J. L . Barrow
Graduate of Southern Adventist University with BS Physics, BS Mathematics, minors in Chemistry and Biology in May 2015.
Joined University of Tennessee at Knoxville for PhD graduate study in Physics in August 2015; received my MS in December 2018; DOE SCGSR Program Fellow 1/2019-12/2019 based at Fermilab; URA Visiting Scholar Fellow 1/2020-2/2021 based at Fermilab. Defended PhD in April 2021 for a May 2021 graduation.
Joined MIT and TAU jointly (based at Fermilab) for postdoctoral work on e4nu, MicroBooNE, GENIE, CLAS, and DUNE May 2021-June 2023.
Joined UMN via Fermilab for postdoctoral work on NOvA for neutrino cross sections and Run Coordination, continuing work on DUNE as High-Energy Physics Working Group Convener, GENIE, and continuing work on MicroBooNE
Supervisors: Yuri Kamyshkov (graduate, pricipal), Nadia Fomin (graduate), Or Hen (post-doctoral), Adi Ashkenazi (post-doctoral), and Gregory Pawloski
Address: Collegedale, Tennessee, United States
Joined University of Tennessee at Knoxville for PhD graduate study in Physics in August 2015; received my MS in December 2018; DOE SCGSR Program Fellow 1/2019-12/2019 based at Fermilab; URA Visiting Scholar Fellow 1/2020-2/2021 based at Fermilab. Defended PhD in April 2021 for a May 2021 graduation.
Joined MIT and TAU jointly (based at Fermilab) for postdoctoral work on e4nu, MicroBooNE, GENIE, CLAS, and DUNE May 2021-June 2023.
Joined UMN via Fermilab for postdoctoral work on NOvA for neutrino cross sections and Run Coordination, continuing work on DUNE as High-Energy Physics Working Group Convener, GENIE, and continuing work on MicroBooNE
Supervisors: Yuri Kamyshkov (graduate, pricipal), Nadia Fomin (graduate), Or Hen (post-doctoral), Adi Ashkenazi (post-doctoral), and Gregory Pawloski
Address: Collegedale, Tennessee, United States
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Graduate Papers by J. L . Barrow
n
ˉ
) via mixing, neutron-antineutron oscillation via regeneration from a sterile neutron state (n\rightarrow [n',\bar{n}'] \rightarrow \bar{n}n→[n
′
,
n
ˉ
′
]→
n
ˉ
), and neutron disappearance (n\rightarrow n'n→n
′
); the effective \Delta \mathcal{B}=0ΔB=0 process of neutron regeneration (n\rightarrow [n',\bar{n}'] \rightarrow nn→[n
′
,
n
ˉ
′
]→n) is also possible. The program can be used to discover and characterise mixing in the neutron, antineutron, and sterile neutron sectors. The experiment addresses topical open questions such as the origins of baryogenesis, the nature of dark matter, and is sensitive to scales of new physics substantially in excess of those available at colliders. A goal of the program is to open a discovery window to neutron conversion probabilities (sensitivities) by up to three orders of magnitude compared with previous searches. The opportunity to make such a leap in sensitivity tests should not be squandered. The experiment pulls together a diverse international team of physicists from the particle (collider and low energy) and nuclear physics communities, while also including specialists in neutronics and magnetics.
n
ˉ
remain relatively underexplored experimentally compared to other rare processes. By taking advantage of upcoming facilities such as the Deep Underground Neutrino Experiment and the European Spallation Source, this gap can be addressed with new intranuclear and free searches for neutron transformations with very high sensitivity, perhaps greater than three orders of magnitude higher than previous experimental searches. This proceedings reports on recent theoretical and experimental advances and sensitivities of next-generation searches for neutron transformations were detailed as part of the Amherst Center for Fundamental Interactions Workshop, "Theoretical Innovations for Future Experiments Regarding Baryon Number Violation," directly coordinated with the Rare Processes and Precision Measurements Frontier.
Graduate Talks by J. L . Barrow
Undergraduate Papers by J. L . Barrow
quasilinear biharmonic equations
∆(|∆ui|
p−2∆ui) = λiwi(x)fi(u1, . . . , um), x ∈ B1,
ui = ∆ui = 0, x ∈ ∂B1, i = 1, . . . , m,
where B1 = {x ∈ R2
: |x| < 1}. Under some suitable conditions on wi and
fi, we discuss the existence, uniqueness, and dependence of positive radially
symmetric solutions on the parameters λ1, . . . , λm. Moreover, two sequences
are constructed so that they converge uniformly to the unique solution of the
problem. An application to a special problem is also presented.
free, ground-state, main-group triatomic molecules manifest a periodicity
similar to those of atomic spectroscopic constants. This test and an earlier
test on energies of atomization underscore the role of the periodic law as
a foundation of chemistry. Using data from four data bases and from
computation, we have collected and have mapped ν1 data in mathematical
spaces of fixed-period molecules. These spaces are 8×8×8 atom cubes
with rare-gas molecules on each face. The ν1 collected from various
sources might be of use in searches for cold triatomics in interstellar
space.
