Mohammadreza Hadizadeh

Mohammadreza Hadizadeh
Ohio University · Department of Physics and Astronomy

PhD in theoretical physics

About

72
Publications
7,417
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529
Citations
Introduction
Theoretical physicist experienced in computational physics, with an extensive background in theoretical physics, numerical methods, algorithm development, and parallel and high-performance programming.
Additional affiliations
January 2016 - August 2021
Ohio University
Position
  • Professor (Associate)
January 2016 - August 2021
Central State University
Position
  • Professor (Associate)
April 2013 - August 2015
Ohio University
Position
  • PostDoc Position
Education
August 2003 - September 2008
University of Tehran
Field of study
  • Theoretical and Computational Physics

Publications

Publications (72)
Article
Full-text available
We propose a new regularization scheme to study the bound state of two-nucleon systems in lattice effective field theory. Inspired by a continuum effective field theory calculation, we study an exponential regulator acting on the leading-order and next-to-leading order interactions, consisting of local contact terms. By fitting the low-energy coeff...
Article
Full-text available
In this paper, we study the relativistic effects in a three-body bound state. For this purpose, the relativistic form of the Faddeev equations is solved in momentum space as a function of the Jacobi momentum vectors without using a partial wave decomposition. The inputs for the three-dimensional Faddeev integral equation are the off-shell boost two...
Article
Full-text available
The binding energies of argon dimer are calculated by solving the homogeneous Lippmann‐Schwinger integral equation in momentum space. Our numerical analysis using two models of argon‐argon interaction developed by Patkowski et al. not only confirms the eight argon dimer vibrational levels of the ground state of argon dimer (ie, for j = 0) predicted...
Article
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The discrete Efimov scaling behavior, well-known in the low-energy spectrum of three-body bound systems for large scattering lengths (unitary limit), is identified in the energy dependence of atom-molecule elastic cross-section in mass imbalanced systems. That happens in the collision of a heavy atom with mass $m_H$ with a weakly-bound dimer formed...
Article
Full-text available
The low-energy properties of the elastic $s-$wave scattering for the $n-^{19}$C are studied near the critical condition for the occurrence of an excited Efimov state in $n-n-^{18}$C. It is established to which extent the universal scaling laws, strictly valid in the zero-range limit, survive when finite range potentials are considered. By fixing th...
Article
Full-text available
We study the three-boson bound-state mass and wave functions for ground and excited states within the three-body relativistic framework with Kamada and Gl\"ocke boosted potentials in the limit of a zero-range interaction. We adopt a nonrelativistic short-range separable potential, with Yamaguchi and Gaussian form factors, and drive them towards the...
Preprint
Full-text available
We study the three-boson bound-state mass and wave functions for ground and excited states within the three-body relativistic framework with Kamada and Gl\"ocke boosted potentials in the limit of a zero-range interaction. We adopt a nonrelativistic short-range separable potential, with Yamaguchi and Gaussian form factors, and drive them towards the...
Article
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The matrix elements of relativistic nucleon-nucleon $(NN)$ potentials are calculated directly from the nonrelativistic potentials as a function of relative $NN$ momentum vectors, without using a partial wave decomposition. To this aim, the quadratic operator relation between the relativistic and nonrelativistic $NN$ potentials is formulated in mome...
Presentation
Full-text available
The Lippmann-Schwinger equation is formulated in momentum space and solved using the direct diagonalization method [1] to calculate the rovibrational energy levels of Neon, Krypton, and Xenon rare gas dimers. The inputs for our calculations are the matrix elements of diatomic interactions in momentum space, which are obtained from neon-neon, krypto...
Poster
Full-text available
Partial wave (PW) decomposition approaches have been widely used in the few-body calculation. After truncation, a PW representation leads to coupled equations on angular momentum quantum numbers. The complexity of modern few-nucleon interactions with a different spin, isospin, and angular momentum combinations, demands avoiding a partial wave repre...
Preprint
Full-text available
We propose a new regularization scheme to study the bound state of two-nucleon systems in Lattice Effective Field Theory. Inspired by continuum EFT calculation, we study an exponential regulator acting on the leading-order (LO) and next-to-leading order (NLO) interactions, consisting of local contact terms. By fitting the low-energy coefficients (L...
