Expansion in higher harmonics of boson stars using a generalized Ruffini-Bonazzola approach. Part 1. Bound states

Eby, Joshua; Suranyi, Peter; Wijewardhana, L. C. R.

doi:10.1088/1475-7516/2018/04/038

Title: Expansion in higher harmonics of boson stars using a generalized Ruffini-Bonazzola approach. Part 1. Bound states

Abstract

The method pioneered by Ruffini and Bonazzola (RB) to describe boson stars involves an expansion of the boson field which is linear in creation and annihilation operators. This expansion constitutes an exact solution to a non-interacting field theory, and has been used as a reasonable ansatz for an interacting one. In this work, we show how one can go beyond the RB ansatz towards an exact solution of the interacting operator Klein-Gordon equation, which can be solved iteratively to ever higher precision. Our Generalized Ruffini-Bonazzola approach takes into account contributions from nontrivial harmonic dependence of the wavefunction, using a sum of terms with energy $$k\,E_0$$, where $$k\geq1$$ and $$E_0$$ is the chemical potential of a single bound axion. The method critically depends on an expansion in a parameter $$\Delta \equiv \sqrt{1-E_0{}^2/m^2}<1$$, where $$m$$ is the mass of the boson. In the case of the axion potential, we calculate corrections which are relevant for axion stars in the transition or dense branches. We find with high precision the local minimum of the mass, $$M_{min}\approx 463\,f^2/m$$, at $$\Delta\approx0.27$$, where $$f$$ is the axion decay constant. This point marks the crossover from transition to dense branches of solutions, and a corresponding crossover from structural instability to stability.

Authors:

Eby, Joshua ^[1]; Suranyi, Peter ^[2]; Wijewardhana, L. C. R. ^[2]

Weizmann Inst. of Science, Rehovot (Israel)
Univ. of Cincinnati, OH (United States)

Publication Date:: Tue Apr 10 00:00:00 EDT 2018

Research Org.:: Fermi National Accelerator Laboratory (FNAL), Batavia, IL (United States)

Sponsoring Org.:: USDOE Office of Science (SC), High Energy Physics (HEP)

OSTI Identifier:: 1431581

Report Number(s):: FERMILAB-PUB-17-644-T; arXiv:1712.04941
Journal ID: ISSN 1475-7516; 1643231; TRN: US1802377

Grant/Contract Number:: AC02-07CH11359

Resource Type:: Accepted Manuscript

Journal Name:: Journal of Cosmology and Astroparticle Physics

Additional Journal Information:: Journal Volume: 2018; Journal Issue: 04; Journal ID: ISSN 1475-7516

Publisher:: Institute of Physics (IOP)

Country of Publication:: United States

Language:: English

Subject:: 79 ASTRONOMY AND ASTROPHYSICS; 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS

Citation Formats


                    Eby, Joshua, Suranyi, Peter, and Wijewardhana, L. C. R. Expansion in higher harmonics of boson stars using a generalized Ruffini-Bonazzola approach. Part 1. Bound states.  United States: N. p., 2018. 
Web.  doi:10.1088/1475-7516/2018/04/038.

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                    Eby, Joshua, Suranyi, Peter, & Wijewardhana, L. C. R. Expansion in higher harmonics of boson stars using a generalized Ruffini-Bonazzola approach. Part 1. Bound states.  United States.  https://doi.org/10.1088/1475-7516/2018/04/038

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                    Eby, Joshua, Suranyi, Peter, and Wijewardhana, L. C. R. Tue .  
"Expansion in higher harmonics of boson stars using a generalized Ruffini-Bonazzola approach. Part 1. Bound states".  United States.  https://doi.org/10.1088/1475-7516/2018/04/038.  https://www.osti.gov/servlets/purl/1431581.

