# Mohammadreza HadizadehOhio University · Department of Physics and Astronomy

Mohammadreza Hadizadeh

PhD in theoretical physics

## About

73

Publications

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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

January 2016 - August 2021

April 2013 - August 2015

Education

August 2003 - September 2008

## Publications

Publications (73)

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...

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...

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...

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...

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...

We study the ground-state properties of $\prescript{6}{YY}{\text{He}}$ double hyperon for $\lla$ and $\ooa$ nuclei in a three-body model $(Y+Y+\alpha)$. We solve two coupled Faddeev equations corresponding to three-body configurations $(\alpha Y,Y)$ and $(YY, \alpha)$ in configuration space with the hyperspherical harmonics expansion method by empl...

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...

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...

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...

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...

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...

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...

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...

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...

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,...

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...

https://absuploads.aps.org/presentation.cfm?pid=13936

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...

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...

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...

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...

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.

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...

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...

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...

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...

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...

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...

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...

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...

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...

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...

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...

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...

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...

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...

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...

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 $V_{low-k}$...

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...

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...

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...

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...

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...

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...

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...

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...

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...

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...

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...

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...

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;

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...

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...

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...

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...

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...

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...

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...

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.

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...

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...

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...

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...