Preprint
Full-text available
In this paper, we study the relativistic effects in a three-body bound state. For this purpose, the relativistic form of the Faddeev equations is solved in momentum space as a function of the Jacobi momentum vectors without using a partial wave decomposition. The inputs for the three-dimensional Faddeev integral equation are the off-shell boost two...
Article
In this paper, we briefly review the application of the pulsed neutron activation method in flow measurements. We discuss the steps necessary to implement this method and the numerical techniques for data analysis and calculation of the mass flow rate. We also present the analytical solution of the transport equation in a cylindrical pipe to invest...
Cover Page
Full-text available
In an effort to benchmark the interatomic potentials, the article e25807 by Taghi Sahraeian and M. R. Hadizadeh presents a novel computational technique for the solution of the Schrödinger equation in its integral Lippmann-Schwinger form in momentum space. The image shows the x- z cross section of the probability densities |ψvj(p)|2 of argon dimer,...
Article
Full-text available
The authors argue that $^5$He binding energies reported by E. Ahmadi Pouya and A. A. Rajabi [Karbala International Journal of Modern Science {\bf 3}, 287 (2017)] are completely meaningless and should be discarded. The formalism of the paper has serious mistakes and the numerical results obtained from the coupled Yakubovsky integral equations in a...
Presentation
Full-text available
https://absuploads.aps.org/presentation.cfm?pid=13936
Article
Full-text available
The authors argue that the five-body binding energies obtained from the solution of the coupled Yakubovsky integral equations by E. Ahmadi Pouya and A.A. Rajabi [Acta Phys. Pol. B, 48, 1279 (2017)] are incorrect and should be discarded. The theory and formalism of the paper have serious mistakes and the numerical results are not trustable and canno...
Article
Full-text available
In this paper, we solve the coupled Yakubovsky integral equations for four-body (4B) bound state using the low-momentum effective two-body interaction (Formula presented.) in a three-dimensional (3D) approach, without using a partial wave (PW) decomposition. The renormalization group (RG) evolved interaction is constructed from spin-independent Mal...
Article
Full-text available
This contribution reports recent investigations on low-energy scaling properties of three-body systems, by considering elastic s–wave collisions of a particle in a bound-state formed by the remaining two-body system. First, some previous results for the case of the halo nucleus ²⁰C will be revised, for the neutron–¹⁹C scattering properties near the...
Article
Full-text available
The authors argue that the calculated $^6$He binding energies by the solution of the coupled Yakubovsky integral equation in a partial wave decomposition reported by E. Ahmadi Pouya and A. A. Rajabi [Eur. Phys. J. Plus (2016) 131: 240] are incorrect. The formalism of the paper has serious mistakes and the numerical results are not reproducible and...
Article
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Numerical results for the function , as given in Phys. Lett. B 764 (2017) 196, are revised. Fig. 2 and Tables 2 and 3 should be replaced by the following corresponding figure and tables. The conclusions of the original paper remain unchanged.
Article
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The authors argue that the calculated $^6$He binding energies by the solution of the coupled Faddeev-Yakubovsky integral equation in a Three-dimensional scheme reported by E. Ahmadi Pouya and A. A. Rajabi [Int. J. Mod. Phys. E 25, 9 (2016) 1650072] are incorrect. The formalism of the paper has serious mistakes and the numerical results are quite mi...
Article
Full-text available
In this paper, we have applied a three-dimensional approach for calculation of the relativistic nucleon-nucleon potential. The quadratic operator relation between the non-relativistic and the relativistic nucleon-nucleon interactions is formulated as a function of relative two-nucleon momentum vectors, which leads to a three-dimensional integral eq...
Article
Full-text available
We report a study on the low-energy properties of the elastic $s-$wave scattering of a neutron ($n$) in the carbon isotope $^{19}$C near the critical condition for the occurrence of an excited Efimov state in the three-body $n-n-^{18}$C system. For the separation energy of the two halo neutrons in $^{20}$C we use the available experimental data. We...