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@article{osti_1431581,

  title        = {Expansion in higher harmonics of boson stars using a generalized Ruffini-Bonazzola approach. Part 1. Bound states},

  author       = {Eby, Joshua and Suranyi, Peter and Wijewardhana, L. C. R.},

  abstractNote = {The method pioneered by Ruffini and Bonazzola (RB) to describe boson stars involves an expansion of the boson field which is linear in creation and annihilation operators. This expansion constitutes an exact solution to a non-interacting field theory, and has been used as a reasonable ansatz for an interacting one. In this work, we show how one can go beyond the RB ansatz towards an exact solution of the interacting operator Klein-Gordon equation, which can be solved iteratively to ever higher precision. Our Generalized Ruffini-Bonazzola approach takes into account contributions from nontrivial harmonic dependence of the wavefunction, using a sum of terms with energy $k\,E_0$, where $k\geq1$ and $E_0$ is the chemical potential of a single bound axion. The method critically depends on an expansion in a parameter $\Delta \equiv \sqrt{1-E_0{}^2/m^2}<1$, where $m$ is the mass of the boson. In the case of the axion potential, we calculate corrections which are relevant for axion stars in the transition or dense branches. We find with high precision the local minimum of the mass, $M_{min}\approx 463\,f^2/m$, at $\Delta\approx0.27$, where $f$ is the axion decay constant. This point marks the crossover from transition to dense branches of solutions, and a corresponding crossover from structural instability to stability.},

  doi          = {10.1088/1475-7516/2018/04/038},

  journal      = {Journal of Cosmology and Astroparticle Physics},

  number       = 04,

  volume       = 2018,

  place        = {United States},

  year         = {Tue Apr 10 00:00:00 EDT 2018},

  month        = {Tue Apr 10 00:00:00 EDT 2018}

}

Copy to clipboard

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Works referenced in this record:

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Title: Expansion in higher harmonics of boson stars using a generalized Ruffini-Bonazzola approach. Part 1. Bound states

Abstract

Citation Formats

CP Conservation in the Presence of Pseudoparticles journal, June 1977

Constraints imposed by CP conservation in the presence of pseudoparticles journal, September 1977

A New Light Boson? journal, January 1978

Problem of Strong P and T Invariance in the Presence of Instantons journal, January 1978

A simple solution to the strong CP problem with a harmless axion journal, August 1981

Weak-Interaction Singlet and Strong CP Invariance journal, July 1979

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Klein-Gordon Geon journal, August 1968

Systems of Self-Gravitating Particles in General Relativity and the Concept of an Equation of State journal, November 1969

Cold Bose stars journal, June 1984

Boson Stars: Gravitational Equilibria of Self-Interacting Scalar Fields journal, November 1986

Dynamical evolution of boson stars: Perturbing the ground state journal, July 1990

Scalar soliton stars and black holes journal, June 1987

Oscillating soliton stars journal, April 1991

The Structure and Formation of Boson Stars journal, January 1992

Nontopological solitons journal, November 1992

Mass-radius relation of Newtonian self-gravitating Bose-Einstein condensates with short-range interactions. I. Analytical results journal, August 2011

Mass-radius relation of Newtonian self-gravitating Bose-Einstein condensates with short-range interactions. II. Numerical results journal, August 2011

Towards an analytic construction of the wavefunction of boson stars journal, August 2017

Profiles of boson stars with self-interactions journal, March 2018

Ultralight scalars as cosmological dark matter journal, February 2017

Axion miniclusters and Bose stars journal, November 1993

Can the dark matter halo be a collisionless ensemble of axion stars? journal, May 2013

Fast radio bursts and axion miniclusters journal, January 2015

Self-gravitating system made of axions journal, February 2011

Axion stars in the infrared limit journal, March 2015

Do dark matter axions form a condensate with long-range correlation? journal, November 2015

Dense Axion Stars journal, September 2016

Collapse of axion stars journal, December 2016

QCD axion star collapse with the chiral potential journal, June 2017

Dilute and dense axion stars journal, February 2018

The lifetime of axion stars journal, May 2016

Emission of photons and relativistic axions from axion stars journal, August 2017

On longevity of I-ball/oscillon journal, March 2017

Decay of ultralight axion condensates journal, January 2018

Quantum gravitational corrections to the functional Schrödinger equation journal, August 1991

The Schrödinger–Newton equation as a non-relativistic limit of self-gravitating Klein–Gordon and Dirac fields journal, October 2012

Relativistic Axions from Collapsing Bose Stars journal, January 2017

Black hole formation from axion stars journal, March 2017

Gravitational instability of scalar fields and formation of primordial black holes journal, August 1985

Comments on Nonlinear Wave Equations as Models for Elementary Particles journal, September 1964

Chiral dynamics in the large N limit journal, January 1980

The QCD axion, precisely journal, January 2016

Self-gravitating system made of axions text, January 2010

Mass-radius relation of Newtonian self-gravitating Bose-Einstein condensates with short-range interactions: I. Analytical results text, January 2011

