tetraquark state, for Pb-Pb collisions at $\sqrt{s_{NN}}=5.02\mathrm{TeV}$ is studied. A volume effect is found from the centrality distribution of $X_{cs\bar{c}\bar{s}}$, which could help to distinguish the inner structure of $X_{cs\bar{c}\bar{s}}$. We also show the rapidity and the transverse momentum distributions of $X_{cs\bar{c}\bar{s}}$ production as well as its elliptic flow coefficient as a function of the transverse momentum.

    hep-phnucl-thCPC(2023)·2 citations
15. 15*

    ${\pi }^0,\eta ,{\eta }^{\prime }$ two-photon transition form factors in the holographic soft-wall model and contributions to $(g-2{)}_{\mu }$

    Pietro Colangelo🇮🇹 · Floriana Giannuzzi🇮🇹 · Stefano Nicotri🇮🇹

    We compute the two-photon transition form factors of the light pseudoscalar ${\pi }^0$, $\eta$ and ${\eta }^{\prime }$ mesons in a soft-wall holographic model of QCD with a solution of the $U(1{)}_A$ problem. We compare the results with the experimental data in different ranges of photon virtualities. The obtained transition form factors are used to determine the ${\pi }^0$, $\eta$ and ${\eta }^{\prime }$ pole terms in the hadronic light-by-light scattering contribution to the anomalous magnetic moment of the muon.

    hep-phPLB(2023)·15 citations
16. 16*

    Limiting fragmentation in heavy-ion stopping?

    Johannes Hoelck🇩🇪 · Emiko Hiyama🇯🇵 · Georg Wolschin🇩🇪

    Based on a nonequilibrium-statistical relativistic diffusion model that is consistent with quantum chromodynamics (QCD), we investigate baryon stopping in relativistic heavy-ion collisions at SPS, RHIC, and LHC energies. The net-proton rapidity distributions of the individual fragments exhibit a scaling behaviour similar to limiting fragmentation (LF) that is related to geometric scaling in the colour-glass condensate (CGC) and depends upon the gluon saturation scale. Forward-angle net-proton data at energies reached at the LHC are required to verify the prediction.

    hep-phPLB(2023)·5 citations
17. 17*

    A model for fermionic dark matter addressing both the CDF ${\mathbf{M}}_{\mathbf{W}}$ and the $(\mathbf{g}-2{)}_{\mu }$ anomalies

    Giorgio Arcadi🇮🇹 · Abdelhak Djouadi🇪🇸

    We explore a simple and renormalizable model which incorporates a new stable fermion that accounts for the dark matter in the universe and which, at the same time, provides an interpretation of two recent measurements that deviate from the expectation in the Standard Model: the muon anomalous magnetic moment and the mass of the W-boson recently performed by the CDF collaboration. The model has a fermionic sector that involves a singlet and a doublet fields and in which the lightest state is the DM and interacts mainly through the Higgs portal. Two realizations of such a possibility are considered: one in which the Higgs sector is minimal and another in which it is extended to contain two doublet fields.

    hep-phFront.in Phys.(2023)·5 citations
18. 18*

    Pair Production in time-dependent Electric field at Finite times

    Deepak Sah🇮🇳 · Manoranjan P. Singh🇮🇳

    We investigate the finite time behavior of pair production from the vacuum by time-dependent Sauter pulsed electric fields in spinor quantum electrodynamics (QED). Using the exact analytic solution of the mode function, we find the one-particle distribution function in momentum space. The longitudinal momentum spectrum of particles shows oscillatory behavior at a finite time in a small window of longitudinal momentum where the electric field diminishes to around one-hundredth of its maximum magnitude and its oscillation time is close to Compton time. This oscillation is asymmetric, i.e., the amplitude of oscillation is maximum for negative longitudinal momentum compared to positive rate. The change in the longitudinal momentum spectrum can occur due to the quantum interference effect, and this quantum interference effect comes from the result of dynamical tunneling. The transverse momentum spectrum shows the Gaussian structure with a peak at zero transverse momentum when $t=0$. After $t\approx \tau /2$, the smooth Gaussian design becomes distorted, and we see inconstancy in spectrum structure, either a dip at the origin with an off-axis maximum or a peak at zero transverse momentum with small mountains up to $t\approx 2\tau$ observed. After that, the spectrum shows a maximum height at zero transverse momentum with weakly pronounced peaks.

    hep-phhep-thphysics.plasm-phquant-ph7 citations
19. 19*

    Probing the Blue Axion with Cosmic Optical Background Anisotropies

    Pierluca Carenza🇸🇪 · Giuseppe Lucente🇮🇹 · Edoardo Vitagliano🇮🇱

    A radiative decaying Big Bang relic with a mass $m_a\simeq 5-25\mathrm{eV}$, which we dub "blue axion", can be probed with direct and indirect observations of the cosmic optical background (COB). The strongest bounds on blue-axion cold dark matter come from the Hubble Space Telescope (HST) measurements of COB anisotropies at $606$~nm. We suggest that new HST measurements at higher frequencies ($336$~nm and $438$~nm) can improve current constraints on the lifetime up to one order of magnitude, and we show that also thermally produced and hot relic blue axions can be competitively probed by COB anisotropies. We exclude the simple interpretation of the excess in the diffuse COB detected by the Long Range Reconnaissance Imager (LORRI) as photons produced by a decaying hot relic. Finally, we comment on the reach of upcoming line intensity mapping experiments, that could detect blue axions with a lifetime as large as $10^{29}\mathrm{s}$ or $10^{27}\mathrm{s}$ for the cold dark matter and the hot relic case, respectively.