Article
Full-text available
The R-matrix method is implemented to study the heavy charm and bottom diquark, triquark, tetraquark and pentaquarks in configuration space, as the bound states of quark-antiquark, diquark-quark, diquark-antidiquark and diquark-antitriquark systems, respectively. The mass spectrum and the size of these systems are calculated for different partial w...
Article
Full-text available
The Similarity Renormalization Group (SRG) evolution of nucleon-nucleon (NN) interactions is calculated directly as function of momentum vectors for realistic potentials. To overcome the stiffness of the SRG flow equations in differential form for far off diagonal matrix elements, the differential equation is transformed to an integral form without...
Article
Full-text available
The homogeneous Lippmann-Schwinger integral equation is solved in momentum space to calculate the masses of heavy tetraquarks with hidden charm and bottom. The tetraquark bound states are studied in the diquark-antidiquark picture as a two-body problem. A regularized form of the diquark-antidiquark potential is used to overcome the singularity of t...
Article
Full-text available
The behaviour of an Efimov excited state is studied within a three-body Faddeev formalism for a general neutron-neutron-core system, where neutron-core is bound and neutron-neutron is unbound, by considering zero-ranged as well as finite-ranged two-body interactions. For the finite-ranged interactions we have considered a one-term separable Yamaguc...
Article
Full-text available
Studying of the relativistic three-body bound state in a three-dimensional (3D) approach is a necessary first step in a process to eventually perform scattering calculations at GeV energies, where partial-wave expansions are not useful. To this aim we recently studied relativistic effects in the binding energy and for the first time, obtained the r...
Article
Full-text available
The author argues that the calculated masses of heavy tetraquarks obtained by solution of the spin-independent homogeneous Lippmann-Schwinger integral equation in a diquark-antidiquark picture reported by M. Monemzadeh et al., Phys. Lett. B {\bf741}, 124 (2015), are incorrect. We have reexamined all of the published results and we believe that not...
Article
Full-text available
Background: The relativistic three-body problem has a long tradition in few-nucleon physics. Calculations of the triton binding energy based on the solution of the relativistic Faddeev equation in general lead to a weaker binding than the corresponding non-relativistic calculation. Purpose: In this work we solve for the three-body binding energy as...
Article
Full-text available
We report here some results we have obtained on the scale dependence of tetramer energies at the unitary limit, considering the number of tetramer energy levels appearing between the ground and the excited Efimov trimers. Our numerical investigation is done by solving a renormalized set of Faddeev-Yakubovsky equations for identical bosons with zero...
Article
Full-text available
The deuteron binding energy and wave function are calculated by using the recently developed three-dimensional form of low-momentum nucleon–nucleon (NN) interaction. The homogeneous Lippmann–Schwinger equation is solved in momentum space by using the low-momentum two-body interaction, which is constructed from Malfliet–Tjon potential. The results f...
Article
Full-text available
Universal properties of weakly-bound four-boson systems near the scaling limit are discussed by considering recent results obtained from the solution of Faddeev-Yakubovsky (FY) equations, which confirm a previous conjecture on a four-body scale dependence. In the present contribution, within a discussion on our numerical results obtained for the bi...
Article
Full-text available
The universal properties of weakly-bound tetramers close to the scaling limit are investigated by solving a subtracted set of Faddeev–Yakubovsky (FY) equations for identical bosons with a zero-range interaction. The solution demands a four-body scale independent of the trimer properties. Furthermore, the effect of a finite effective range is introd...
Article
Full-text available
In this paper, Lippmann-Schwinger equation is solved by using Martin and Cornel potentials to calculate $b\bar{c}$ energy levels. The results for some energy levels which are not observable, such as those of $t\bar{t}$ in its short half-life are also predicted. Our calculated energy levels are in good agreement with results of other groups. The...
Article
Full-text available
Three-dimensional (3D) Faddeev integral equations are solved for three-body (3B) bound state problem by using the non partial wave (PW) form of low momentum two-body (2B) interaction $V_{low-k}$ which is constructed from spin independent Malfliet-Tjon III (MT-III) potential. The dependence of 3B binding energy on the cutoff momentum of $V_{low-k}$...