Fast Radio Bursts and Axion Miniclusters text, January 2014

The Lifetime of Axion Stars text, January 2015

Black hole formation from axion stars text, January 2016

Emission of Photons and Relativistic Axions from Axion Stars text, January 2016

Ultralight scalars as cosmological dark matter text, January 2016

On Longevity of I-ball/Oscillon text, January 2016

Decay of Ultralight Axion Condensates text, January 2017

Dilute and dense axion stars text, January 2017

Axion Miniclusters and Bose Stars text, January 1993

Stochastic quantization and regularization journal, February 1984

Axionic boson stars in magnetized conducting media journal, June 1999

Bose-Einstein Condensation of Dark Matter Axions journal, September 2009

Collapse of Axion Stars text, January 2016

Axion Miniclusters and Bose Stars text, January 1993

Stability of condensed fuzzy dark matter halos journal, October 2018

Boson star from repulsive light scalars and gravitational waves journal, April 2019

Light majoron cold dark matter from topological defects and the formation of boson stars journal, September 2019

Vibrational modes of Q -balls journal, November 2018

Classical nonrelativistic effective field theory and the role of gravitational interactions journal, June 2019

Classical nonrelativistic effective field theory and the role of gravitational interactions text, January 2019

Classical Nonrelativistic Effective Field Theory and the Role of Gravitational Interactions text, January 2018

Vibrational modes of Q-balls text, January 2018

Stability of Condensed Fuzzy Dark Matter Halos text, January 2018

Light majoron cold dark matter from topological defects and the formation of boson stars text, January 2019

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Profiles of boson stars with self-interactions
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Ultralight scalars as cosmological dark matter
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Axion miniclusters and Bose stars
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Can the dark matter halo be a collisionless ensemble of axion stars?
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Fast radio bursts and axion miniclusters
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Self-gravitating system made of axions
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Axion stars in the infrared limit
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Do dark matter axions form a condensate with long-range correlation?
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Dense Axion Stars
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Collapse of axion stars
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QCD axion star collapse with the chiral potential
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Dilute and dense axion stars
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The lifetime of axion stars
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Emission of photons and relativistic axions from axion stars
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On longevity of I-ball/oscillon
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Decay of ultralight axion condensates
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The Schrödinger–Newton equation as a non-relativistic limit of self-gravitating Klein–Gordon and Dirac fields
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Relativistic Axions from Collapsing Bose Stars
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Black hole formation from axion stars
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Chiral dynamics in the large N limit
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The QCD axion, precisely
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Self-gravitating system made of axions
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Mass-radius relation of Newtonian self-gravitating Bose-Einstein condensates with short-range interactions: I. Analytical results
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Fast Radio Bursts and Axion Miniclusters
text, January 2014

The Lifetime of Axion Stars
text, January 2015

Black hole formation from axion stars
text, January 2016

Emission of Photons and Relativistic Axions from Axion Stars
text, January 2016

Ultralight scalars as cosmological dark matter
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On Longevity of I-ball/Oscillon
text, January 2016

Decay of Ultralight Axion Condensates
text, January 2017

Dilute and dense axion stars
text, January 2017

Axion Miniclusters and Bose Stars
text, January 1993

Stochastic quantization and regularization
journal, February 1984

Axionic boson stars in magnetized conducting media
journal, June 1999

Bose-Einstein Condensation of Dark Matter Axions
journal, September 2009

Collapse of Axion Stars
text, January 2016

Axion Miniclusters and Bose Stars
text, January 1993

Stability of condensed fuzzy dark matter halos
journal, October 2018

Boson star from repulsive light scalars and gravitational waves
journal, April 2019

Light majoron cold dark matter from topological defects and the formation of boson stars
journal, September 2019

Vibrational modes of $Q$ -balls
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Classical nonrelativistic effective field theory and the role of gravitational interactions
journal, June 2019

Classical nonrelativistic effective field theory and the role of gravitational interactions
text, January 2019

Classical Nonrelativistic Effective Field Theory and the Role of Gravitational Interactions
text, January 2018

Vibrational modes of Q-balls
text, January 2018

Stability of Condensed Fuzzy Dark Matter Halos
text, January 2018

Light majoron cold dark matter from topological defects and the formation of boson stars
text, January 2019