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/nBodyPhaseSpace [ Modules ]

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NAME

module nBodyPhaseSpace

NOTES

Includes the routine integrate_nBodyPS needed for calculation of the n-body phase space volume (n=2,...,6) and also the routines momenta_in_nBodyPS, momenta_in_2BodyPS, ..., momenta_in_6BodyPS for the simulation of the particle momenta according to the n-body phase space.

nBodyPhaseSpace/momenta_in_nBodyPS [ Subroutines ]

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NAME

subroutine momenta_in_nBodyPS (srts, mass, pn)

PURPOSE

This subroutine determines momenta of outgoing particles according to n-body phase space (n=2,...,6). Vacuum prescription.

INPUTS

  • real :: srts -- sqrt(s)
  • real, dimension(:) :: mass -- masses of particles

OUTPUT

  • real, dimension(:,:) :: pn -- three-vectors of momenta (first index: momentum index, second index: particle)

NOTES

Subroutines momenta_in_2BodyPS, ... , momenta_in_6BodyPS can be also used directly instead.

nBodyPhaseSpace/momenta_in_2BodyPS [ Functions ]

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NAME

function momenta_in_2BodyPS (srts, mass) result (p2)

PURPOSE

This subroutine determines momenta of outgoing particles according to 2-body phase space. Vacuum prescription.

INPUTS

  • real :: srts -- sqrt(s)
  • real, dimension(2) :: mass -- masses of particles

OUTPUT

  • real, dimension(3,2) :: p2 -- 2 three-vectors of momenta (first index: momentum index, second index: particle)

NOTES

nBodyPhaseSpace/momenta_in_3BodyPS [ Functions ]

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NAME

function momenta_in_3BodyPS (srts, mass) result (p3)

PURPOSE

This subroutine determines momenta of outgoing particles according to 3-body phase space. Vacuum prescription!

INPUTS

  • real :: srts -- sqrt(s) in the reaction
  • real, dimension(3) :: mass -- Masses of the three particles

OUTPUT

  • real,dimension(3,3) :: p3 -- 3 three-vectors of momenta (first index: momentum index, second index: particle)

NOTES

Original name in old code: "bopsMom"

momenta_in_3BodyPS/ps3bo [ Subroutines ]

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NAME

subroutine ps3bo(m1,m2,m3,srts,m12,m23max,m23min)

PURPOSE

This subroutine determines the boundaries m23max,m23min in a Dalitz plot for given srts and m12 (m12=m12**2) notation from Particle Data Book p.176

INPUTS

  • real :: m1,m2,m3 -- masses of the three particles
  • real :: srts -- sqrt(s) in the problem
  • real :: m12 -- Mass of particles one and two

OUTPUT

  • real :: m23max,m23min

nBodyPhaseSpace/momenta_in_3Body_BYK [ Functions ]

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NAME

function momenta_in_3Body_BYK (srts, pcm_in, mass) result (p3)

PURPOSE

Determine momenta of outgoing Baryon (1), Hyperon (2) and Kaon (3) in BB->BYK collisions using Kaon angular and momentum disitributions from: Yu-Ming Zheng et al., PRC 69 (2004) 034907.

INPUTS

  • real :: srts -- sqrt(s) in the reaction
  • real :: pcm_in(1:3) -- CM 3-momentum of one of the incoming particles
  • real :: mass(1:3) -- Masses of the three particles

OUTPUT

  • real,dimension(3,3) :: p3 -- 3 three-vectors of momenta (first index: momentum index, second index: particle)

NOTES

Original name in old code: "bykmom"

TODO

  • 1) Use this routine not only for "N Y K", but also for "Delta Y K".
  • 2) Take care of potentials.

nBodyPhaseSpace/momenta_in_4BodyPS [ Functions ]

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NAME

function momenta_in_4BodyPS (srts, mass) result (p4)

PURPOSE

This subroutine determines momenta of outgoing particles according to 4-body phase space. Vacuum prescription

INPUTS

  • real :: srts -- sqrt(s)
  • real, dimension(4) :: mass -- masses of the 4 particles

OUTPUT

  • real, dimension(3,4) :: p4 -- 4 three-vectors of momenta (first index: momentum index, second index: particle)

NOTES

Original name in old code: "bopsMom4"

nBodyPhaseSpace/momenta_in_5BodyPS [ Functions ]

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NAME

function momenta_in_5BodyPS (srts, mass) result (p5)

PURPOSE

This subroutine determines momenta of outgoing particles according to 5-body phase space. Vacuum prescription.

INPUTS

  • real :: srts -- sqrt(s)
  • real, dimension(5) :: mass -- masses of particles

OUTPUT

  • real, dimension(3,5) :: p5 -- 5 three-vectors of momenta (first index: momentum index, second index: particle)

NOTES

Uses the recursion formula for the phase space (see PDG-2002, p.269) in a similar way as in subroutine momenta_in_4BodyPS.

nBodyPhaseSpace/momenta_in_6BodyPS [ Functions ]

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NAME

function momenta_in_6BodyPS (srts, mass) result (p6)

PURPOSE

This subroutine determines momenta of outgoing particles according to 6-body phase space. Vacuum prescription.

INPUTS

  • real :: srts -- sqrt(s)
  • real, dimension(6) :: mass -- masses of particles

OUTPUT

  • real, dimension(3,6) :: p6 -- 6 three-vectors of momenta (first index: momentum index, second index: particle)

NOTES

Uses the recursion formula for the phase space (see PDG-2002, p.269) in a similar way as in subroutine momenta_in_4BodyPS.

nBodyPhaseSpace/integrate_nBodyPS [ Functions ]

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NAME

function integrate_nBodyPS (srts, mass) result (phi)

PURPOSE

Determine the phase space volume for n=2,...,6 outgoing particles (see definition in PDG-booklet-2002 p. 269) INPUT:

  • real, intent(in) :: srts ! c.m. energy (GeV),
  • real, intent(in), dimension(:) :: mass ! masses of outgoing particles (GeV)
  • OUTPUT:
  • real, intent(out) :: phi ! phase space volume (GeV**(2*n-4))

NOTES: n=2,...,20 for the case when flagKopylov=.true.