Article
Full-text available
The shifts in the four-body recombination peaks, due to an effective range correction to the zero-range model close to the unitary limit, are obtained and used to extract the corresponding effective range of a given atomic system. The approach is applied to an ultracold gas of cesium atoms close to broad Feshbach resonances, where deviations of exp...
Article
Full-text available
Quark masses are of great prominence in high-energy physics. In this paper, we have studied the heavy meson systems via solving the Lippmann-Schwinger equation by using the Martin potential for heavy quark masses. We have also attempted to use Martin potential to find an acceptable mass spectrum for heavy quarkonia. We obtained this spectrum via mi...
Article
Full-text available
The fixed-slope correlation between tetramer and trimer binding energies, observed by Tjon in the context of nuclear physics, is mainly a manifestation of the dominance of the two-nucleon force in the nuclear potential, which makes the four-body scale on the order of the three-body one. In a more general four-boson case, the correlation between tet...
Article
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A brief review of a three-dimensional (3D) numerical method to solve few-nucleon bound and scattering states, without the standard partial-wave (PW) decomposition, is presented. The approach is applied to three-and four-nucleon bound states, by considering the solutions of the corresponding Faddeev-Yakubovsky (FY) integral equations in momentum spa...
Article
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We report recent advances on the study of universal weakly bound four-boson states from the solutions of the Faddeev-Yakubovsky equations with zero-range two-body interactions. In particular, we present the correlation between the energies of successive tetramers between two neighbor Efimov trimers and compare it to recent finite range potential mo...
Article
Full-text available
The general properties of exotic carbon systems, considered as a core with a two-neutron (n - n) halo, are described within a renormalized zero-range three-body model. In particular, it is addressed the cases with a core of 18C and 20C. In such a three-body framework, 20C has a bound subsystem (19C), whereas 22C has a Borromean structure with all s...
Article
Full-text available
After a brief discussion about the necessity of using the 3D approach, we present the non partial wave (PW) formalism for 3N bound state with the inclusion of 3N force (3NF). As an example the evaluation of 3NF matrix elements, which appear in the obtained coupled three-dimensional integral equations, for 2π-exchange Tucson–Melbourne 3NF show how w...
Article
Full-text available
The role of scales in the physics of large few-body systems is reviewed. They are evidenced by considering weakly-bound three and four particles, where point-like interactions are regularized and renormalized in a procedure characterized by the emergence of physical scales fixed by observables. The results obtained with renormalized zero-ranged two...
Article
Full-text available
The momentum-space structure of the Faddeev-Yakubovsky (FY)components of weakly-bound tetramers is investigated at the unitary limit using a renormalized zero-range two-body interaction. The results, obtained by considering a given trimer level with binding energy $B_3$, provide further support to a universal scaling function relating the binding e...
Article
Full-text available
We evidence the existence of a universal correlation between the binding energies of successive four-boson bound states (tetramers), for large two-body scattering lengths (a), related to an additional scale not constrained by three-body Efimov physics. Relevant to ultracold atom experiments, the atom-trimer relaxation peaks for |a|→∞ when the ratio...
Article
Full-text available
A recently developed three-dimensional approach (without partial-wave decomposition) is considered to investigate solutions of Faddeev-Yakubovsky integral equations in momentum space for three- and four-body bound states, with the inclusion of three-body forces. In the calculations of the binding energies, spin-dependent nucleon-nucleon (NN) potent...
Article
Full-text available
The homogeneous Lippmann-Schwinger integral equation is solved in momentum space by using confining potentials. Since the confining potentials are unbounded at large distances, they lead to a singularity at small momentum. In order to remove the singularity of the kernel of the integral equation, a regularized form of the potentials is used. As an...
Article
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Export Date: 2 June 2011, Source: Scopus, doi: 10.1007/s10773-010-0609-6, Language of Original Document: English, Correspondence Address: Monemzadeh, M.; Department of Physics, University of Kashan, Kashan, Iran; email: monem@kashanu.ac.ir, References: Halzen, F., Martin, A.D., (1984) Quarks and Leptons, , New York: Wiley;
Article
Full-text available
The Faddeev-Yakubovsky formalism for the study of three-and four-boson bound states have been derived in a partial wave representation for separable potentials and by considering only the s-wave channel contribution. In order to be able to study the weakly three-and four-boson bound states the obtained formalism is simplified for a zero range inter...