Undergraduate Talks by J. L . Barrow
The goal of this work is to show that periodic trends exist in many constants of triatomic molecules when working from the arrangements of both row and group numbers developed from Mendeleev’s periodic table of elements. Our group considers various empirical sources for such data and move forward with calculations using diatomic analogs where possible. Otherwise, computation is used for all possible configurations of row two and row three main-group elements to both corroborate and extend empirical results and further the argument for periodicity. Organization of this data into a detailed, highly symmetric, multidimensional coordinate system allows for robust analysis of three modes of vibration frequencies, angles, and bond lengths. In principle, the techniques detailed here could be applied to all possible triatomic molecules across all elements of the periodic table, including main-group, transition and lanthanide metals.
quasilinear biharmonic equations
∆(|∆ui|
p−2∆ui) = λiwi(x)fi(u1, . . . , um), x ∈ B1,
ui = ∆ui = 0, x ∈ ∂B1, i = 1, . . . , m,
where B1 = {x ∈ R2
: |x| < 1}. Under some suitable conditions on wi and
fi, we discuss the existence, uniqueness, and dependence of positive radially
symmetric solutions on the parameters λ1, . . . , λm. Moreover, two sequences
are constructed so that they converge uniformly to the unique solution of the
problem. An application to a special problem is also presented.
Some of these original findings were not correct. See drafted paper "Semi-empirical searches for periodic trends in triatomic molecular vibration frequencies" for updates.
Papers by J. L . Barrow
n
ˉ
) via mixing, neutron-antineutron oscillation via regeneration from a sterile neutron state (n\rightarrow [n',\bar{n}'] \rightarrow \bar{n}n→[n
′
,
n
ˉ
′
]→
n
ˉ
), and neutron disappearance (n\rightarrow n'n→n
′
); the effective \Delta \mathcal{B}=0ΔB=0 process of neutron regeneration (n\rightarrow [n',\bar{n}'] \rightarrow nn→[n
′
,
n
ˉ
′
]→n) is also possible. The program can be used to discover and characterise mixing in the neutron, antineutron, and sterile neutron sectors. The experiment addresses topical open questions such as the origins of baryogenesis, the nature of dark matter, and is sensitive to scales of new physics substantially in excess of those available at colliders. A goal of the program is to open a discovery window to neutron conversion probabilities (sensitivities) by up to three orders of magnitude compared with previous searches. The opportunity to make such a leap in sensitivity tests should not be squandered. The experiment pulls together a diverse international team of physicists from the particle (collider and low energy) and nuclear physics communities, while also including specialists in neutronics and magnetics.
n
ˉ
remain relatively underexplored experimentally compared to other rare processes. By taking advantage of upcoming facilities such as the Deep Underground Neutrino Experiment and the European Spallation Source, this gap can be addressed with new intranuclear and free searches for neutron transformations with very high sensitivity, perhaps greater than three orders of magnitude higher than previous experimental searches. This proceedings reports on recent theoretical and experimental advances and sensitivities of next-generation searches for neutron transformations were detailed as part of the Amherst Center for Fundamental Interactions Workshop, "Theoretical Innovations for Future Experiments Regarding Baryon Number Violation," directly coordinated with the Rare Processes and Precision Measurements Frontier.
quasilinear biharmonic equations
∆(|∆ui|
p−2∆ui) = λiwi(x)fi(u1, . . . , um), x ∈ B1,
ui = ∆ui = 0, x ∈ ∂B1, i = 1, . . . , m,
where B1 = {x ∈ R2
: |x| < 1}. Under some suitable conditions on wi and
fi, we discuss the existence, uniqueness, and dependence of positive radially
symmetric solutions on the parameters λ1, . . . , λm. Moreover, two sequences
are constructed so that they converge uniformly to the unique solution of the
problem. An application to a special problem is also presented.
free, ground-state, main-group triatomic molecules manifest a periodicity
similar to those of atomic spectroscopic constants. This test and an earlier
test on energies of atomization underscore the role of the periodic law as
a foundation of chemistry. Using data from four data bases and from
computation, we have collected and have mapped ν1 data in mathematical
spaces of fixed-period molecules. These spaces are 8×8×8 atom cubes
with rare-gas molecules on each face. The ν1 collected from various
sources might be of use in searches for cold triatomics in interstellar
space.
The goal of this work is to show that periodic trends exist in many constants of triatomic molecules when working from the arrangements of both row and group numbers developed from Mendeleev’s periodic table of elements. Our group considers various empirical sources for such data and move forward with calculations using diatomic analogs where possible. Otherwise, computation is used for all possible configurations of row two and row three main-group elements to both corroborate and extend empirical results and further the argument for periodicity. Organization of this data into a detailed, highly symmetric, multidimensional coordinate system allows for robust analysis of three modes of vibration frequencies, angles, and bond lengths. In principle, the techniques detailed here could be applied to all possible triatomic molecules across all elements of the periodic table, including main-group, transition and lanthanide metals.
quasilinear biharmonic equations
∆(|∆ui|
p−2∆ui) = λiwi(x)fi(u1, . . . , um), x ∈ B1,
ui = ∆ui = 0, x ∈ ∂B1, i = 1, . . . , m,
where B1 = {x ∈ R2
: |x| < 1}. Under some suitable conditions on wi and
fi, we discuss the existence, uniqueness, and dependence of positive radially
symmetric solutions on the parameters λ1, . . . , λm. Moreover, two sequences
are constructed so that they converge uniformly to the unique solution of the
problem. An application to a special problem is also presented.
Some of these original findings were not correct. See drafted paper "Semi-empirical searches for periodic trends in triatomic molecular vibration frequencies" for updates.