    hep-phastro-ph.COPRD(2023)·76 citations
20. 20*

    Q-balls in K-field theory

    Aníbal Faúndez🇨🇱 · Radouane Gannouji🇨🇱

    We study the existence and stability of Q-balls in noncanonical scalar field theories, $K(|\Phi {|}^2,X)$ where $\Phi$ is the complex scalar field and $X$ is the kinetic term. We extend the Vakhitov-Kolokolov stability criterion to K-field theories. We derive the condition for the perturbations to have a well-posed Cauchy problem. We find that $K_{,X}>0$ and $K_{,X}+X{K}_{,XX}>0$ are necessary but not sufficient conditions. The perturbations define a strongly hyperbolic system if $(K_{,X}-2{\varphi }^{\prime 2}{K}_{,XX})(K_{,X}+2{\omega }^2{\varphi }^2{K}_{,XX})>0$. For all modifications studied, we found that perturbations propagate at a speed different from light. Generically, the noncanonical scalar field can lower the charge and energy of the Q-ball and therefore improves its stability.

    ↳ hep-thgr-qchep-phPRD(2023)·1 citation
21. 21*

    Spin-Flavor SU(6) Symmetry for Baryon-Baryon Interactions

    Makoto Oka🇯🇵

    Short-range parts of the baryon-baryon ($BB$) interactions are analyzed from the spin-flavor $SU(6{)}_{sf}\supset SU(3{)}_f\times SU(2{)}_s$ symmetry viewpoint. Due to the Pauli principle of quarks, the symmetry structure of the wave functions is restricted at short distances. Consequently, the $BB$ states with the same spin-flavor quantum numbers may be reduced into one or a few spin-flavor states. Such reduction causes repulsion and/or suppression of transitions at short distances. We show that the observed suppression of the $\Xi N\to \Lambda \Lambda$ conversion can be explained following the above argument. It is also applied to the suppression of the $\Sigma N$ to $\Lambda N$ conversion in the spin 1 and isospin 1/2 channel. Furthermore, the effects of the color-magnetic interaction (CMI), which prefers flavor antisymmetric states, to the Pauli-allowed states are discussed.

    ↳ nucl-thhep-lathep-ph3 citations
22. 22*

    Exploring the $H_0$ tension and the evidence of dark sector interaction from 2D BAO measurements

    Armando Bernui🇧🇷 · Eleonora Di Valentino🇬🇧 · William Giarè🇬🇧 · Suresh Kumar🇮🇳 · Rafael C. Nunes🇧🇷

    We explore observational constraints on a cosmological model with an interaction between dark energy (DE) and dark matter (DM), using a compilation of 15 measurements of the 2D BAO (i.e., transversal) scale in combination with Planck-CMB data, to explore the parametric space of a class of interacting DE models. We find that 2D BAO measurements can generate different observational constraints compared to the traditional approach of studying the matter clustering in the 3D BAO measurements. Contrary to the observations for the $\Lambda$CDM and IDE models when analyzed with Planck-CMB + 3D BAO data, we note that Planck-CMB + 2D BAO data favor high values of the Hubble constant $H_0$. From the joint analysis with Planck-CMB + 2D BAO + Gaussian prior on $H_0$, we find $H_0=73.4\pm 0.88$ km/s/Mpc. We conclude that the $H_0$ tension is solved in the IDE model with strong statistical evidence (more than 3$\sigma$) for the IDE cosmologies.

    ↳ astro-ph.COgr-qchep-phPRD(2023)·115 citations
23. 23*

    Transverse momentum-dependent parton distributions for longitudinally polarized nucleons from domain wall fermion calculations at the physical pion mass

    M. Engelhardt🇺🇸 · N. Hasan🇩🇪 · T. Izubuchi🇺🇸 · C. Kallidonis🇺🇸 · S. Krieg🇩🇪 · S. Meinel🇺🇸 · J. Negele🇺🇸 · A. Pochinsky🇺🇸 · G. Silvi🇩🇪 · S. Syritsyn🇺🇸

    Previous Lattice QCD calculations of nucleon transverse momentum-dependent parton distributions (TMDs) focused on the case of transversely polarized nucleons, and thus did not encompass two leading-twist TMDs associated with longitudinal polarization, namely, the helicity TMD and the worm-gear TMD corresponding to transversely polarized quarks in a longitudinally polarized nucleon. Based on a definition of TMDs via hadronic matrix elements of quark bilocal operators containing staple-shaped gauge connections, TMD observables characterizing the aforementioned two TMDs are evaluated, utilizing an RBC/UKQCD domain wall fermion ensemble at the physical pion mass.

    ↳ hep-lathep-phPoS(2023)·1 citation
24. 24*

    The Parametric Generalized Fractional Nikiforov-Uvarov Method and Its Applications

    M. Abu-shady🇪🇬 · H. M. Fath-Allah🇪🇬

    By using generalized fractional derivative, the parametric generalized fractional Nikiforov-Uvarov (NU) method is introduced. The second-order parametric generalized differential equation is exactly solved in the fractional form. The obtained results are applied on the extended Cornell potential, the pesudoharmonic potential, the Mie potential, the Kratzer-Fues potential, the harmonic oscillator potential, the Morse potential, the Woods-Saxon potential, the Hulthen potential, the deformed Rosen-Morse potential and the Poschl-Teller potential which play an important role in the fields of molecular and hadron physics. The special classical cases are obtained from the fractional cases at ELFA = BETA =1 which are agreements with recent works.

    ↳ quant-phhep-phEast Eur.J.Phys.(2023)·6 citations

* Reconstructed cohort: no mailing for this day survives in the archive. Papers are grouped by their submission times and arXiv's announcement cut-off, assuming announcement without delay; positions follow identifier order. Validated at ~91% exact-day agreement against the archived era.