Article
Full-text available
The occurrence of a new limit cycle in few-body physics, expressing a universal scaling function relating the binding energies of two consecutive tetramer states, is revealed, considering a renormalized zero-range two-body interaction applied to four identical bosons. The tetramer energy spectrum is obtained when adding a boson to an Efimov bound s...
Article
Full-text available
As an application of the new realistic three‐dimensional (3D) formalism reported recently for three‐nucleon (3N) bound states, an attempt is made to study the effect of three‐nucleon forces (3NFs) in triton binding energy in a non partial wave (PW) approach. The spin‐isospin dependent 3N Faddeev integral equations with the inclusion of 3NFs, which...
Article
Full-text available
The first step toward the application of an effective non partial wave (PW) numerical approach to few-body atomic bound states has been taken. The two-body transition amplitude which appears in the kernel of three-dimensional Faddeev-Yakubovsky integral equations is calculated as function of two-body Jacobi momentum vectors, i.e. as a function of t...
Article
Full-text available
An interaction of a photon with $^3H$ is invstigated based on a three dimensional Faddeev approach. In this approach the three-nucleon Faddeev equations with two-nucleon interactions are formulated with consideration of the magnitude of the vector Jacobi momenta and the angle between them with the inclusion of the spin-isospin quantum numbers, with...
Article
Full-text available
After a brief discussion about the necessity of using the 3D approach, we present the non partial wave (PW) formalism for 3N bound state with the inclusion of 3N force (3NF). As an example the evaluation of 3NF matrix elements, which appear in the obtained coupled three-dimensional integral equations, for 2π-exchange TucsonMelbourne 3NF show how wo...
Article
Full-text available
The recently developed chiral nucleon-nucleon ($NN$) potential by Epelbaum \emph{et al.} has been employed to study the two-nucleon bound and scattering states. Chiral $NN$ potential up to next-to-next-to-next-to leading order (N$^3$LO) is used to calculated the np differential cross section and deuteron binding energy in a realistic three dimensio...
Article
Full-text available
Recently developed three-dimensional Faddeev integral equations for the three-nucleon bound state with two-nucleon interactions have been solved in momentum space for the Bonn-B potential.
Article
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The formulation of the low-momentum effective interaction in the model space Lee-Suzuki and the renormalization group methods is implemented in the three-dimensional approach. In this approach the low-momentum effective interaction V_{low k} has been formulated as a function of the magnitude of momentum vectors and the angle between them. As an app...
Article
Full-text available
A spin-isospin dependent Three-Dimensional formalism based on the momentum vectors for the four-nucleon bound state is presented. The four-nucleon Yakubovsky equations with two- and three-nucleon interactions are formulated as a function of the vector Jacobi momenta. Our formalism, according to the number of spin-isospin states that one takes into...
Article
Full-text available
A spin-isospin dependent Three-Dimensional approach based on momentum vectors for formulation of the three-nucleon bound state is presented in this paper. The three-nucleon Faddeev equations with two-nucleon interactions are formulated as a function of vector Jacobi momenta, specifically the magnitudes of the momenta and the angle between them with...
Article
Full-text available
The four-body Yakubovsky equations in a Three-Dimensional approach with the inclusion of the three-body forces is proposed. The four-body bound state with two- and three-body interactions is formulated in Three-Dimensional approach for identical particles as function of vector Jacobi momenta, specifically the magnitudes of the momenta and the angle...
Article
Full-text available
The four-body bound state with two-body forces is formulated by the Three-Dimensional approach, which greatly simplifies the numerical calculations of few-body systems without performing the Partial Wave components. We have obtained the Yakubovsky equations directly as three dimensional integral equations.
Article
Full-text available
The four-body bound state with two-body interactions is formulated in three-dimensional approach, a recently developed momentum-space representation which greatly simplifies the numerical calculations of few-body systems without performing the partial wave decomposition. The obtained three-dimensional Faddeev-Yakubovsky integral equations are solve...

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